text
stringlengths
2
1.42k
label
int64
0
1
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; postulation; Newton polygon; interpolation; maximal rank; zero-dimensional subschemes Hirschowitz, A., La méthode d'Horace pour l'interpolation à plusieurs variables, Manuscripta Math., 50, 337-388, (1985)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hamburger-Noether matrices; equisingular deformations of curve singularities; infinitely near points; resolution procedure of a curve singularity; HN matrices; HN expansions; multiplicity sequence; HN deformations; Arf matrices; monoidal transformations Castellanos, J.: ''Hamburger-Noether matrices over rings'' J.P.P.A. 64 (1990) 7--19
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; Lagrangian tori; projective symplectic manifold; subnormal subgroup; web of submanifolds Hwang, J.-M., Weiss, R.M.: Webs of lagrangian tori in projective symplectic manifolds. Invent. Math. \textbf{192}(1), 83-109 (2012)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. star configuration; scheme; minimal free resolution
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. infinitely near points; Hilbert scheme BELGHITI (M.) . - Variété des points infiniment voisins d'ordre n des points du plan , C.R. Acad. Sci. Paris, t. 314, série I, 1992 , p. 541-545. MR 93a:14046 | Zbl 0815.14002
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. projective variety; group action; motive of the quotient scheme; submotive of invariants del Baño Rollin, Sebastian; Navarro Aznar, Vicente, On the motive of a quotient variety, Dedicated to the memory of Fernando Serrano, Collect. Math., 49, 2-3, 203-226, (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cohomology ring; graded Frobenius algebras; cup product; cohomology of Hilbert scheme Lehn, M; Sorger, C, The cup product of Hilbert schemes for \(K3\) surfaces, Invent. Math., 152, 305-329, (2003)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. complete intersection point; Chow group; Hilbert scheme; projectively generated ideal; CI points; maximal ideals; Murthy ring; \(K_ 0\) [W1]C. Weibel: ``Complete intersection points on affine varieties{'' Comm. in Algebra 12 (24) (1984) pp. 3011--3051.}
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classification of surface singularity; seminormal surface CUMINO, C.: Sulla seminormalità delle superficie algebriche. Rend. Sem. Mat. Univ. Padova58, 91--100 (1977)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Clemens' conjecture; rational curves; quintic threefold; Hilbert scheme T. Johnsen and S.\ L. Kleiman, Toward Clemens' conjecture in degrees between 10 and 24, Serdica Math. J. 23 (1997), no. 2, 131-142.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. involutions; quotient surface; \texttt{MAGMA} Rito, C., Involutions on surfaces with \(p\)\_{}\{g\} = \(q\) = 1, Collect. Math., 61, 81-106, (2010)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Harish-Chandra module; Hodge filtration; Hilbert scheme of n points; group action; Weil group; Hodge D-modules; isotypic component V. Ginzburg, Isospectral commuting variety and the Harish-Chandra \( D\)-module, Electronic preprint arXiv:1002.3311.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. irreducible holomorphic symplectic manifolds; Hilbert scheme; automorphisms; special lattices; classification Boissière, S.; Camere, C.; Sarti, A., Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices, Kyoto J. Math., 56, no. 3, 465-499, (2016)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert function; minimal free resolution of the homogeneous ideal of a \(k\)-configuration A. V. Geramita and Y. S. Shin, \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions, J. Algebra 213 (1999), 351--368.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. contraction of the minimal section of a ruled surface; Gorensteinness of two-dimensional singularity; Frobenius action; extension class Hidaka, F., Tomari, M., On singularities arising from the contraction of the minimal section of ruled surfaces, Manuscripta math., 65 (1989), 329-347.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. generic curves; Hilbert scheme Ellia, Ph.: Points rationnels de courbes génériques de ?3. Boll. Unione Mat. Ital. VI. Ser.4, 167-172 (1985)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. space curves; quartic surfaces; cubic surfaces; Hilbert scheme; Hilbert-flag scheme Kleppe, J.O., Ottem, John C.: Components of the Hilbert scheme of space curves on low-degree smooth surfaces. Int. J. Math. \textbf{26}(2) (2015)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. multiplier ideal; jumping number; rational singularity; surface; plane curve Tucker K.: Jumping numbers on algebraic surfaces with rational singularities. Trans. Amer. Math. Soc. 362(6), 3223--3241 (2010)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. trisecant lemma for curves; embedding of curves; Grassmann variety; Hilbert scheme; secant bundle Laudal O.A. (1978) A generalized trisecant lemma, in ''Algebraic geometry''. Lecture Notes in Mathematics 687: 112--149
