Uniform Sheaves and Differential Equations | Zendy

Yves André | Zendy

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Uniform Sheaves and Differential Equations

Author(s) -

Yves André

Publication year - 2012

Publication title -

rendiconti del seminario matematico della università di padova

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 24

eISSN - 0373-319X

pISSN - 0041-8994

DOI - 10.4171/rsmup/128-9

Subject(s) - mathematics , differential (mechanical device) , differential equation , mathematical analysis , physics , thermodynamics

Real blow-ups and more refined "zooms" play a key role in the analysis of singularities of complex-analytic differential modules. They do not change the underlying topology, but the uniform structure. This suggests to revisit the cohomology theory of differential modules with help of a suitable new notion of uniform sheaves based on the uniformity rather than the topology. We also investigate the $p$-adic situation (in particular, an analog of real blow-ups) from this uniform viewpoint.

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