The movable fan of the Horrocks-Mumford quintic

Details The movable fan of the Horrocks-Mumford quintic The movable fan of the Horrocks-Mumford quintic

2001-02-07

arxiv.org/abs/math/0102055v1

Mathematics

Algebraic Geometry

AMS Latex, 20 pages, 10 figures

Scientific paper

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.

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