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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. weighted dual intersection graph of the minimal resolution of a perfect surface singularity; Diophantine questions; partial fraction representations; continued fractions; Egyptian fractions Brenton, D.; Drucker, D., Perfect graphs and complex surface singularities with perfect local fundamental group, Tohoku Math. J., 41, 507-525, (1989)
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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; positive characteristic; wild quotient; desingularization; partial desingularization; toric geometry
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. standard determinantal ring; artinian determinantal ring; Hilbert scheme; glicci; ghost terms; minimal free resolution; deformation Kleppe, J.O.: Families of artinian and low dimensional determinantal rings. arXiv:1506.08087
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. McKay correspondance; cyclic two dimensional quotient singularity; Chern- classes of the vector bundles; resolution; reflexive module J. Wunram, Reflexive modules on cyclic quotient surface singularities, in \(Singularities, Representation of Algebras, and Vector Bundles\) (Springer, Berlin, 1987), pp. 221-231
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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. projective surface; Hilbert scheme; complex cobordism ring; Chern class Ellingsrud, G.; Göttsche, L.; Lehn, M., On the cobordism class of the Hilbert scheme of a surface, J. Algebr. Geom., 10, 81-100, (2001)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. unique quotient singular point; minimal resolution; logarithmic del Pezzo surface H. Kojima, ''Logarithmic del Pezzo surfaces of rang one with unique singular points,'' Japan. J. Math. (N. S.) 25(2), 343--375 (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. del Pezzo surface; Hilbert series; mirror symmetry; orbifold singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. hyperkähler manifold; abelian fibration; Hilbert scheme; \(K3\) surface Iliev, A; Ranestad, K, The abelian fibration on the Hilbert cube of a K3 surface of genus 9, Int. J. Math., 18, 1-26, (2007)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. toric surface; vector bundle; minimal resolution; moduli space; GIT quotient; toric varieties; equivariant sheaves Perling M.: Graded rings and equivariant sheaves on toric varieties. Math. Nachr. 263/264, 87--99 (2004)
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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 on a surface; obstruction theory; generating series of virtual Euler characteristics; tautological sheaf
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. affine cone; anticanonical divisor; cylinder; del Pezzo surface; du Val singularity; \(\mathbb G_{a}\)-action; minimal resolution; log canonical singularity; weak del Pezzo surface I. Cheltsov, J. Park and J. Won, Cylinders in del Pezzo surfaces, preprint (2015), .
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. weakly elliptic surface singularity; minimal good resolution; weighted dual graphs; Milnor number; signature Y. Xu AND S. S. T. YAU, The inequality \2pg - 4 for hypersurface weakly elliptic singularities, in Singularities 1986, Iowa (R. Randell, ed.), pp. 317-344, Contemporary Math. 90, Amer. Math. Soc, 1989.
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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 of arcs; Nash problem; quotient surface singularity; icosahedral singularity Pe Pereira, M., Nash problem for quotient surface singularities, J. lond. math. soc. (2), 87, 1, 177-203, (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. normal surface singularities; hyperplane sections; smoothing of curve singularity; Kulikov singularity; resolution graph; Gorenstein singularity Stevens, J.: Elliptic surface singularities and smoothings of curves. Math. Ann.267, 239-249 (1984)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hausdorff topology; moduli space; Hilbert scheme; Hilbert quotient
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert-Samuel function; resolution of singularities; rational singularity; Cohen-Macaulay ring
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(G\)-clusters; \(G\)-constellations; crepant resolution; Hilbert scheme A. Ishii, Y. Ito and Á. Nolla de Celis, On \(G/N\)-Hilb of \(N\)-Hilb, Kyoto J. Math. 53 (2013), no. 1, 91-130. MR3049308
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. hyperkähler variety; Calabi-Yau variety; arithmetic model; Brauer group; Artin's conjecture; \(K3\)-surface; abelian surface; Hilbert scheme of points; generalized Kummer variety; Hilbert modular surface
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. complex surface; Hilbert scheme; stratification; normal crossings; Poisson structure Ran, Z, Incidence stratifications on Hilbert schemes of smooth surfaces, and an application to Poisson structures, Int. J. Math., 27, 1650006, (2016)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Cohen-Macaulay modules; surface singularity; quotient singularity Burban, I., Drozd, Y. (2008). Maximal Cohen--Macaulay modules over surface singularities, trends in representation theory of algebras and related topics.EMS Ser. Congr. Rep., Eur. Math. Soc.Zürich, pp. 101--166.
