arXiv subjects

Jean-Pierre Schneiders

Publications and source records attributed to Jean-Pierre Schneiders.

2 recordsLinked to original sources

arXiv2018

Holomorphic cohomological convolution and Hadamard product

In this article, we explain the link between Pohlen's extended Hadamard product and the holomorphic cohomological convolution on $\mathbb{C}^*$. For this purpose, we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.

math.CV↗

arXiv2013

Derived category of filtered objects

For an abelian category C and a filtrant preordered set Lambda, we prove that the derived category of the quasi-abelian category of filtered objects in C indexed by Lambda is equivalent to the derived category of the abelian category of functors from Lambda to C. We apply this result to the study of the category of filtered modules over a filtered ring in a tensor category.

math.AG↗