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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. irregularity; divisor; cyclic coverings; resolution of singularity; vanishing of first cohomology Vaquié, Michel, Irrégularité des revêtements cycliques des surfaces projectives non singulières, Amer. J. math., 114, 6, 1187-1199, (1992), MR 1198299 (94d:14015)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; Milnor number; Tjurina number; smoothing; quasi-homogeneity; \(\mathbb{Q}\)-Gorenstein smoothing Wahl, J.: Milnor and Tjurina numbers for smoothings of surface singularities. Algebr. Geom. \textbf{2}(3), 315-331 (2015). 10.14231/AG-2015-014
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries).
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; space curve; Buchsbaum curve; unobstructedness; cup-product; graded Betti numbers; ghost terms; linkage; normal module; postulation Hilbert scheme Dan, A.: Non-reduced components of the Noether-Lefschetz locus. Preprint arXiv:1407.8491v2
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Calabi-Yau threefold; noncommutative resolution; ADE singularity
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. stable pairs of rank 2 over a compact Riemann surface; coarse moduli property; moduli scheme of stable pairs 30. Nitsure, Nitin Moduli space of semistable pairs on a curve \textit{Proc. London Math. Soc.}62 (1991) 275--300 Math Reviews MR1085642
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Kodaira singularity; deformation; surface singularity T. Tomaru: On Kodaira singularities defined by \(z^{n}=f(x,y)\) , Math. Z. 236 (2001), 133-149.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Białynicki-Birula decomposition; Gröbner bases
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Segre class; standard vector bundle; number of 4-secant planes Tikhomirov, A.; Troshina, T., Top Segre class of a standard vector bundle e4 D on the Hilbert scheme hilb4S of a surface S, 205-226, (1994)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Atiyah-Bott Lefschetz formula; (nested) Hilbert scheme of points; tangent spaces; diagonal coinvariants Can, M.: Nested Hilbert schemes and the nested q,t-Catalan series
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Calabi-Yau manifld; Enriques surfaces; Hilbert scheme
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. minimal free resolution; rational normal surface scroll; divisor
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. minimal free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme of points; natural isomorphisms; smooth surfaces; automorphisms
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. isomorphic deformation theories; deformation theory of space curves; Hilbert scheme of curves; deformation theories of a closed subscheme Charles H. Walter, Some examples of obstructed curves in \?³, Complex projective geometry (Trieste, 1989/Bergen, 1989) London Math. Soc. Lecture Note Ser., vol. 179, Cambridge Univ. Press, Cambridge, 1992, pp. 324 -- 340.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient singularity; trace ideal; invariant ring; nearly Gorenstein
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. graph of monomial ideals; multigraded Hilbert scheme; Schubert scheme; Gröbner bases; Gröbner degenerations; Stanley-Reisner ideals DOI: 10.1016/j.jpaa.2004.12.030
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Riemann surface; ramified covering; dessins d'enfants; Belyi function; braid group; Hurwitz scheme; hypermaps; bipartite maps A. Zvonkin, ''Megamaps: Construction and Examples,'' in: \textit{Discr. Math. Theor. Comput. Sci. Proc., AA} (2001), pp. 329-339.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Tate conjecture; compactification of Hilbert-Blumenthal surface; L- function; algebraic cycles; Hirzebruch-Zagier cycles Harder, G.; Langlands, R. P.; Rapoport, M., Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. Reine Angew. Math., 0075-4102, 366, 53-120, (1986)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme Nollet, S., A remark on connectedness in Hilbert scheme, Communications in Algebra, 28, 5745-5747, (2000)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. space curve; Hilbert scheme; deformation theory; liaison; semistable normal bundle; linkage D. PERRIN . - C. R. Acad. Sci. Paris, 300, Série I, N^\circ 2, 1985 , p. 39-42. MR 86h:14026b | Zbl 0586.14025
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. computer vision; algebraic vision; multiview geometry; projective reconstruction; Hilbert scheme
