Which quartic double solids are rational?-Reference-Cited by-同舟云学术

Which quartic double solids are rational?

Published:2018-12-07 Issue:2 Volume:28 Page:201-243
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Cheltsov Ivan,Przyjalkowski Victor,Shramov Constantin

Abstract

We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational and nodal quartic double solids with at least eleven singular points are rational.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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