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surfaces of general type; moduli spaces of algebraic surfaces; Cartwright-Steger surface; ball-quotient; Alexander stratifications
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. del Pezzo surface; rational double point; singularity; Weierstraß equation; positive characteristic
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quasi-homogeneous sipmle \(K3\) singularity; distribution of the terminal singularities on the minimal resolution of isolated 3-dimensional singularity K. WATANABE, Distribution formula for terminal singularities on the minimal resolution of quasi-homogeneous simple ^3-singularity, Thoku Math. J. 43 (1991) 275-288.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. analytic Hilbert quotient; momentum map; G-variety; semistability; complex reductive Lie group; good quotient; Weil divisor; geometric invariant theory (GIT) Greb, D, Compact Kähler quotients of algebraic varieties and geometric invariant theory, Adv. Math., 224, 401-431, (2010)
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; Hilbert polynomial; codimension 3; arithmetically Gorenstein closed subschemes Kleppe, J.; Miró-Roig, R. M., The dimension of the Hilbert scheme of Gorenstein codimension 3 subschemes, J. Pure Appl. Algebra, 127, 73-82, (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. regular; complete ideals; sandwiched singularity; analytic surface Fernández-Sánchez, J.: On sandwiched singularities and complete ideals. J. pure appl. Algebra 185, 165-175 (2003)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Frobenius categories; Iwanaga-Gorenstein algebras; Gorenstein-projective modules; Cohen-Macaulay modules; non-commutative resolutions; singularity categories; rational surface singularities M.~Kalck, O.~Iyama, M.~Wemyss, and D.~Yang. Frobenius categories, {G}orenstein algebras and rational surface singularities. {\em Compos. Math.}, 151(3):502--534, 2015. DOI 10.1112/S0010437X14007647; zbl 1327.14172; MR 3320570; arxiv 1209.4215
1
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. connectedness of subsets of the Hilbert scheme; Hilbert function stratum; Castelnuovo-Mumford regularity \textit{AimPL: Components of Hilbert Schemes}. Available at http://aimpl.org/hilbertschemes
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of a singularity; rational singularity; dual graph of a resolution; Dynkin diagram Z. Oer, A. Özkan and M. Tosun, On the classification of rational singularities of surfaces , Int. J. Pure Appl. Math. 41 (2007), 85-110.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Borel-Moore homology; blowup equation; Hirota differential; Hilbert scheme of points; equivariant \(K\)-Theory; localisation theorem; Grothendieck group; Uhlenbeck compactification; Whitham hierarchy; Hilbert series; super-symmetric Yang-Mills theory; Young diagram Nakajima, Hiraku; Yoshioka, Kōta, Instanton counting on blowup. I. 4-dimensional pure gauge theory, Invent. Math., 162, 2, 313-355, (2005)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Gröbner cells; Hilbert scheme of points Constantinescu, A.: Parametrizations of ideals in K[x,y] and K[x,y,z]. J. algebra 346, 1-30 (2011)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of singularities; Hilbert-Samuel function; Rees algebra; invariant; transversal projection Benito, A., Villamayor U., O.E.: On elimination of variables in the study of singularities in positive characteristic. arxiv.1103.3462
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. double planes; surface singularity; Milnor number
0
