WebHILBERT SCHEMES OF ABELIAN GROUP ORBITS IKU NAKAMURA To the memory of Professor Nobuo Sasakura Abstract. For G a finite abelian subgroup of SL(3,k) we construct a crepant resolution of the ... WebMay 15, 2024 · Let G be a finite subgroup of SL (n,C), then the quotient C^n/G has a Gorenstein canonical singularity. Bridgeland-King-Reid proved that the G-Hilbert scheme Hilb^G (C^3) gives a crepant...
G-invariant Hilbert schemes on Abelian surfaces and enumerative ...
WebHILBERT SCHEMES OF ABELIAN GROUP ORBITS IKU NAKAMURA To the memory of Professor Nobuo Sasakura Abstract. For G a finite abelian subgroup of SL(3,k) we … WebHilbert scheme (or the Hilbert scheme of G-orbits) HilbG(Ar) is introduced by Ito and Nakamura [11]. The G-Hilbert scheme is the main component of the scheme parameterizing all G-invariant zero-dimensional subschemes Z of Ar of length m:= jGj for which H0(Z;OZ) is the regular representation of G. Nakamura [12] proved that for a finite abelian ... high speed video capture
Punctual Quot scheme on cusp via Gröbner stratification
Web1 The Hilbert scheme of points as a set There are several objects in mathematics which have the magical property of appearing in various areas and which are, therefore, of the greatest interest for mathematicians. One of those, of which we shall discuss in these notes, is the Hilbert scheme of points on a surface. WebApr 18, 2024 · The Quot scheme in question parametrizes quotient sheaves of O_X^d of length n supported at p, where p is a cusp singularity on a curve X; the Hilbert scheme is … WebApr 18, 2024 · The Quot scheme in question parametrizes quotient sheaves of O_X^d of length n supported at p, where p is a cusp singularity on a curve X; the Hilbert scheme is the special case d=1. Our method is based on a stratification given by Gröbner bases for power series ring (a.k.a. standard bases). how many days since 2011