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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. Donaldson-Thomas theory of DM stacks; quantum cohomology; 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. shuffle algebra; Hilbert scheme; vertex operator; Heisenberg algebra; Fock space; Macdonald polynomial Feigin, BL; Tsymbaliuk, AI, Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra, Kyoto J. Math., 51, 831-854, (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 function; stratification of Hilbert scheme of the projective plane Gotzmann, G.: A stratification of the Hilbert scheme of points in the projective plane. Math. Z.199, 539--547 (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. Hilbert scheme; Quot scheme; reductive group; primitive vector Jansou, S., Le schéma quot invariant, J. Algebra, 306, 2, 461-493, (2006)
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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. Lefschetz fixed point theorem; singularity of moduli space; Enriques surfaces; Riemann surface; pseudoreflections; K3-surfaces
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. connectivity of Hilbert scheme of curves; punctual Hilbert schemes
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. toric Hilbert scheme; log geometry Olsson, M.: Logarithmic interpretation of the main component in toric Hilbert schemes. In: Curves and Abelian Varieties, volume 465 of Contemp. Math., pp 231-252. American Mathematical Society, Providence, RI (2008)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Reflexive sheaf; reflexive module; locally free sheaf; resolution of singularity; quadratic transform
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. multiple line; Hilbert scheme; embedding dimension
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert schemes of points; \(r\)-fold symmetric product of projective surface; deformation theory Fantechi, B., Deformation of Hilbert schemes of points on a surface, Compos. Math., 98, 2, 205-217, (1995), MR 1354269
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Surface singularity; maximal Cohen-Macaulay module; integrable connection; elliptic curve; local fundamental group Gustavsen, T. S.; Ile, R., Representation theory for log-canonical surface singularities, Université de Grenoble. Annales de l'Institut Fourier, 60, 389-416, (2010)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. moduli spaces of sheaves; Vafa-Witten theory; Donaldson theory; 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. differential Horace method; singular hypersurface; prescribed singularity; multiplicity; Hilbert function K. Chandler: ''A brief proof of a maximal rank theorem for generic double points in projective space'', Trans. Amer. Math. Soc., Vol. 353(5), (2000), pp. 1907--1920.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cubic surface; counterexample to the Hasse principle; moduli scheme Andreas-Stephan Elsenhans & Jörg Jahnel, ``Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme'', Adv. Math.280 (2015), p. 360-378
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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 singularities; \({bbfC}^ *\)-action; regular system of weights; quotient varieties; polyhedral groups; Heisenberg groups; Fuchsian groups K. Saito, Regular system of weights and their associated singularities, in Complex analytic singularities, Adv. Stud. Pure Math. 8, Academic Press, Boston, MA, and Kinokuniya, Tokyo, 1987, 479-526.
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; tautological integrals; Segre and Verlinde numbers
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; degree of secant variety; degree of tangent variety
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 hypersurface singularity; normal surface singularity T. Tomaru, Cyclic quotients of \(2\)-dimensional quasi-homogeneous hypersurface singularities, Math. Z., 210 (1992), 225-244.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. combinatorial manifold; combinatorial pseudomanifold; intersection form; \(K3\) surface; Kummer variety; resolution of singularities; simplicial Hopf map J. Spreer, \textit{Blowups, slicings and permutation groups in combinatorial topology}, PhD thesis, University of Stuttgart, 2011.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. syzygies; Koszul complex; Hilbert function; Green-Lazarsfeld conjecture; minimal resolution conjecture [CRV3] Cavaliere, M.P., Rossi, M.E., Valla, G.: On Green-Lazarsfeld and Minimal resolution conjecture forn+3 points inP n . J. Pure Appl. Algebra85, 105--117 (1993)
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; Hilbert scheme; moduli space; reducible curve; partial smoothing
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; pencil genus; pencil of curves; weakly Kodaira singularity T. Tomaru, On some classes of weakly Kodaira singularities, In: Singularités Franco-Japonaises, Sémin. Congr., 10 , Soc. Math. France, 2005, pp.,323-340.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(\delta\)-invariant; maximal Cohen-Macaulay approximation; hypersurface singularity; Tate resolution
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. analytic compactification; quotient surface; cyclic group M. Abe, M. Furushima, andT. Shima, Analytic compactifications of /\(\mathbb{Z}\)n.Abh. Math. Sem. Univ. Hamburg 74 (2004), 223--235.
