HODGE POLYNOMIALS OF THE MODULI SPACES OF PAIRS

DOI10.1142/S0129167X07004266zbMath1120.14024arXivmath/0606676MaRDI QIDQ5297764

Vicente Muñoz, Daniel Ortega, M. J. Vázquez-Gallo

Publication date: 13 July 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606676

zbMATH Keywords

vector bundles on curvesstable pairstable vector bundles on curvesholomorphic triple

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Topological properties in algebraic geometry (14F45)

Related Items (12)

Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus ⋮ Brauer Group of Moduli Spaces of Pairs ⋮ Higher rank Brill—Noether theory and coherent systems open questions ⋮ The Hodge-Poincaré polynomial of the moduli spaces of stable vector bundles over an algebraic curve ⋮ Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing ⋮ Birationality of moduli spaces of twisted \(\mathrm {U}(p,q)\)-Higgs bundles ⋮ Hodge polynomials of the moduli spaces of rank 3 pairs ⋮ HODGE POLYNOMIALS OF SOME MODULI SPACES OF COHERENT SYSTEMS ⋮ HODGE STRUCTURES OF THE MODULI SPACES OF PAIRS ⋮ Variations of Hodge structures of rank three \(k\)-Higgs bundles and moduli spaces of holomorphic triples ⋮ Torelli theorem for the moduli spaces of pairs ⋮ COHERENT SYSTEMS OF GENUS 0 III: COMPUTATION OF FLIPS FOR k = 1

Cites Work

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• Poincaré polynomials of the variety of stable bundles
• On the cohomology groups of moduli spaces of vector bundles on curves
• Stable pairs, linear systems and the Verlinde formula
• Moduli spaces of holomorphic triples over compact Riemann surfaces
• Stable triples, equivariant bundles and dimensional reduction
• Topological properties of some spaces of stable bundles
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
• MODULI OF STABLE PAIRS FOR HOLOMORPHIC BUNDLES OVER RIEMANN SURFACES
• DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
• The hodge numbers of the moduli spaces of vector bundles over a Riemann surface
• The Yang-Mills equations over Riemann surfaces

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