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Dynkin graphs; minimal resolution of a normal quartic surface; classification of singularities of plane sextics; classification of singular quartic surfaces Urabe, T.: Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs. Proc. 1984 Vancouver Conf. Alg. Geom., CMS Conf. Proc.6, 477-497 (1986)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Hilbert function Gotzmann, G.: Durch Hilbertfunktionen definierte Unterschemata des Hilbertschemas. Comment. Math. Helv.63, 114--149 (1988)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. modular operad; log-canonical Hilbert scheme
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Deligne conjecture; lisse sheaf; \(\ell\)-adic representation; independence of \(\ell\); Langlands conjecture; local system; arithmetic scheme; Hilbert irreducibility; weakly motivic Drinfeld, V., On a conjecture of Deligne, Moscow Math. J., 12, 515-542, (2012)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Cohen-Macaulay order; exact category; \(L\)-functor; triadic category; almost split sequence; isolated singularity; representation-finite; non-commutative resolution; Gorenstein ring; Gorenstein projective
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. reducible Hilbert scheme; F 48.068701; irreducible components of the Hilbert scheme; positive Brill-Noether number Keem, C, Reducible Hilbert scheme of smooth curves with positive brill-Noether number, Proc. Amer. Math. Soc., 122, 349-354, (1994)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classifying point systems; superabundant subschemes; Hilbert scheme Coppo, M. -A.: Familles maximales de systèmes de points surabondants dans P2. Math. ann. 291, 725-735 (1991)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quasi-homogeneous hypersurface singularity; normal surface singularity
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. number of components of Hilbert scheme; non-general-type surfaces; initial ideals; codimension-two subvariety Braun, R; Floystad, G, A bound for the degree of smooth surfaces in \({\mathbb{P}}^4\) not of general type, Compositio Math., 93, 211-229, (1994)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; minimal model program; quiver representations; Bridgeland stability conditions Arcara, D.; Bertram, A.; Coskun, I.; Huizenga, J., The minimal model program for the Hilbert scheme of points on \(\mathbb{P}^2\) and Bridgeland stability, Adv. Math., 235, 580-626, (2013)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. formal deformation theory; differential graded Lie algebra; Hilbert scheme; Bernoulli number; Lie atom; Lie pair; Jacobi-Bernoulli complex Ran Z., Lie atoms and their deformations, Geom. Funct. Anal., 2008, 18(1), 184--221
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; singularities; Borel-fixed points; deformations of ideals
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal surface singularity; sandwiched singularity; complete ideal; Enriques diagram; equisingularity Alberich-Carramiñana, M.; Fernández-Sánchez, J.: Equisingularity classes of birational projections of normal singularities to a plane, Adv. math. 216, 753-770 (2007)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. number theory; algebraic point; Hilbert scheme; heights
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. abelian surface in \({\mathbb{P}}_ 4\); Horrocks-Mumford bundle; Hilbert modular surface; Clebsch cubic K. Hulek and H. Lange, The Hilbert modular surface for the ideal ( 5) and the Horrocks- Mumford bundle, Math. Z. 198 (1988), 95-116.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert irreducibility theorem; Hilbert property; Chevalley-Weil theorem; Enriques surface; weak approximation Corvaja, Pietro; Zannier, Umberto, On the Hilbert property and the fundamental group of algebraic varieties, Math. Z., 286, 1-2, 579-602, (2017)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Enriques' classification; Hilbert scheme; Castelnuovo's theory; surfaces in \(\mathbb{P}^4\) Gennaro, V, A note on smooth surfaces in \({\mathbb{P}}^4\), Geometriae Dedicata, 71, 91-96, (1998)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. rational normal scroll; Veronese embedding; join variety; multiprojective space; variety of complexes; variety of minimal degree; double structure; \(K3\) surface; Calabi-Yau scheme; Gorenstein ring; Gröbner basis
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hodge ring of an Abelian variety; divisor classes; Hodge conjecture; Hilbert modular surface Fumio Hazama, ''Algebraic cycles on certain abelian varieties and powers of special surfaces'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.31 (1985) no. 3, p. 487-520
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Ricci flat Kähler metric; hyper-Kähler; Hilbert scheme; holomorphic symplectic form; moduli space; Mukai vector; Bogomolov decomposition. K.\ G. O'Grady, A new six-dimensional irreducible symplectic variety, J. Algebraic Geom. 12 (2003), no. 3, 435-505.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme of smooth connected space curves; degree; genus Kleppe, J.O.: On the existence of nice components in the Hilbert Scheme \(\text{H}(d,g)\) of Smooth Connected Space Curves. Boll. U.M.I (7) 8-B, 305-326 (1994)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert-scheme; moduli space of curves Sernesi E. '' On the existence of certain families of curve .'', Inv. Math. 75 ( 1984 ), 125 - 171 . MR 728137 | Zbl 0541.14024
