Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces-Reference-Cited by-同舟云学术

Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

Published:2009-08-11 Issue:1 Volume:9 Page:125-153
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Hassett Brendan,Tschinkel Yuri

Abstract

AbstractWe study the birational geometry of irreducible holomorphic symplectic varieties arising as varieties of lines of general cubic fourfolds containing a cubic scroll. We compute the ample and moving cones, and exhibit a birational automorphism of infinite order explaining the chamber decomposition of the moving cone.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference40 articles.

1. 17. Fryers M. J. , The movable fan of the Horrocks–Mumford quintic, preprint (2001; available at http://arXiv.org/abs/math/0102055).

2. Lagrangian Submanifolds in Hyperkähler Manifolds, Legendre Transformation

3. Moving and ample cones of holomorphic symplectic fourfolds;Hassett;Geom. Funct. Analysis

4. Foundations of the theory of Fano schemes;Altman;Compositio Math.,1977

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dichotomous point counts over finite fields;Journal of Number Theory;2023-09

2. Cubic fourfolds with an involution;Transactions of the American Mathematical Society;2022-12-01

3. Hyper-Kähler Manifolds;Milan Journal of Mathematics;2022-11-14

4. Varieties of planes on intersections of three quadrics;European Journal of Mathematics;2020-09-04

5. Finiteness of Klein actions and real structures on compact hyperkähler manifolds;Mathematische Annalen;2019-08-02