2012/07/14 by Yves André, André, Yves
Computer Science · Mathematics · #12H25 #14F30 #14F40 #18F20 #32S40 #54B40 #54E05 #54E15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1207.3380
openalex publication_date 2012/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.