Uniform sheaves and differential equations
Algebraic Geometry
2012-07-17 v1
Abstract
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 -adic situation (in particular, an analog of real blow-ups) from this uniform viewpoint.
Keywords
Cite
@article{arxiv.1207.3380,
title = {Uniform sheaves and differential equations},
author = {Yves André},
journal= {arXiv preprint arXiv:1207.3380},
year = {2012}
}