Generalized Minkowski weights and Chow rings of T-varieties

Abstract

We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete , $\Q$-factorial, rational T-variety of complexity one in terms of so called generalized Minkowsky weights in the contraction-free case. We also describe the intersection product with Cartier invariant divisors in terms of the combinatorial data. In particular this provides a new way of computing top intersection numbers of invariant Cartier divisors combinatorially.

Updated version. We thank an anonymous referee for their insightful comments. Some statements have been slightly modified. To be accepted in Doc. Math