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Arithmetic homology and an integral version of Kato's conjecture
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Thomas Geisser
Published/Copyright:
May 31, 2010
Summary
We define an integral Borel-Moore homology theory over finite fields, called arithmetic homology, and an integral version of Kato homology. Both types of groups are expected to be finitely generated, and sit in a long exact sequence with higher Chow groups of zero-cycles.
Received: 2007-04-17
Published Online: 2010-05-31
Published in Print: 2010-July
© Walter de Gruyter Berlin · New York 2010
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- Small groups of finite Morley rank with involutions
- Genus bounds for minimal surfaces arising from min-max constructions
- Iterative q-difference Galois theory
- Conic-connected manifolds
- A visible factor of the special L-value
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Articles in the same Issue
- Arithmetic homology and an integral version of Kato's conjecture
- Small groups of finite Morley rank with involutions
- Genus bounds for minimal surfaces arising from min-max constructions
- Iterative q-difference Galois theory
- Conic-connected manifolds
- A visible factor of the special L-value
- Modular Galois covers associated to symplectic resolutions of singularities
- Homeomorphisms in the Sobolev space W1,n–1
