2 citations · 4 across the 4 of their papers we have counts for
7 papers
A property of the interleaving distance for sheaves
Francois Petit, Pierre Schapira, Lukas Waas
Let be a real analytic manifold endowed with a distance satisfying suitable properties and let be a field. In [PS20], the authors construct a pseudo-distance on th…
Integral representation theorems for DQ-modules
David Gepner, Francois Petit
We identify the type of -linear structure inherent in the -categories which arise in the theory of Deformation Quantization modules. Using this structu…
Ephemeral persistence modules and distance comparison
Nicolas Berkouk, Francois Petit
We provide a definition of ephemeral multi-persistent modules and prove that the quotient of persistent modules by the ephemeral ones is equivalent to the category of -sheaves.…
Holomorphic Frobenius actions for DQ-modules
Francois Petit
Given a complex manifold endowed with a -action and a DQ-algebra equipped with a compatible holomorphic Frobenius action (F-action), we prove that if the $\mathb…
Tempered subanalytic topology on algebraic varieties
Francois Petit
On a smooth algebraic variety over , we build the tempered subanalytic and Stein tempered subanalytic sites. We construct the sheaf of holomorphic functions tempered at…
Fourier-Mukai transform in the quantized setting
Francois Petit
We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associa…