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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. index of regularity; Hilbert function; plurigenera; number of; integral points; Newton polyhedra; resolution; complete; intersection singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Cox ring; resolution of singularities; quotient singularity; algorithm; toric variety; tropical variety
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 surface singularity; second Chern class; Riemann-Roch formula; Euler characteristic Wahl, J.: Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities. Math. Ann.295, 81--110 (1993)
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 surface singularity; affine toric variety; (versal) deformation of surface singularities; Artin component; monodromy covering
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. toric variety; fan; polytope; resolution of singularities; quotient space; cohomology; minimal model program; McKay correspondence; \(G\)-Hilbert scheme Cox, D.: Update on toric geometry. Sémin. congr. 6, 1-41 (2002)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution graph; surface singularity; weighted homogeneous; Milnor number; rational homology disc smoothing Wahl, J., On rational homology disk smoothings of valency 4 surface singularities, Geometry & Topology, 15, 1125-1156, (2011)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Lefschetz fibration; quotient surface singularity; symplectic filling
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. minimal resolution of the dual of a smoothable two dimensional; cusp singularity; anticanonical divisor on a rational surface; smoothability; versal deformation of the triangle singularity; minimal resolution of the dual of a smoothable two dimensional cusp singularity Friedman, R.; Pinkham, H., Smoothings of cusp singularities via triangle singularities, Compos. Math., 53, 303-324, (1984)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Chern numbers of logarithmic cotangent bundle; quotient surface singularities; minimal resolution; bound for number of rational double points Miyaoka Y.: The maximal number of quotient singularities on surfaces with given numerical invariants. Math. Ann. 268, 159--171 (1984)
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; minimal resolution; irreducible representation
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. representation space; moduli space; corepresentation; geometric invariant theory; Hilbert scheme; good quotient; fine moduli spaces Simpson, CT, Moduli of representations of the fundamental group of a smooth projective variety I, Inst. Hautes Études Sci. Publ. Math., 79, 47-129, (1994)
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; monomial curve singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. index of regularity; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity Marcel Morales, Resolution of quasihomogeneous singularities and plurigenera, Compositio Math. 64 (1987), no. 3, 311 -- 327.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(G\)-constellation; maximal resolution; 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. Milnor fiber; quotient surface singularity; symplectic filling
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. modification; survey; tangent hyperplanes; normal surface singularity; Milnor numbers; tangent cone; resolution of normal surface singularities
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quasihomogeneous normal surface singularity; resolution graph Runge, B.: Quasihomogeneous singularities. Math. ann 281, 295-313 (1988)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Jacobian; Hilbert scheme of points; period map; Torelli problem; Springer resolution; Langlands duality; perverse sheaves; Griffiths period domain; affine Lie algebras; variation of Hodge structure
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. good resolution of normal surface singularity [37] Wahl (J.).-- A characteristic number for links of surface singularities, J. Amer. Math. Soc., 3(3), p.~625-637 (1990). &MR~10 | &Zbl~0743.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. subscheme of quadric surface; determinantal zero-dimensional subscheme; graded Betti numbers; ideal of a reduced 0-dimensional scheme; Hilbert function S. Giuffrida, R. Maggioni, and A. Ragusa, Resolutions of generic points lying on a smooth quadric,Manuscripta Math. 91 (1996), 421--444.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic cycles; Chow ring; motives; Bloch-Beilinson filtration; hyperkähler variety; Lagrangian subvariety; constant cycle subvariety; (Hilbert scheme of) \(K3\) surface; Beauville's splitting property; multiplicative Chow-Künneth decomposition; spread of algebraic cycles
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 sheaves; cohomology; smooth quasiprojective surface Scala, L, Some remarks on tautological sheaves on Hilbert schemes of points on a surface, Geom. Dedicata, 139, 313-329, (2009)
0
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; loop algebras; resolution of quotient surface singularities. Maulik, D; Oblomkov, A, Donaldson-Thomas theory of \({\mathcal{A}}_n\times {\mathbb{P}}^1\), Compos. Math., 145, 1249-1276, (2009)
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 singularity; toric surface; qG-deformation
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; Hilbert scheme of a generic complete intersection; Grassmann variety Ein, L., \textit{subvarieties of generic complete intersections}, Invent. Math., 94, 163-169, (1988)
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; resolution of singularities; crepant resolution; Cox ring
