3 papers
math.RT2026
Thick subcategories on weighted projective curves and nilpotent representations of quivers
Alexey Elagin
We continue the study of thick triangulated subcategories, started by Valery Lunts and the author in arXiv:2007.02134, and consider thick subcategories in the derived category of c…
math.RT2026
Entropy of the Serre functor for partially wrapped Fukaya categories of surfaces with stops
Wen Chang, Alexey Elagin, Sibylle Schroll
We prove that the entropy of the Serre functor in the partially wrapped Fukaya category of a graded surface with stops is given by the function sending $t \in \ma…
math.AG2025
Atomic decompositions for derived categories of G-surfaces
Alexey Elagin, Julia Schneider, Evgeny Shinder
We construct canonical semi-orthogonal decompositions for derived categories of smooth projective surfaces. These decompositions are compatible with the operations in the minimal m…