Linear Toric Fibrations
Algebraic Geometry
2013-11-08 v1 Combinatorics
Abstract
These notes are based on three lectures given at the 2013 CIME/CIRM summer school. The purpose of this series of lectures is to introduce the notion of a toric fibration and to give its geometrical and combinatorial characterizations. Polarized toric varieties which are birationally equivalent to projective toric bundles are associated to a class of polytopes called Cayley polytopes. Their geometry and combinatorics have a fruitful interplay leading to fundamental insight in both directions. These notes will illustrate geometrical phenomena, in algebraic geometry and neighboring fields, which are characterized by a Cayley structure. Examples are projective duality of toric varieties and polyhedral adjunction theory.
Keywords
Cite
@article{arxiv.1311.1625,
title = {Linear Toric Fibrations},
author = {Sandra Di Rocco},
journal= {arXiv preprint arXiv:1311.1625},
year = {2013}
}