Prime thick subcategories on elliptic curves
Yuki Hirano, Genki Ouchi
TL;DR
This paper classifies prime thick subcategories in the derived category of coherent sheaves on elliptic curves and explores the Serre invariant locus of the Matsui spectrum for smooth projective curves.
Contribution
It provides a complete classification of prime thick subcategories on elliptic curves and characterizes the Serre invariant locus for the derived categories of smooth projective curves.
Findings
Classification of prime thick subcategories on elliptic curves
Determination of the Serre invariant locus for smooth projective curves
Extension of spectrum analysis to all smooth projective curves
Abstract
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic curves, and determine the Serre invariant locus of Matsui spectrum of derived category of coherent sheaves on any smooth projective curves.
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