Geodesic
Generalized Minkowski weights and Chow rings of $T$-varieties
Documenta mathematica, Tome 29 (2024) no. 4, pp. 831-861

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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 Minkowski 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.
DOI : 10.4171/dm/965
Classification : 14C25, 14C15, 14L30, 14M25, 14T90
Mots-clés : algebraic cycles, Chow groups, Torus actions, tropical cycles 
@article{10_4171_dm_965,
     author = {Ana Botero},
     title = {Generalized {Minkowski} weights and {Chow} rings of $T$-varieties},
     journal = {Documenta mathematica},
     pages = {831--861},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2024},
     doi = {10.4171/dm/965},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/965/}
}
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Ana Botero. Generalized Minkowski weights and Chow rings of $T$-varieties. Documenta mathematica, Tome 29 (2024) no. 4, pp. 831-861. doi: 10.4171/dm/965

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