The movable fan of the Horrocks-Mumford quintic
M. J. Fryers
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.
Create a lesson
Related papers
Classification of Projective Models of K3-surfaces
Çisem Güneş Aktaş
Generalizing Green's Syzygy Theorems to Symmetric Products of Curves
Wenbo Niu, Peter Yi Wei
Logarithmic Kunz and Radu--André Theorems
Ryoma Takeuchi
Mixed Hodge structure in the cohomology of moment-angle complexes
Nikita Andrusov
Stein degree over fields of characteristic zero
Caucher Birkar, Santai Qu
The moduli space of cubic surfaces and its orbifold fundamental group
Daniel Allcock, Tathagata Basak, Eduard Looijenga