Nearby in the stack

On the Gorenstein locus of some punctual Hilbert schemes · arXivDesk

0803.1135Mar 7, 2008The exposition has been improved and some of the main results have been extended to degree $d\le 9$

On the Gorenstein locus of some punctual Hilbert schemes

Gianfranco Casnati, Roberto Notari

Algebraic Geometry Commutative Algebra

Abstract

Let $k$ be an algebraically closed field and let _d^G(N) be the open locus of the Hilbert scheme _d(N) corresponding to Gorenstein subschemes. We prove that _d^G(N) is irreducible for $d\le9$ , we characterize geometrically its singularities for $d\le 8$ and we give some results about them when $d=9$

Briefing

What this paper is actually doing

Sign in and connect a model key to generate a briefing for this paper.

Claims

Methods

Limitations

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Sign in to ask questions about this paper.

Nearby in the stack

which give some evidence to a conjecture on the nature of the singular points in

_d^G(N)

.

1003.5569

over 16 years ago

Irreducibility of the Gorenstein locus of the punctual Hilbert scheme of degree 10

Gianfranco Casnati, Roberto Notari

Algebraic Geometry

2206.03732

about 4 years ago

New elementary components of the Gorenstein locus of the Hilbert scheme of points

Robert Szafarczyk

Algebraic Geometry Commutative Algebra

1111.2007

almost 15 years ago

The locus of points of the Hilbert scheme with bounded regularity

Edoardo Ballico, Cristina Bertone, Margherita Roggero

Algebraic Geometry

1109.4991

almost 15 years ago

The punctual Hilbert schemes for the curve singularities of types $E_6$ and $E_8$

2509.17939

11 months ago

On maximality of involutions of hyper-Kähler manifolds and punctual Hilbert schemes of surfaces

Simone Billi, Lie Fu, Annalisa Grossi +1

Algebraic Geometry

2608.14545

3 days ago

Compressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line

Xander Faber, Niladri Patra

Algebraic Geometry Number Theory

Yoshiki Sōma, Masahiro Watari

Algebraic Geometry