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. nilpotent orbit; induced orbit; Mukai flop; Springer map; terminal singularity; Jacobson-Morozov resolution Namikawa Y. Induced nilpotent orbits and birational geometry. Adv Math, 2009, 222: 547--564
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. minimal analytic compactification; surface singularity
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. linkage; deficiency module; space curve; maximal genus; Hilbert scheme
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; linear series; linearly normal curves
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. paracanonical curve; Koszul cohomology; natural resolution; Barth-Verra surface 10.1215/00127094-3792814
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. decomposition of Hartshorne-Rao module; arithmetical Cohen-Macaulay scheme; liaison addition; arithmetically Buchsbaum schemes; double linkage; Hilbert functions
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. reductive group action; linearization; good quotient; Hilbert-Mumford theorems Jürgen Hausen, Geometric invariant theory based on Weil divisors, Compos. Math. 140 (2004), no. 6, 1518 -- 1536.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Chow ring; hyper-Kähler manifold; Hilbert scheme of points; Fano variety of lines
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. topological invariants of algebraic varieties; homology groups; fundamental groups; Alexander polynomials; Hodge structures; Whitney stratifications; plane curve and normal surface singularities; Milnor fibration; lattice for an isolated hypersurface singularity; integral bilinear forms; weighted projective varieties; mixed Hodge structures; hypersurface complements; cohomology of complete intersections A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert function; unions of linear spaces; zero-dimensional scheme
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Gromov-Witten; Donaldson-Thomas; Hilbert scheme A. Okounkov and R. Pandharipande, \textit{The local Donaldson-Thomas theory of curves}, math.AG/0512573.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Riemann surface; real multiplication; stable curve; moduli space; Deligne-Mumford compactification; differential form; Teichmüller curve; Hilbert modular variety M. Bainbridge; M. Möller, The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3, Acta Math., 208, 1-92, (2012)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. coherent sheaves; finite length modules; Grothendieck ring of varieties; Hilbert scheme of points; torus actions
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. K3 surface; resolution of singularities; Prym variety; lattice of transcendental cycles; Kuga-Satake-Deligne correspondence Bonfanti, M.: On the cohomology of regular surfaces isogenous to a product of curves with \(\chi ({\mathcal O}_S)=2\). arXiv:1512.03168v1
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic model of a \(C^{\infty }\) manifold; real algebraic; coarse moduli scheme; Kuranishi family; Hilbert scheme; polarized manifold; algebraic space; Hilbert polynomial Ballico, E., ?An addendum on algebraic models of smooth models?,Geom Dedicata 38 (1991), 343-346.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cusp singularity; automorphism group of an Inoue-Hirzebruch surface [25] Pinkham (H. C.).-- Automorphisms of cusps and Inoue-Hirzebruch surfaces, Compositio Math., 52(3), p.~299-313 (1984). Numdam | &MR~7 | &Zbl~0573.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. generalized holomorphic conformal structure; compact complex surface; uniformization; Hilbert modular surfaces; singular Einstein-Kähler metrics R. Kobayashi and I. Naruki: Holomorphic conformal structures and uniformiza-tion of complex surfaces. Math. Ann., 279, 485-500 (1988). _
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. punctual Hilbert scheme; graded Gorenstein quotients; Hilbert function; dimension Kleppe, JO, The smoothness and the dimension of \({\mathrm PGor}(H)\) and of other strata of the punctual Hilbert scheme, J. Algebra, 200, 606-628, (1998)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Fano polygon; cyclic quotient singularity; singularity content; \(r\)-modular sequence; winding number
