Can I read Cox rings and combinatorics II on EtoBox?

Cox rings and combinatorics II by Hausen, Juergen is a scholarly article available to read on EtoBox.

What is Cox rings and combinatorics II about?

We study varieties with a finitely generated Cox ring. In a first part, we generalize a combinatorial approach developed in earlier work for varieties with a torsion free divisor class group to the case of torsion. Then we turn to modifications, e.g., blow ups, and the question how the Cox ring changes under such maps. We answer this question for a certain class of modifications induced from modifications of ambient toric varieties. Moreover, we show that every variety with finitely generated Cox ring can be explicitly constructed in a finite series of toric ambient modifications from a combinatorially minimal one.

Author

Hausen, Juergen

Published

2008

Language

EN