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; local flattener; unfolding of a finite map-germ; topological classification of finite stable map-germs Galligo, A.: Hilbert scheme as flattener. Proc. sympos. Pure math. 40, 449-452 (1983)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. simultaneous resolution of singularities; singular Gorenstein surface; rational mappings; non-singular Del Pezzo surfaces; Coxeter graphs; compactifications Bindschadler, D.; Brenton, L.; Drucker, D.: Rational mappings of del Pezzo surfaces and singular compactifications of two-dimensional affine varieties. Tôhoku math. J. 36, 591-609 (1984)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. liaison; linkage; subscheme of the Hilbert scheme; arithmetically Buchsbaum curve Mutsumi Amasaki, Examples of nonsingular irreducible curves which give reducible singular points of \?\?\?(\?_{\?,\?}), Publ. Res. Inst. Math. Sci. 21 (1985), no. 4, 761 -- 786.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. good postulation; specialization; degeneration; double line; double point; generic union of lines; sundial; residual scheme; Hartshorne-Hirschowitz theorem; Castelnuovo's inequality; Hilbert function
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Gorenstein surface singularity Okuma T. The plurigenera of Gorenstein surface singularities. Manuscripta Math, 1997, 94: 187--194
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; almost complex structure; pseudoholomorphic curves; desingularization; symmetric product; Hilbert-Chow morphism Voisin C.: On the Hilbert scheme of points of an almost complex fourfold. Ann. Inst. Fourier (Grenoble) 50(2), 689--722 (2000)
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; liaison; linkage; number of general points on a curve; space curves; normal bundle Perrin D., Courbes passant par m points généraux de \({\mathbb{P}^{3}}\), Mém. Soc. Math. France 28-29 (1987).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. homogeneous ideals; representable functors; Hilbert scheme A. Álvarez, F. Sancho, P. Sancho, Homogeneous Hilbert scheme. \textit{Proc. Amer. Math. Soc}. \textbf{136} (2008), 781-790. MR2361849 Zbl 1131.14008
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. DT/PT correspondence; quote scheme; motive wall-crossing; virtual Euler characteristic; symmetric product; Hilbert-Chow morphism; cohomological Hall algebra
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 space curves; Hilbert flag scheme; Hodge locus; non-reduced components
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic surface; quot scheme; stable pair; strange duality; virtual fundamental class
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; singularities; Euler characteristic; generating series; Young wall
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. graph manifold; complex algebraic surface; singularity; Seifert fibered space; covering space; homology equivalence; homeomorphism; Milnor fiber; \(\mu\) constant problem B. Perron and P. Shalen, Homeomorphic graph manifolds: a contribution to the \(\mu \) constant problem, Topology Appl. 99 (1999), no. 1, 1-39.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of singularity; isolated singular point; rational singularities; double covering
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Tate's algorithm; Kodaira symbol; non-perfect residue field; resolution of singularities; vlow-up; elliptic scheme; Néron model; discrete valuation ring; Néron model of an elliptic curve; Weierstrass equation Bégueri, L.: Dualité sur un Corps Local à Corps Résiduel Algébriquement Clos. Mémoire de la Société Mathématique de France, vol. 4. Gauthier-Villars, Paris (1980)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. curve with seminatural cohomology; smoothable curves; problem of maximal genus; Horace's method; Hilbert scheme of space curves
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. fat points; infinitesimal neighborhood; Hilbert function; minimal free resolution; double points; Horace lemma; residue; defect
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; Nakamura algorithm
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. equisingularity; discriminant; Whitney conditions; minimal surface singularity Eric Dago Akéké, ``Equisingular generic discriminants and Whitney conditions'', Ann. Fac. Sci. Toulouse, Math.17 (2008) no. 4, p. 661-671
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal projective degeneration; rational surface; rational singularities; ruled surface; non-rational singularity Bădescu, L., Normal projective degenerations of rational and ruled surfaces,J. reine angew. Math. (Crelle) 367 (1986), 76--89.