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cohomological crepant resolution conjecture; Hilbert scheme of point; Symmetric product; Gromov-Witten invariants W K Cheong, Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms
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 a surface; vanishing theorem; Le Potier's strange duality conjecture; cohomology Danila, G, Sur la cohomologie d'un fibré tautologique sur le schéma de Hilbert d'une surface, J. Algebraic Geom., 10, 247-280, (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; Enriques surface; positive characteristic; lifting to characteristic zero; irreducible symplectic varieties
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient-cusp; universal Abelian cover; cusp singularity; group action; surface singularity; complete intersection Neumann, W.D., Wahl, J.: Universal abelian covers of quotient-cusps, Math. Ann. 326, 75--93 (2003)
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 surface singularities; triple section surface; target point; triple covering; inner double points; Durfee's conjecture; two- dimensional hypersurface singularities of multiplicity 3; Milnor number; simple elliptic singularity Némethi, A.: Dedekind sums and the signature of \(f(x,y)+z^N\). Selecta. Math. (N.S.) \textbf{4}(2), 361-376 (1998)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Siegel modular group; resolution of cusps; rational Hilbert modular surfaces; canonical maps; modular curves; intersection theory; moduli spaces; abelian varieties with real multiplication; Kummer surface Friedrich Hirzebruch and Gerard van der Geer, Lectures on Hilbert modular surfaces, Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 77, Presses de l'Université de Montréal, Montreal, Que., 1981. Based on notes taken by W. Hausmann and F. J. Koll.
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; compactification; Bott's formula; surface of degree \(d\)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. GIT; geometric invariant theory; degeneration; Hilbert scheme; expanded degenerations; Donaldson-Thomas invariants; Pandharipande-Thomas stable pairs; $K3$ surfaces; Hilbert scheme of points; Li-Wu stack; bipartite graph; smooth support; numerical support; GIT quotient; stack quotient; Deligne-Mumford stack
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; \(K 3\) surface; Fano threefold Nasu, H.: Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface. Preprint. arXiv:1601.07301
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. rational surface; Donaldson invariants; moduli space; vector bundle; Hilbert scheme; Hulsbergen sheaf; Darboux configuration Ellingsrud, G.; Le Potier, J.; Strømme, S. A.: Some Donaldson invariants of CP2, Lect. notes pure appl. Math. 179, 33-38 (1996)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. first Chern class; McKay correspondence for rational double points; quotient surface singularity; reflexive module Jürgen Wunram, Reflexive modules on quotient surface singularities, Math. Ann. 279 (1988), no. 4, 583 -- 598.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. monodromy conjecture; topological zeta function; monodromy; surface singularity; plane curve singularity; resolution graph; semigroup condition; splice diagram; splice decomposition Némethi, A.; Veys, W., Generalized monodromy conjecture in dimension two, Geom. topol., 16, 1, 155-217, (2012)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. unimodal complete intersection; spectrum of a hypersurface singularity; resolution of curves; surface singularities; toric varieties
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Zariski pairs; embedded Q-resolution; multiplier ideals; quotient singularity; Alexander polynomials; weighted projective plane; cyclic branched covering; normal surfaces; adjunction ideals; weighted blowup
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. plane curve singularity; Hilbert scheme; framed stable pairs; HOMFLY polynomial; wall crossing Maulik, D., Stable pairs and the HOMFLY polynomial, Invent. Math., 204, 3, 787-831, (2016)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(G\)-invariant subschemes; crepant resolution; Hilbert scheme Gomi, Y., Nakamura, I., Shinoda, K.: Hilbert schemes of G-orbits in dimension three. Asian J. Math. 4(1), 51--70 (2000; Kodaira's issue)
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 of stable vector bundles; nonempty moduli spaces; K3 surface; Hilbert scheme Nakashima, T., Moduli of stable rank two bundles with ample \(c_ 1\) on \(K3\) surfaces, Arch. Math. (Basel), 61 (1993), 100-104.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. equianalytic singularity; flat families of embedded reduced curves; number of singular points; Hilbert scheme; singularities of given analytic type Greuel G.-M., Lossen C.,Equianalytic and equisingular families of curves on surfaces, Manuscripta Math.,91 (1996), 323--342.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. topology of surface singularities; singularity on a complex analytic surface; cyclic quotient singularities Gurjar, R.V.: Remarks on the topology of surface singularities and applications. with an appendix by K. Paranjape. In: Proceedings of the Indo-French Conference on Geometry (Bombay, 1989), pp. 95-102. Hindustan Book Agency, Delhi (1993)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. McKay correspondence; minimal desingularization; rational double point; indecomposable reflexive modules; first Chern class; surface singularity; quotient singularities Hélène Esnault, Reflexive modules on quotient surface singularities, J. Reine Angew. Math. 362 (1985), 63 -- 71.
