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- W2950792530 abstract "In this article, we show that if $X$ is an excellent surface with rational singularities, the constant sheaf $mathbb{Q}_{ell}$ is a dualizing complex. In coefficient $mathbb{Z}_{ell}$, we also prove that the obstruction for $mathbb{Z}_{ell}$ to become a dualizing complex lying on the divisor class groups at singular points. As applications, we study the perverse sheaves and the weights of $ell$-adic cohomology groups on such surfaces." @default.
- W2950792530 created "2019-06-27" @default.
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- W2950792530 date "2008-08-30" @default.
- W2950792530 modified "2023-09-27" @default.
- W2950792530 title "The $ell$-adic Dualizing Complex on an Excellent Surface with Rational Singularities" @default.
- W2950792530 hasPublicationYear "2008" @default.
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