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; infinitesimal Torelli problem; double solid
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. stable pointed curves; moduli space; Veronese curves; Hilbert scheme; Chow variety M. Kapranov, Veronese curves and Grothendieck-Knudsen moduli space {\overline{M}_{0,n}}, J. Algebraic Geom. 2 (1993), no. 2, 239-262.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Riemann surface; resolution of singularities; Newton polygon Brieskorn, E., Knörrer, H.: Plane Algebraic Curves. Birkhäuser, Basel (1986)
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; tautological sheaf; intersection number Wang, X.Y.; Chen, H.B.; Wang, Y.J., Solution structures of tensor complementarity problem, Front. Math. China, (2017)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. maximal R-orders; global dimension; quotient singularity; indecomposable Cohen-Macaulay modules; power series ring M. Artin, Maximal orders of global dimension and Krull dimension two, Invent. Math. 84 (1986), no. 1, 195 -- 222. , https://doi.org/10.1007/BF01388739 M. Artin, Correction to: ''Maximal orders of global dimension and Krull dimension two'', Invent. Math. 90 (1987), no. 1, 217.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. scheme; cluster; group; group action; matrix factorization; quotient scheme; singular point Bertin, J., The punctual Hilbert scheme: an introduction, Proceedings of the Summer School 'Geometric Methods in Representation Theory'. I, 1-102, (2012), Soc. Math. France, Paris
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic curve; Green's conjecture; anticanonical surface; minimal free resolution Lelli-Chiesa, Margherita, Green's conjecture for curves on rational surfaces with an anticanonical pencil, Math. Z., 275, 3-4, 899-910, (2013)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. point space; noncommutative Hilbert scheme; naive blowup algebra Nevins, T.A., Sierra, S.J.: Naive blowups and canonical birationally commutative factors. arXiv:1206.0760 (2012)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. de Jonquières' formula; relative Hilbert scheme; family of nodal curves
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Eisenstein series; spectral resolution; Selberg trace formula; index of signature; Dolbeault operator; Hilbert modular varieties; signature defects of cusp singularities; values of L-series; Hirzebruch conjecture; dimension formula Müller, W, Signature defects of cusps of Hilbert modular varieties and values of \(L\)-series at \(s=1\), J. Differ. Geom., 20, 55-119, (1984)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Seiberg-Witten invariants; Hilbert schemes; Seiberg-Witten moduli space; Brill-Noether theory; Hilbert scheme; Seiberg-Witten theory; obstruction bundle Friedman R., Geom. 7 pp 451-- (1999)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. degeneration of Riemann surfaces; holomorphic fibration; monodromy; mapping class group; quotient family; quotient singularity
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 M. L. Green, ''Components of maximal dimension in the Noether-Lefschetz locus'', J. Diff. Geom. Vol 29, No. 2, 295-302, (1989)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. nodal curve; Bell polynomial; Enriques diagram; Hilbert scheme; Göttsche's conjecture; quintic threefold; abelian surfac S.\ L. Kleiman and R. Piene, Node polynomials for families: Methods and applications, Math. Nachr. 271 (2004), 69-90.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. pg-ideal; Rees algebra; normal Hilbert coefficient; Cohen-Macaulay; rational singularity T. Okuma, K.-I. Watanabe and K.-I. Yoshida, Rees algebras and \(p_g\)-ideals in a two-dimensional normal local domain, Proc. Amer. Math. Soc. 145 (2017), no. 1, 39--47.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. torus knots; Hilbert scheme; double affine Hecke algebra Gorsky, E; Neguţ, A, Refined knot invariants and Hilbert schemes, J. Math. Pures Appl, 9, 104, 403-435, (2015)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. log Enriques surface; K3 surface; exceptional divisor; discrepancy; log canonical singularity; Galois covering S.A. Kudryavtsev, Classification of logarithmic Enriques surfaces with \(\delta=2\) , Math. Notes 72 (2002), 660-666.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. stable curves; stable maps; algebraic moduli problems; moduli spaces; geometric invariant theory; Hilbert stability; log minimal model program; Hilbert scheme; Chow scheme Morrison I., GIT constructions of moduli spaces of stable curves and maps, Geometry of Riemann surfaces and their moduli spaces, Surv. Differ. Geom. 14, International Press, Somerville (2009), 315-369.
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; reducible non-reduced curve; chain-connected curve
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. infinitesimal deformations; rigidity; letterplace ideals; multigraded 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. Gauss map; normal bundle; 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. hyper-Kähler varieties; symplectic resolutions; crepant resolution conjecture; Chow rings; motives; orbifold cohomology; Hilbert schemes; generalized Kummer varieties; abelian varieties
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Artinian Gorenstein algebras; Macaulay's correspondence; punctual Hilbert scheme Casnati, G., Notari, R.: A structure theorem for 2-stretched Gorenstein algebras. J. Commut. Algebra. \textbf{8}(3), 295-335 (2016)
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 singularities; \({\mathbb C}^*\)-actions; weighted homogeneous; pencils of curves; resolution graphs T. Tomaru: \(\mathbb{C}^{*}\)-equivariant degenerations of curves and normal surface singularities with \(\mathbb{C}^{*}\)-action ,
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Cayley-Bacharach scheme; uniform position property; 0-dimensional scheme; Hilbert functions M. Kreuzer, On the canonical module of a \(0\)-dimensional scheme , Canad. J. Math. 46 (1994), 357-379.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. higher regulators; Hilbert modular surface; motivic cohomology; absolute Hodge cohomology Kings, G., Higher regulators, Hilbert modular surfaces, and special values of \textit{L}-functions, Duke Math. J., 92, 1, 61-127, (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(k\)-regular embeddings; secants; punctual Hilbert scheme; finite Gorenstein schemes
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. infinitesimal deformations; Zariski-differentials; dimension of the space of first order infinitesimal deformations of a cusp singularity; resolution graph [Be 2] K. Behnke. On the module of Zariski differentials and infinitesimal deformations of dusp singularities. Math. Ann. 271, 133--142, 1985
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hitchin fibrations; non-abelian Hodge theory; algebraic surfaces; commuting schemes; Hilbert scheme of points
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. log canonical threshold; del Pezzo surface; Fano variety; log terminal singularity I. Cheltsov, ''Log Canonical Thresholds of del Pezzo Surfaces,'' Geom. Funct. Anal. 18, 1118--1144 (2008).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. André-Oort conjecture; Hilbert modular surface C. Daw and A. Yafaev, An unconditional proof of the André-Oort conjecture for Hilbert modular surfaces, Manuscripta Math. 135 (2011), no. 1-2, 263-271.
