Higher Dimensional Elliptic Fibrations and Zariski Decompositions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2019
- DOI:
- 10.48550/arXiv.1904.02779
- arXiv:
- arXiv:1904.02779
- Bibcode:
- 2019arXiv190402779G
- Keywords:
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- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory
- E-Print:
- 16 pages