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arXiv · 1207.0276

Zariski cohomology in second order arithmetic

Colin McLarty
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Abstract

The cohomology of coherent sheaves and sheaves of Abelian groups on Noetherian schemes are interpreted in second order arithmetic by means of a finiteness theorem. This finiteness theorem provably fails for the etale topology even on Noetherian schemes.

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Colin McLarty. 2012-07-25. Zariski cohomology in second order arithmetic. https://arxiv.org/abs/1207.0276

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