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The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture

Published online by Cambridge University Press:  08 June 2020

John Kopper*
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA16802

Abstract

We compute the nef cone of the Hilbert scheme of points on a general rational elliptic surface. As a consequence of our computation, we show that the Morrison–Kawamata cone conjecture holds for these nef cones.

Type
Article
Copyright
© Canadian Mathematical Society 2020

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Footnotes

During the preparation of this article, the author was partially supported by NSF RTG grant DMS-1246844.

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