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 Artin M., Maximal orders of global dimension and Krull dimension two, Invent. Math., 1986, 84(1), 195--222
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient of a linear space; 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 modules; Shilov resolution; homological algebra; locally free module; spectrum; tensor product of modules; quasisimilar modules; local invariants; essentially reducible module Douglas R. Invariants for Hilbert Modules. Proceedings of Symposia in Pure Mathematics, Vol. 51,Part 1, 1990, 179--196
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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. Artin-Schelter Cohen-Macaulay algebra; Artin-Schelter Gorenstein algebra; Cohen-Macaulay ring; fully bounded noetherian algebra; isolated singularity; maximal Cohen-Macaulay module; non-commutative projective scheme; punctured spectrum Jørgensen, P., Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math., 60, 379-390, (2008)
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; algebraic curves; linear series
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; compactification of the affine plane; quotient singular point
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. germs of curves; rational surface singularity; equisingularity; infinitely near points Reguera-López, A. J.: Curves and proximity on rational surface singularities. J. pure appl. Algebra 122, No. 1-2, 107-126 (1997)
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; locally Cohen-Macaulay curves; ropes; cohomology R. Notari, I. Ojeda, M.L. Spreafico, Non-degenerate projective curves with very degenerate hyperplane section, Math. Z, to appear
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. moduli space; del Pezzo surface; geometric quotient; icosahedral group
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quasirational singularities; 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. Koszul resolution; Riemann-Hurwitz formula; ramification indices; complete intersection; arithmetic genus; Hilbert polynomial; regular differentials on the curve F. Arslan, S. Sertöz: Genus calculations of complete intersections. Commun. Algebra 26 (1998), 2463--2471.
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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. reflexive sheaf; stable reflexive sheaf; moduli space of reflexive sheaves; Serre correspondence; Hilbert scheme of curves; Donaldson-Thomas invariants P. Vermeire: Moduli of reflexive sheaves on smooth projective \(3\)-folds , J. Pure Appl. Algebra 211 (2007), 622--632.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal bundle; Hilbert scheme; gaps for the arithmetic genera; locally 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. toric ideal; toric Hilbert scheme; codimension 2 toric varieties; multigraded Hilbert function; syzygies; coherence of graded ideal; polynomial ring V. Gasharov and I. Peeva, Deformations of codimension \(2\) toric varieties , Compositio Math. 123 (2000), 225--241.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. equivariant Grothendieck groups; equivariant Chow groups; good scheme; Riemann-Roch theorem; Chow group; quotient stack; totally split torus --. --. --. --., ``Equivariant Grothendieck groups and equivariant Chow groups'' in Classification of Irregular Varieties (Trento, Italy, 1990) , ed. E. Ballico, F. Catanese, and C. Ciliberto, Lecture Notes in Math. 1515 , Springer, Berlin, 1992, 112--133.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. secant variety; Hilbert scheme; zero-dimensional scheme
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. deformation of singularity; cyclic quotient singularities; \(P\)- resolutions Stevens, J.: On the versal deformation of cyclic quotient singularities. In: Singularity Theory and its Applications, Warwick 1989, Part I: Geometric Aspects of Singularities, pp. 302--319, Springer-Verlag Berlin Heidelberg, 1991 (LNM 1462).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. conic; general hypersurface; 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. full exceptional set; category of coherent sheaves; del Pezzo surface; bounded derived category; log-terminal singularity; projective space Elagin [Elagin 07] A. D., Math. Notes 82 pp 33-- (2007)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. moduli space; abelian fourfold; automorphism; Shimura variety; Hilbert modular surface; zeta function; L-series DOI: 10.1142/S0129167X1250108X
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. line complex; hypersurface in the Grassmannian; multiple intersections; stationary multiple point; 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. Hilbert scheme; Brill-Noether stratum Rahavandrainy, O.: Quelques composantes des strates de brill -- Noether de \(Hilbn(P2)\). C. R. Math. acad. Sci. Paris 322, 455-460 (1996)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution A. Pressley and G. Segal, \textit{Loop Groups}, Clarendon Press, Oxford (1986).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. minimal resolutions; 3-dimensional quotient singularity S.-S. Roan: On cx - 0 resolution of quotient singularity. Intern. Jour, of Math.,5, 523-536 (1994).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. 1-form; group action; index; real quotient singularity; signature formula
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. monodromy; hypersurface singularity; germ of a holomorphic function; zeta function; Euler characteristic; Milnor fiber; resolution of singularities Deligne, P.: Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math., vol. 44, pp. 5-77 (1974)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert series; singular surfaces; \(K3\) surface; general elephant; anticanonical ring of a Fano \(3\)-fold
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. (flat) connection; (ir)regular singularity; Riemann-Hilbert and Birkhoff problems; monodromy representation; Stokes sheaf; holonomic module; lattice; integrable deformation Claude Sabbah, Déformations isomonodromiques et variétés de Frobenius, Savoirs Actuels, EDP Sciences, Les Ulis, 2002, Mathématiques.
