Counting Rational Curves on K3 Surfaces With Finite Group Actions

Göttsche gave a formula for the dimension of the cohomology of Hilbert schemes of points on a smooth projective surface S. When S admits an action by a finite group G, we describe the action of G on the Hodge structure. In the case that S is a K3 surface, each element of G gives a trace on Σn=0∞ Σi...

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Bibliographic Details
Main Author: Zhan, S. (Author)
Format: Article
Language:English
Published: Oxford University Press 2022
Online Access:View Fulltext in Publisher