Birational Geometry of Toric Varieties

Details Birational Geometry of Toric Varieties Birational Geometry of Toric Varieties

2012-04-17

arxiv.org/abs/1204.3883v1

Mathematics

Algebraic Geometry

Ph.D. Thesis

Scientific paper

Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes. For each polarized toric variety (X,L) we have associated a polytope P. In this thesis we use this correspondence to study birational geometry for toric varieties. To this end, we address subjects such as Minimal Model Program, Mori fiber spaces, and chamber structures on the cone of e?ective divisors. We translate some results from these theories to the combinatorics of polytopes and use them to get structure theorems on space of polytopes. In particular, we treat toric varieties known as 2-Fano, and we classify them in low dimensions.

Affiliated with

Also associated with

No associations

Rating

Birational Geometry of Toric Varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Birational Geometry of Toric Varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birational Geometry of Toric Varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290710