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; Lazarsfeld-Rao property; Hilbert scheme; space curves; genus; linkage; biliaisons HARTSHORNE R., MARTIN-DESCHAMPS M., PERRIN D., ''Construction de familles minimales de courbes gauches'', (to appear) Pacific J. of Math.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. product of curves; cyclic quotient singularity; rational singularity; wild; intersection matrix; resolution graph; fundamental cycle Lorenzini, D.: Wild quotients of products of curves (2012, preprint)
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; rational singularity; minimal resolution Campillo, A.; Delgado, F.; Gusein-Zade, SM, Poincaré series of a rational surface singularity, Invent. Math., 155, 41-53, (2004)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Milnor fiber; quotient surface singularity; symplectic filling Park, H., Park, J., Shin, D., Urzúa, G.: Milnor fibers and symplectic fillings of quotient surface singularities. arXiv:1507.06756
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. projective plane curves; plane curve singularities; nodes; cusps; homogeneous zero-dimensional singularities; fat points; infinitely near points; cluster schemes, constellations; Noether's formula, Newton diagrams; conductor scheme; normalization; Hilbert functor; global deformation theory; equisingular families; equisingular deformations with section; simultaneous deformations; Hilbert-Samuel polynomial; multiplicity; polar curves; dual curves; Hesse problem; Gordan-Noether theorem; joint versal deformations; resolution; blowing up; patchworking construction; hypersurfaces; Horace method; Castelnuovo function; vanishing criteria; toric geometry; tropical geometry
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. smooth curve on a smooth surface; Hilbert scheme; nondegenerate curves in the projective 4-space DOI: 10.1515/crll.1996.475.77
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. intersection homology; cohomoloy of quotient variety; resolution of singularity Kirwan, F.: Rational intersection homology of quotient varieties. Invent. Math. 86, 471--505 (1986)
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; type of singularity Russell, H.: Counting singular plane curves via Hilbert schemes. Adv. math. 179, No. 1, 38-58 (2003)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. moduli scheme; moduli stack; quotient stack; representability; algebraic spaces; stacks; Exal; coherent functors; algebraicity; Picard scheme; Hilbert scheme; excellent scheme; locally of finite presentation; goupoid; fibred in groupoids; algebraic stack; preserves limits; weakly effective; fppf topology; deformations; \(\mathbf{Art}^{\text{triv}}\)-homogeneous; bounded aumorphisms and deformations; constructible automorphisms and deformations; Zariski local automorphisms and deformations; constructible obstructions; Zariski local obstructions; formal versality; openness of formal versality; étale stack; homogeneity; limit preservation; Exal; effectivity
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 on a surface; Nakajima operators; Chern character operator; cohomology ring Wei-Ping Li, Zhenbo Qin, and Weiqiang Wang, Hilbert schemes and \? algebras, Int. Math. Res. Not. 27 (2002), 1427 -- 1456.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. K3 surface; punctual Hilbert scheme; involution; rational points Ekaterina Amerik, On an automorphism of Hilb[2] of certain \?3 surfaces, Proc. Edinb. Math. Soc. (2) 54 (2011), no. 1, 1 -- 7.
