Back to Search
Start Over
Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves
- Publication Year :
- 2023
-
Abstract
- We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that the tautological bundle determines the isomorphism class of the original vector bundle on the curve. We also give a vanishing result for the push-forward along the Quot--Chow morphism of tensor and wedge products of duals of tautological bundles.<br />Comment: Small changes in exposition, fixed some typos
- Subjects :
- Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.17124
- Document Type :
- Working Paper