The moduli space of vector bundles over an algebraic curve

DOI10.1007/BF01578292zbMath0239.14013MaRDI QIDQ2553479

S. Ramanan

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162339

Mathematics Subject Classification ID

Related Items (57)

Picard groups of the moduli spaces of semistable sheaves. I ⋮ Non-orientable surfaces and electric-magnetic duality ⋮ Classification of the automorphism and isometry groups of Higgs bundle moduli spaces ⋮ On the theta divisor of SU(r; 1) ⋮ SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES ⋮ RATIONAL FAMILIES OF VECTOR BUNDLES ON CURVES ⋮ Remarks on minimal rational curves on moduli spaces of stable bundles ⋮ On a relative Mumford-Newstead theorem ⋮ Geometry of moduli stacks of \((k,l)\)-stable vector bundles over algebraic curves ⋮ On the rationality of the moduli schemes of vector bundles on curves ⋮ The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II ⋮ Automorphism group of a moduli space of framed bundles over a curve ⋮ Derived categories of moduli spaces of vector bundles on curves ⋮ On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve ⋮ Moduli of endomorphisms of semistable vector bundles over a compact Riemann surface ⋮ Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve ⋮ The Picard group of the universal moduli stack of principal bundles on pointed smooth curves ⋮ Motives of moduli spaces of bundles on curves via variation of stability and flips ⋮ On equivariant bundles and their moduli spaces ⋮ Projective Poincaré and Picard bundles for moduli spaces of vector bundles over nodal curves ⋮ Intermediate Jacobians and Hodge structures of moduli spaces ⋮ SOME REMARKS AID PROBLEMS CONCERNING THE GEOGRAPHY OF FANO 4-FOLDS OF INDEX AND PICARDNUMBER ONE ⋮ Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve ⋮ On the moduli space of $\lambda $-connections ⋮ A note on 1-cycles on the moduli space of rank-2 bundles over a curve ⋮ The Verlinde bundles and the semihomogeneous Wirtinger duality ⋮ Brauer group of the moduli spaces of stable vector bundles of fixed determinant over a smooth curve ⋮ On Abel-Jacobi maps of moduli of parabolic bundles over a curve ⋮ Poincaré Sheaves on the Moduli Spaces of Torsionfree Sheaves over an Irreducible Curve ⋮ On the relations between characteristic classes of stable bundles of rank 2 over an algebraic curve ⋮ Admissible subcategories in derived categories of moduli of vector bundles on curves ⋮ HODGE POLYNOMIALS OF SOME MODULI SPACES OF COHERENT SYSTEMS ⋮ Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta ⋮ Examples of Fano varieties of index one that are not birationally rigid ⋮ Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve ⋮ Genus 2 curves and generalized theta divisors ⋮ Monodromy for principal bundles ⋮ Stable bundles and integrable systems ⋮ Asymptotic properties of the quantum representations of the mapping class group ⋮ Geometry of algebraic varieties ⋮ The index formula for the moduli of \(G\)-bundles on a curve ⋮ Hecke cycles associated to rank 2 twisted Higgs bundles on a curve ⋮ Unnamed Item ⋮ On vector bundles over reducible curves with a node ⋮ A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle ⋮ Algebras of endomorphisms of semistable vector bundles of rank 3 over a Riemann surface ⋮ Universal vector bundle over the reals ⋮ Poincaré families and automorphisms of principal bundles on a curve ⋮ Remarks on lines and minimal rational curves ⋮ Hauteurs canoniques sur l'espace de modules des fibrés stables sur une courbe algébrique ⋮ On vector bundles over moduli spaces trivial on Hecke curves ⋮ Poincaré bundles for projective surfaces ⋮ Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves. ⋮ Universal families of extensions ⋮ Rational curves on moduli spaces of vector bundles ⋮ Derived Categories of Moduli Spaces of Vector Bundles on Curves II ⋮ On the stability of the Picard bundle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable and unitary vector bundles on a compact Riemann surface
• Space of unitary vector bundles on a compact Riemann surface
• Moduli of vector bundles on a compact Riemann surface
• Topological properties of some spaces of stable bundles
• Periods of a Moduli Space of Bundles on Curves
• Lectures on Curves on an Algebraic Surface. (AM-59)
• A Non-Existence Theorem for Families of Stable Bundles
• Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve

This page was built for publication: The moduli space of vector bundles over an algebraic curve