On the intersection theory of Quot schemes and moduli of bundles with sections

DOI10.1515/CRELLE.2007.066zbMath1148.14016arXivmath/0601275MaRDI QIDQ5387205

Alina Marian

Publication date: 8 May 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601275

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Vector bundles on curves and their moduli (14H60)

Related Items

Rank-one sheaves and stable pairs on surfaces ⋮ Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing ⋮ Euler characteristics of tautological bundles over Quot schemes of curves ⋮ Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics

Cites Work

• Virtual intersections on the Quot scheme and Vafa-Intriligator formulas
• Stable pairs, linear systems and the Verlinde formula
• Stable maps and Quot schemes
• On the intersection theory of the moduli space of rank two bundles
• MODULI OF STABLE PAIRS FOR HOLOMORPHIC BUNDLES OVER RIEMANN SURFACES
• TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN
• Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians

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