35 citations · 190 across the 24 of their papers we have counts for
24 papers
A Cousin Complex for the Quantum Projective Space
Kobi Kremnizer, David Ssevviiri
Grothendieck constructed a Cousin complex for abelian sheaves on an arbitrary topological space. In a special setting, its dual called the BGG resolution is applicable in represent…
A Perspective on the Foundations of Derived Analytic Geometry
Oren Ben-Bassat, Jack Kelly, Kobi Kremnizer
We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.
Zero-free half-planes of the ζ-function via spaces of analytic functions
Aditya Ghosh, Kobi Kremnizer, S. Waleed Noor +1
In this article, we introduce a general approach for deriving zero-free half-planes for the Riemann zeta function by identifying topological vector spaces of analytic functions…
Analytic Hochschild-Kostant-Rosenberg Theorem
Jack Kelly, Kobi Kremnizer, Devarshi Mukherjee
Let be a Banach ring. We prove that the category of chain complexes of complete bornological -modules (and several related categories) is a derived algebraic context in the…
On the Sheafyness Property of Spectra of Banach Rings
Federico Bambozzi, Kobi Kremnizer
Let R be a non-Archimedean Banach ring, satisfying some mild technical hypothesis that we will specify later on. We prove that to R one can associate a homotopical Huber spectrum S…
Fréchet Modules and Descent
Oren Ben-Bassat, Kobi Kremnizer
We study several aspects of the study of Ind-Banach modules over Banach rings thereby synthesizing some aspects of homological algebra and functional analysis. This includes a stud…