English

Generalized Minkowski weights and Chow rings of T-varieties

Algebraic Geometry 2024-04-02 v2

Abstract

We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete , \Q\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.

Keywords

Cite

@article{arxiv.2202.03088,
  title  = {Generalized Minkowski weights and Chow rings of T-varieties},
  author = {Ana María Botero},
  journal= {arXiv preprint arXiv:2202.03088},
  year   = {2024}
}

Comments

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