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; Quot scheme; holomorphic vector bundle; moduli space; Poincaré polynomial Biswas, I.; Dhillon, A.; Hurtubise, J.; Wentworth, R., A generalized quot scheme and meromorphic vortices, Adv. Theor. Math. Phys., 19, 4, 905-921, (2015)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. polarized abelian surface; hyperelliptic curves; Gromov-Witten crepant resolution conjecture MacMahon, PA: Divisors of numbers and their continuations in the theory of partitions. In: Andrews, G (ed.)\textit{Reprinted: Percy A. MacMahon Collected Papers}, pp. 305-341. MIT Press, Cambridge (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. postulation Hilbert scheme; incidence; stratification; deformation Denaeghel, K.; Den Bergh, M. Van: On incidence between strata of the Hilbert scheme of points on P2, Math. Z. 255, 897-922 (2007)
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; Hirzebruch-Zagier cycles; Shimura varieties
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; quot scheme; tautological bundles
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. ADE singularity; Hilbert-Kunz function; vector bundle; Frobenius; Hilbert-series; Syzygy module; matrix factorization; maximal Cohen-Macaulay Brinkmann, Daniel, The Hilbert-Kunz functions of two-dimensional rings of type ADE, J. Algebra, 469, 358-389, (2017)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. almost commuting variety; Hilbert scheme Zoque, E.: On the variety of almost commuting nilpotent matrices, Transform. groups 15, 483-501 (2010)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; Durfee's conjecture; weighted homogeneous polynomials; Milnor number; multiplicity; genus; signature Némethi, A.: Dedekind sums and the signature of \(f(x,y)+z^N\). II. Selecta. Math. (N.S.) \textbf{5}, 161-179 (1999)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. compactification of moduli space of stable rank 2 vector bundles; space of reguli; Hilbert scheme; Grassmannian; geometric invariant theory; Poncelet quadric bundle
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. real fibered surface; quotient by complex conjugation; connected sum decomposition; four-manifold; topology of real algebraic curves on algebraic surfaces
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; curve counting; Göttsche formula; tautological integrals; nonreductive quotients; equivariant localisation; iterated residue Bérczi, G., Tautological integrals on curvilinear Hilbert schemes, Geom. Topol., 2897-2944, (2017)
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 group; resolution of singularities at cusps F.Hirzebruch, The Hilbert Modular group, resolution of the singularities at the cusps and related problems. Sém. Bourbaki, exp. 396 (1971).
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 deformation; obstruction
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. elongated hypocycloid; handkerchief singularity; Whitney umbrella; sphere inversion; real sextic surface; models of the real projective plane \(\mathbb RP^ 2\) in Euclidean 3-space; Steiner surface; Veronese surface; crosscap; Rheinhardt's heptahedron; immersions; explicit Boy surfaces Apéry, F., \textit{Models of the Real Projective Plane: Computer Graphics of Steiner and Boy Surfaces}, Braunschweig: Vieweg, 1987.
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; log-terminal singularity V.A. Alekseev and V.V. Nikulin: Classification of del Pezzo surfaces with log-terminal singularities of index \(\leq 2\), and involutions on \(K3\) surfaces , Soviet. Math. Dokl. 39 (1989), 507-511.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. ball quotient surface; logarithmic Chern numbers; Picard modular surfaces; Eisenstein lattice R. -P. Holzapfel, ''Chern numbers of algebraic surfaces-Hirzebruch's examples are Picard modular surfaces,'' Math. Nachr., vol. 126, pp. 255-273, 1986.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. non-commutative crepant resolution; dimer model; quiver with potential; Gorenstein toric singularity; mutations of dimer models
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient singularity; fundamental group Zhang D.-Q.: Automorphisms of finite order on rational surfaces with an appendix by I. Dolgachev. J. Algebra 238(2), 560--589 (2001)
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;K3 surfaces;Segre classes;tautological bundles
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 smooth connected curves; Brill-Noether theory; double covers
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; Grassmannian of pencils of conics; blow-up; 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. curve singularity; embedded resolution; topological zeta function; resolution graph [21] Veys W., Determination of the poles of the topological zeta function for curves, Manuscripta Math. \textbf{87} (1995), no. 4, 435-448.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. action of a finite group; orbifold Euler characteristic; string theory; Hilbert scheme of n points Hirzebruch F and Höfer T 1990 On the Euler number of an orbifold \textit{Math. Ann.} 286 255--60
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. blowing-up; graded Betti numbers; fat points; projective embeddings; resolution of the coordinate ring; embedded rational surface Geramita, A. V.; Gimigliano, A.; Pitteloud, Y., Graded Betti numbers of some embedded rational \textit{n}-folds, Math. Ann., 301, 363-380, (1995)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. automorphism group of curve; product of projective curves; Betti numbers; diagonal quotient surface; desingularizations; Chern numbers; Enriques-Kodaira classification Kani E., Schanz W. (1997). Diagonal quotient surfaces. Manuscripta Math. 93(1):67--108