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 surface; semistability; direct image
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Chow motive; hyperKähler variety; \(K3\) surface; Hilbert scheme; cycle --------, On the motive of some hyperkähler varieties, J. reine angew. Math. 725 (2017), 235--247.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution property; locally free sheaf; vector bundle; generating family; tensor generator; algebraic space; algebraic stack; quotient stack; AF-scheme
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. hypersurface singularities; minimal resolution graph; cyclic quotient singularity; multiplicity
0
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; cubic surface; generic curve; genus; degree; rational points
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. symplectic resolution; symplectic smoothing; symplectic reflection algebra; Poisson variety; quotient singularity; McKay correspondence Bellamy, G.; Schedler, T., On the (non)existence of symplectic resolutions of linear quotients, Math. Res. Lett., 23, 1537-1564, (2016)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic cycle; algebraic equivalence; Chow variety; connectivity theorem; Hilbert scheme; homological equivalence; projective variety; singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. locally free resolution of ideals; cohomology groups of ideal sheaf; degree; unirational varieties; degeneracy loci; general bundle morphisms; Hilbert scheme; elliptic normal scrolls Dolores Bazan and Emilia Mezzetti, On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \Bbb P\(^{5}\), Geom. Dedicata 86 (2001), no. 1-3, 191 -- 204.
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; discriminant of semi-universal; deformation; normal surface singularity; Artin component; rational singularities; Weyl groups
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. model of a curve; ordinary curve; cyclic quotient singularity; wild ramification; arithmetical tree; resolution graph; component group Néron model D. Lorenzini, Wild models of curves. Algebra Number Theory 8(2), 331-367 (2014)
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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. absolutely isolated surface singularity; canonical resolution; Z.C.R.; Gorenstein elliptic singularities; normal surface singularities Tomari, Masataka, A survey on normal surface singularities, (Algebraic geometry and topology of degenerations, singularities and coverings, Tagajo, March, (1996)), (in Japanese)
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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; Hilbert scheme of points; integral cohomology; cup product 8. S. Kapfer, Computing cup-products in integral cohomology of Hilbert schemes of points on K3 surfaces, to appear in LMS J. Comput. Math.
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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. normal surface singularity; resolution graph; rational homology sphere; elliptic singularities; elliptic sequence; Seiberg-Witten invariant; surgery formula; Poincaré series; geometric genus; periodic constant
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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 model program; quotient surface singularity; rational blow-down; symplectic antiflip; symplectic filling
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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. Gröbner fan; G-Hilbert scheme; toric 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. quotient singularity; symplectic resolution; Cox ring; symplectic manifold Donten-Bury, M.; Wiśniewski, J. A.: On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32. (2014)
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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. integral scheme; field of positive characteristic; canonically polarized surface; quotient of an integral scheme by a nontrivial action; adjunction formula; Picard 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. Koszul cohomology; syzygy scheme; projective curve; Clifford index; gonality; \(K3\) surface; punctual Hilbert scheme M. \textsc{Aprodu} and J. \textsc{Nagel}, \textit{Koszul Cohomology and Algebraic Geometry}, University Lectures Series, vol.~52, AMS, Providence, 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. K3 surface; moduli space; rank-2 vector bundles; Hilbert scheme; elliptic K3 surface; birationality
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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. linearly normal curve; families of curves lying on a smooth cubic surface; reducibility of Hilbert scheme Dolcetti, A; Pareschi, G, On linearly normal space curves, Math. Z., 198, 73-82, (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 of points; projective surface; symmetric group; Donaldson determinant bundle Gentiana Danila, Sections de la puissance tensorielle du fibré tautologique sur le schéma de Hilbert des points d'une surface, Bull. Lond. Math. Soc. 39 (2007), no. 2, 311 -- 316 (French, with English summary).
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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. singularity of space curves; postulation deficiency; liaison; cohomology of the normal bundles of the linked curves; Hilbert scheme Ph. Ellia and M. Fiorentini : Défaut de postulation et singularités du Schéma de Hilbert . Annali Univ. di Ferrara 30 (1984) 185-198.
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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. complex normal surface singularity equations; topology; link; resolution J. Wahl, Topology, geometry, and equations of normal surface singularities, in: Singularities and Computer Algebra, London Mathematical Society Lecture Note Series Vol. 324 (Cambridge University Press, Cambridge, 2006), pp. 351-371.
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