LEHN’S FORMULA IN CHOW AND CONJECTURES OF BEAUVILLE AND VOISIN
Name
1904.05262.pdf
Description
Submitted version
Size
489.15 KB
Format
Adobe PDF
Checksum (MD5)
54809c1b619d71e5f436a6b8dde82009
Author(s)
Maulik, Davesh
Neguţ, Andrei
Date Issued
2020
Journal
Journal of the Institute of Mathematics of Jussieu
Publisher
Cambridge University Press (CUP)
Version
Original manuscript
Abstract
© The Author(s) 2020. Published by Cambridge University Press. The Beauville-Voisin conjecture for a hyperkähler manifold states that the subring of the Chow ring generated by divisor classes and Chern characters of the tangent bundle injects into the cohomology ring of. We prove a weak version of this conjecture when is the Hilbert scheme of points on a K3 surface for the subring generated by divisor classes and tautological classes. This in particular implies the weak splitting conjecture of Beauville for these geometries. In the process, we extend Lehn's formula and the Li-Qin-Wang algebra action from cohomology to Chow groups for the Hilbert scheme of an arbitrary smooth projective surface.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/S1474748020000377