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. ideal generation conjecture; symbolic powers; minimal free resolution; fat points; maximal rank; Hilbert function; regularity; quasiuniformity Harbourne, B.; Holay, S.; Fitchett, S., Resolutions of ideals of quasiuniform fat point subschemes of \(\mathbb P^2,\), Trans. Amer. Math. Soc., 355, 2, 593-608, (2003)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; \(Q\)-Gorenstein singularities; smoothing
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; rational homology sphere; Milnor fibre
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Rationality of Moduli Scheme; Holomorphic Vector Bundle; Singularity Hulek, K., Stable rank-2 vector bundles on \(\mathbf{P}_2\) with \(c_1\) odd, Math. Ann., 242, 3, 241-266, (1979)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(cDV\) singularity; Gorenstein threefold singularity; small resolution; versal deformation spaces Katz, S.: Small resolutions of Gorenstein threefold singularities. Algebraic geometry: Sundance 1988, pp. 61-70, Contemp. Math., vol. 116, Am. Math. Soc., Providence, RI (1991)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classification of 3-folds of general type; numerically effective canonical divisor; crepant resolution; canonical models; partial resolution; exceptional prime divisor; terminal singularity; quick singularities M. Reid, \textit{Minimal models of canonical} 3\textit{-folds}, in \textit{Algebraic varieties and analytic varieties (Tokyo, 1981)}, \textit{Adv. Stud. Pure Math.}\textbf{1} (1983) 131, North-Holland, Amsterdam, The Netherlands.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme compactification of the space of twisted cubic; curves; Piene-Schlessinger comparison theorem; infinitesimal deformation; Hilbert scheme compactification of the space of twisted cubic curves R. Piene and M. Schlessinger, On the Hilbert scheme compactification of the space of twisted cubics, Amer. J. Math. 107 (1985), no. 4, 761-774.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; tautological bundles; McKay correspondence; Fourier-Mukai functor
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; complete intersections; Grassmann variety of pencils of quadrics Avritzer, D., Vainsencher, I.: The Hilbert Scheme component of the intersection of 2 quadrics, Comm. Alg., 27 (1999), 2995--3008
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. elliptic \(K3\)-surface; moduli space; Hilbert scheme Qin, Zhenbo, Moduli of simple rank-\(2\) sheaves on \(K3\)-surfaces, Manuscripta Math., 79, 3-4, 253-265, (1993)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. vector bundles; conformal quantum field theory; Verlinde formula; Hilbert functions of moduli spaces of semi-stable vector bundles; compact Riemann surface; generalized theta bundle; Witten conjecture; intersection theory of moduli spaces of algebraic curves; topological field theories; fusion algebras Szenes, A.: The combinatorics of the Verlinde formulas In: Vector Bundles in Algebraic Geometry, Hitchin, N.J., et al., (eds.), Cambridge University Press, 1995
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic space; blow-up; constructible topology; patch topology; effective descent; étale morphism; finitely presented morphism; flatification; geometric quotient; \(h\)-topology; integral morphism; schematically dominant morphism; scheme; proper morphism; \(S\)-topology; submersion; subtrusion; universally closed; totally integrally closed scheme; (absolute) weak normalization Rydh, D., Submersions and effective descent of étale morphisms, Bull. Soc. Math. France, 138, 2, 181-230, (2010)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Betti number; cohomology; homology; saturated monomial ideal
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. derived McKay correspondence; Hilbert scheme; tautological bundle
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. isolated surface singularities; resolution; maximal cycles; effective divisor González-Sprinberg, G., Cycle maximal et invariant d'Euler local des singularités isolées de surfaces, Topology, 21, 4, 401-408, (1982)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert modular surface; Hirzebruch-Zagier divisor; arithmetic intersection; Colmez conjecture; Igusa invariants; Faltings' height Yang, T. H., \textit{arithmetic intersection on a Hilbert modular surface and the faltings height}, Asian J. Math., 17, 335-381, (2013)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. terminal singularity; discrepancy; economic resolution Nagoya Math. J. 178 pp 117-- (2005)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. symplectic structure; moment map; hyper-Kähler quotients; Dynkin diagrams; vertex algebra; symmetric products; Hilbert scheme of points; Poincaré polynomials; Heisenberg algebra; Morse theory; intersection cohomology H. Nakajima, \textit{Lectures on Hilbert schemes of points on surfaces}, \textit{University Lecture Series}\textbf{18}, American Mathematical Society, Providence RI U.S.A., (1999).
