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- W2949388052 abstract "For certain tame abelian covers of arithmetic surfaces X/Y we obtain striking formulas, involving a quadratic form derived from intersection numbers, for the equivariant Euler characteristics of both the canonical sheaf !X/Y and also its square root !1/2 X/Y . These formulas allow us us to carry out explicit calculations; in particular, we are able to exhibit examples where these two Euler characteristics and that of the the structure sheaf of X are all different and non-trivial. Our results are obtained by using resolvent techniques together with the local Riemann-Roch approach developed in [CPT]." @default.
- W2949388052 created "2019-06-27" @default.
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- W2949388052 date "2010-09-02" @default.
- W2949388052 modified "2023-09-23" @default.
- W2949388052 title "Equivariant Euler characteristics and sheaf resolvents" @default.
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- W2949388052 doi "https://doi.org/10.48550/arxiv.1009.0363" @default.
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