Poincaré duality in equivariant intersection theory
We study the Poincaré duality map from equivariant Chow cohomology to equivariant Chow groups in the case of torus actions on complete, possibly singular, varieties with isolated fixed points. Our main results yield criteria for the Poincaré duality map to become an isomorphism in this setting. The...
| Autor Principal: | Gonzales Vilcarromero, Richard Paul |
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| Formato: | Artículo |
| Idioma: | spa |
| Publicado: |
Pontificia Universidad Católica del Perú
2014
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| Materias: | |
| Acceso en línea: |
http://revistas.pucp.edu.pe/index.php/promathematica/article/view/11235/11747 |
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| Sumario: |
We study the Poincaré duality map from equivariant Chow cohomology to equivariant Chow groups in the case of torus actions on complete, possibly singular, varieties with isolated fixed points. Our main results yield criteria for the Poincaré duality map to become an isomorphism in this setting. The methods rely on the localization theorem for equivariant Chow cohomology and the notion of algebraic rational cell. We apply our results to complete spherical varieties and their generalizations. |
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