Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Copyright policy )Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Abstract We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay. Finally, we produce a one-dimensional family of ACM bundles over the moduli space.
- Fordham University United States
- University System of Ohio United States
- Miami University United States
- University of Miami United States
14J60, moduli space of stable bundles, Vector bundles on curves and their moduli, Mathematics - Category Theory, derived category, aCM bundles, 14H60, Mathematics - Algebraic Geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, QA1-939, FOS: Mathematics, Category Theory (math.CT), 14F08, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG), Mathematics
14J60, moduli space of stable bundles, Vector bundles on curves and their moduli, Mathematics - Category Theory, derived category, aCM bundles, 14H60, Mathematics - Algebraic Geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, QA1-939, FOS: Mathematics, Category Theory (math.CT), 14F08, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG), Mathematics
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