0
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; Shimura datum; generic Mumford-Tate group; variation of Hodge structure; Hecke correspondence B. Edixhoven, On the André-Oort conjecture for Hilbert modular surfaces, Moduli of abelian varieties (Texel Island 1999), Birkhäuser, Basel (2001), 133-155.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. rational maps; dynamics; surface singularity; log-canonical singularity; valuation space C. Favre, Holomorphic self-maps of singular rational surfaces, Publ. Mat. 54(2) (2010), 389\Ndash432. \small\texttt DOI: 10.5565/PUBLMAT\(_{-}\)54210\(_{-}\)06.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. plane and space curves; projective curve; tree; bamboo; maximal rank; 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. algebraicity of compact Kähler manifold; rationality of projection manifold; resolution of the singularity; blow-up Hwang, J. -M.: Additive vector fields, algebraicity and rationality. Math. ann. 304, 757-767 (1996)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. symplectic variety; symplectic resolution; quotient singularities; binary tetrahedral group M. Lehn, C. Sorger, \textit{A symplectic resolution for the binary tetrahedral group}, in: \textit{Geometric Methods in Representation Theory.} II, Sémin. Congr., Vol. 24, Soc. Math. France, Paris, 2012, pp. 429-435.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. completion of algebraic group; action of algebraic group; Hilbert scheme Michel Brion, Group completions via Hilbert schemes, J. Algebraic Geom. 12 (2003), 605-626.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. triple contact of curves; Hilbert scheme; Schubert's enumerative calculus for triangles Roberts-Spelser , '' Enumerative Geometry of Triangles, III '' Comm. in Alg. 15(9) 1929-1966 (1987).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. orbifold cohomology; Hilbert scheme of points Fantechi, B.; Göttsche, L., Orbifold cohomology for global quotients, Duke math. J., 117, 2, 197-227, (2003)
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; Chow ring
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. nonsingular projective surface; semistable sheaves; moduli scheme; change of polarization
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; functor; commuting matrices T. S. Gustavsen, D. Laksov, R. M. Skjelnes, An elementary, explicit, proof of the existence of Hilbert schemes of points. \textit{J. Pure Appl. Algebra}\textbf{210} (2007), 705-720. MR2324602 Zbl 1122.14004
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Gorenstein ideals of codimension 4; resolution of Gorenstein artinian quotients; polynomial ring; preassigned Hilbert function; Betti numbers Pegg, DT, Complement of the Hamiltonian, Phys. Rev. A, 58, 4307, (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. categorification; Heisenberg algebra; McKay correspondence; Hilbert scheme S. Cautis & A. Licata, ``Heisenberg categorification and Hilbert schemes'', Duke Math. J.161 (2012) no. 13, p. 2469-2547
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. complex normal surface singularities; Kulikov singularities; resolution graph Stevens, J. , Kulikov singularities , Thesis, University of Leiden, 1985.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Parshin-Beilinson adeles; two-dimensional Noetherian scheme; algebraic surface
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. space curves; Hilbert scheme; composants [AAP]\textsc{S. Aït-Amrane}--\textsc{D. Perrin},\textit{Un contre-exemple sur les familles de courbes gauches}, Communications in Algebra,\textbf{28} (\textbf{12}) (2000), pp. 6003-6015.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. stable surface; T-singularity; I-surface; KSBA moduli space
0