English

The movable fan of the Horrocks-Mumford quintic

Algebraic Geometry 2007-05-23 v1

Abstract

This paper explores the birational geometry of a general Horrocks-Mumford quintic threefold, describing the set of all minimal models up to marked isomorphism, the movable fan (the way in which the nef cones of all these models are arranged to form the movable cone), and the birational automorphism group. There are infinitely many models up to marked isomorphism, falling into just eight (unmarked-) isomorphism classes.

Keywords

Cite

@article{arxiv.math/0102055,
  title  = {The movable fan of the Horrocks-Mumford quintic},
  author = {M. J. Fryers},
  journal= {arXiv preprint arXiv:math/0102055},
  year   = {2007}
}

Comments

AMS Latex, 20 pages, 10 figures