coherent sheaves 1derived categories 1koszul duality 1projective schemes 1quadratic monomial algebras 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Koszul Duality for Coherent Sheaves
A. M. Bouhada
The paper develops a bounded derived Koszul duality theory for infinite‑dimensional Koszul algebras, specializes it to certain quadratic and absolutely Koszul algebras, and uses it…
math.RT2026
A Non-graded Koszul Duality and Its Applications
A. M. Bouhada
Let \(Î\) be a finite-dimensional Koszul algebra with Koszul dual \(Î^!\). We establish derived Koszul dualities at the level of bounded derived categories, both in the graded se…
math.RT2024
A Representation theoretic perspective of Koszul theory
Ales Bouhada, Min Huang, Zetao Lin +1
We discover a new connection between Koszul theory and representation theory. Let $\La$ be a quadratic algebra defined by a locally finite quiver with relations. Firstly, we give a…