Equivariant operational Chow rings of $T$-linear schemes
Documenta mathematica, Tome 20 (2015), pp. 401-432
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We study T-linear schemes, a class of objects that includes spherical and Schubert varieties. We provide a localization theorem for the equivariant Chow cohomology of these schemes that does not depend on resolution of singularities. Furthermore, we give an explicit presentation of the equivariant Chow cohomology of possibly singular complete spherical varieties admitting a smooth equivariant envelope (e.g., group embeddings).
DOI : 10.4171/dm/494
Classification : 14L30, 14M27, 20M32
Mots-clés : spherical varieties, intersection theory, Chow cohomology, Kronecker duality
@article{10_4171_dm_494,
     author = {Richard P. Gonzales},
     title = {Equivariant operational {Chow} rings of $T$-linear schemes},
     journal = {Documenta mathematica},
     pages = {401--432},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/494},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/494/}
}
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Richard P. Gonzales. Equivariant operational Chow rings of $T$-linear schemes. Documenta mathematica, Tome 20 (2015), pp. 401-432. doi: 10.4171/dm/494

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