Higher Dimensional Elliptic Fibrations and Zariski Decompositions
Algebraic Geometry
2021-02-24 v5 High Energy Physics - Theory
Abstract
We study the existence and properties of birationally equivalent models for elliptically fibered varieties. In particular these have either the structure of Mori fiber spaces or, assuming some standard conjectures, minimal models with a Zariski decomposition compatible with the elliptic fibration. We prove relations between the birational invariants of the elliptically fibered variety, the base of the fibration and of its Jacobian.
Keywords
Cite
@article{arxiv.1904.02779,
title = {Higher Dimensional Elliptic Fibrations and Zariski Decompositions},
author = {Antonella Grassi and David Wen},
journal= {arXiv preprint arXiv:1904.02779},
year = {2021}
}
Comments
16 pages; Accepted for publication in Communications in Contemporary Mathematics