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Equivariant Riemann-Roch theorems for curves over perfect fields

Equivariant Riemann-Roch theorems for curves over perfect fields
Equivariant Riemann-Roch theorems for curves over perfect fields
We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q. We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank.
0025-2611
89-105
Fischbacher-Weitz, Helena B.
8cf9dd19-8bad-4d46-8fd1-d7be8ac7026f
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Fischbacher-Weitz, Helena B.
8cf9dd19-8bad-4d46-8fd1-d7be8ac7026f
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Fischbacher-Weitz, Helena B. and Koeck, Bernhard (2009) Equivariant Riemann-Roch theorems for curves over perfect fields. Manuscripta Mathematica, 128 (1), 89-105. (doi:10.1007/s00229-008-0218-3).

Record type: Article

Abstract

We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q. We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank.

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Published date: January 2009
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 43032
URI: http://eprints.soton.ac.uk/id/eprint/43032
DOI: doi:10.1007/s00229-008-0218-3
ISSN: 0025-2611
PURE UUID: 7c485d27-b741-4b59-906c-b8f0958ecc83
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

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Date deposited: 10 Jan 2007
Last modified: 16 Mar 2024 03:22

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Contributors

Author: Helena B. Fischbacher-Weitz
Author: Bernhard Koeck ORCID iD

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