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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 variety; positive characteristic; resolution of singularities; wild singularity; kangaroo point ,\textit{On the problem of resolution of singularities in positive characteristic (or: a proof we are still} \textit{waiting for)}, Bull. Amer. Math. Soc. (N.S.) 47 (2010), no. 1, 1--30.http://dx.doi.org/10. 1090/S0273-0979-09-01274-9.MR2566444
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; Castelnuovo-Mumford regularity; Borel-fixed ideal; marked basis Ceria, M.: JMBConst.lib. A library for Singular 4-0-2 which constructs J-Marked Schemes. Available at: http://www.singular.uni-kl.de/svn/trunk/Singular/LIB/JMSConst.lib (2012)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Azumaya algebras; Brauer group; class group; non rational singularity; rational surface
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; minimal free resolution; first infinitesimal neighborhood; minimal resolution conjecture; Horace method; Hilbert function Monica Idà, The minimal free resolution for the first infinitesimal neighborhoods of \? general points in the plane, J. Algebra 216 (1999), no. 2, 741 -- 753.
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; complete flags; curvilinear schemes
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; monomial schemes; Bridgeland stability; stable base locus
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. nested Hilbert scheme; projective surfaces; 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. surface singularity; infinitesimal deformations; irregularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Fano-Mori contractions; dimension 4; Hilbert scheme of degenerated rational curves; Fano varieties; rational connectivity Andreatta, M.; Wiśniewski, J. A., A view on contractions of higher dimensional varieties, Algebraic geometry, 62, 153-183, (1997)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. local Euler characteristic; instanton decay; surface singularity Gasparim, E.; Köppe, T.; Majumdar, P., Local holomorphic Euler characteristic and instanton decay, Pure Appl. Math. Q., 4, 161-179, (2008)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cyclic quotient singularities; Gorenstein singularities; crepant resolution; canonical singularities; terminal singularities; toric geometry Dais, D.; Haus, U. U.; Henk, M.: On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities. Results math. 33, 208-265 (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. deficiency module; liaison; locally Cohen-Macaulay equidimensional curve; Hartshorne-Rao module; Hilbert scheme; variety of module structures
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hurwitz genus formula; regular arrangement; arranged surface; Chern numbers; Euler numbers; quotient map; compact ball quotient; differential equations of classical hypergeometric functions of two variables
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. deformation; Hilbert scheme; obstruction space
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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. twisted Segre product; noncommutative graded isolated singularity; densely graded algebra; noncommutative quadric surface; maximal Cohen-Macaulay module
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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. grassmannian; nets of quadrics; Hilbert scheme of twisted cubic curves I. Vainsencher,A note on the Hilbert scheme of twisted cubics, Bol. S.B.M.18, \#1 (1987), 81-89.
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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. oil field; polynomial system solving; eigenvalue method; Buchberger-Möller algorithm; border basis; approximate algorithm; border basis scheme; Gröbner basis scheme; Hilbert scheme; \texttt{CoCoA} Kreuzer, M.; Poulisse, H.; Robbiano, L., From oil fields to Hilbert schemes, (Robbiano, L.; Abbott, J., Approximate Commutative Algebra, Texts and Monographs in Symbolic Computation, (2009), Springer-Verlag Wien), 1-54
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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 of linkage classes; Hilbert scheme; space curves Philippe Ellia, André Hirschowitz, and Emilia Mezzetti, On the number of irreducible components of the Hilbert scheme of smooth space curves, Internat. J. Math. 3 (1992), no. 6, 799 -- 807.
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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. invariant Hilbert scheme; Luna's étale slice theorem; smoothness criterion
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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. height pairing of special cycles; Shimura variety; special values of derivatives of Fourier coefficients; Siegel Eisenstein series; canonical model; Hilbert-Blumenthal surface Kudla, S. S.; Rapoport, M., \textit{arithmetic Hirzebruch-Zagier cycles}, J. reine angew. Math., 515, 155-244, (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. comonad; simplicial object; simplicial algebra; free simplicial resolution; cosimplicial 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; infinitesimal deformation; obstruction
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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; algebraic curves; linear series
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