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.
Grassi, A., Wen David (2022). Higher Dimensional Elliptic Fibrations and Zariski Decompositions. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 24(04), 2150024-1-2150024-25 [10.1142/S0219199721500243].
Higher Dimensional Elliptic Fibrations and Zariski Decompositions
Grassi, Antonella;
2022
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.| File | Dimensione | Formato | |
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1904.02779.pdf
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