Simon Kapfer
University of Poitiers
6 Papers
10 Citations
Simon Kapfer is an academic researcher from University of Poitiers. The author has contributed to research in topics: Cohomology & Hilbert scheme. The author has an hindex of 3, co-authored 6 publications.
Chat about Author
Papers
Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces
TL;DR: In this article, the authors study cup products in integral cohomology of the Hilbert scheme of $n$ points on a K3 surface and present a computer program for this purpose, which deals with the question of which classes can be represented by products of lower degrees.
•Posted Content
Integral cohomology of the Generalized Kummer fourfold
Simon Kapfer,Grégoire Menet +1 more
TL;DR: In this article, the integral cohomology of the Generalized Kummer with singularities is described, and the Beauville-Bogomolov form of this new variety is calculated using tools developed by Hassett and Tschinkel.
3
Symmetric Powers of Symmetric Bilinear Forms, Homogeneous Orthogonal Polynomials on the Sphere and an Application to Compact Hyperk\"ahler Manifolds
TL;DR: In this paper, the authors studied the Beauville-Fujiki relation for a compact Hyperkahler manifold and constructed a basis of homogeneous polynomials that are orthogonal when integrated over the unit sphere.
3
Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces
TL;DR: In this paper, the authors study cup products in integral cohomology of the Hilbert scheme of $n$ points on a K3 surface and present a computer program for this purpose, which deals with the question of which classes can be represented by products of lower degrees.
3
Symmetric powers of symmetric bilinear forms, homogeneous orthogonal polynomials on the sphere and an application to compact Hyperkähler manifolds
TL;DR: In this paper, the authors studied the Beauville-Fujiki relation for a compact Hyperkahler manifold X of dimension 2k and constructed a basis of homogeneous polynomials that are orthogonal when integrated over the unit sphere and equivalently over ℝd+1 with a Gaussian kernel.
2