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Inoue surface; global spherical shell; cusp singularity; Hopf surfaces; surfaces of type VII; deformation I. Nakamura, Towards classification of non-Kählerian complex surfaces , Sugaku 36 (1984), 110-124; English translation in Sugaku Expositions 2 (1989), 209-229.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. singularities; affine surface of log-general type; minimal embedded resolution; Euler characteristic; rational cuspidal curve; sequence of multiplicities T. Fenske, Rational cuspidal plane curves of type {(d,d-4)} with {\({\chi}\)(\({\Theta}\)_{V}\(\langle\) D\(\rangle\))\(\leq\) 0}, Manuscripta Math. 98 (1999), no. 4, 511-527.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. logarithmic Higgs bundle; Hilbert scheme; Fourier-Mukai transformation; stability
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme of points; Borel ideal; segment ideal; Gröbner stratum; degrevlex term order; Gotzmann number Cioffi, F.; Lella, P.; Marinari, M. G.; Roggero, M., Segments and Hilbert schemes of points, Discrete Math., 311, 20, 2238-2252, (2011)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; locally Cohen-Macaulay space curve; degree; genus Aït Amrane, S, Sur le schéma de Hilbert des courbes de degré \(d\) et genre\((d-3)(d-4)/2\) de \(\mathbf{P}^3_k\), C. R. Acad. Sci. Paris Sér. I Math., 326, 851-856, (1998)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. space curve; Hilbert scheme; arithmetically Cohen-Macaulay curves
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. log del Pezzo surface; minimal compactification; singularity type H. Kojima, Minimal singular compactifications of the affine plane. Nihonkai Math. J. 12(2), 165-195 (2001)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. abelian variety; polynomial Pell equation; abelian scheme; flat subgroup scheme; elliptic surface
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. covering, local fundamental group; Nori group scheme; rational singularity Esnault, H.; Viehweg, E.: Surface singularities dominated by smooth varieties, J. reine angew. Math. 649, 1-9 (2010)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Mori theory; minimal models; Fano variety; Hilbert scheme; rational curves; Chow schemes; vanishing; positive characteristic; Mori's minimal model program; cone theorem; del Pezzo surfaces; Fano varieties Kollár, J., Rational Curves on Algebraic Varieties, (1995), Springer: Springer Berlin
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. real inflexional points; Hilbert scheme; ramification point; deformations
| 0 |
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Ulrich modules; special Cohen-Macaulay modules; McKay correspondence; cyclic quotient surface singularities
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. smoothability; zero-dimensional schemes; Gorenstein algebras; Hilbert scheme J. Jelisiejew, \textit{Local finite-dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable}, J. Algebra App., 13 (2014), 1450056.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. group scheme; Kleinian singularity; invariant theory Has1 M.~Hashimoto, Classification of the linearly reductive finite subgroup schemes of \(SL_2\), Acta Math. Vietnam. \textbf 40 (2015), no. 3, 527--534.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Bridgeland stability conditions; wall-crossings; moduli spaces of stable objects, Hilbert scheme of twisted cubics
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Brill-Noether theory; linear series H. Iliev, On the irreducibility of the Hilbert scheme of curves in \(\mb{P}^5\), Comm. Algebra 36 (2008), no. 4, 1550--1564.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classification of non-Gorenstein Fano 3-folds; singularity index; Enriques surfaces as hyperplane sections; cyclic quotient singularities Sano, T.: On classification of non-Gorenstein \({\mathbb Q}\)-Fano \(3\)-folds of Fano index \(1\). J. Math. Soc. Japan 47, (1995) 369-380.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. finite analytic algebras; modules of differentials; module of; derivations; Hilbert scheme; embedded deformation; computing the Hilbert- Samuel function
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