Classification of vector bundles of rank 2 on hyperelliptic curves

From MaRDI portal
Publication:1224145

DOI10.1007/BF01408570zbMath0323.14012MaRDI QIDQ1224145

Usha V. Desale, S. Ramanan

Publication date: 1976

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142445




Related Items (55)

Quadratic complexes. IIFamilies of vector bundles and linear systems of theta divisorsDecompositions of moduli spaces of vector bundles and graph potentialsRemark on the moduli space of rank 2 bundles over a curveNets of quadrics and vector bundles on a double planeModuli space of parabolic vector bundles over hyperelliptic curvesOn the theta divisor of SU(r; 1)Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. IILa dimension de l'espace des sections du diviseur thêta généraliséRATIONAL FAMILIES OF VECTOR BUNDLES ON CURVESTwisting derived equivalencesClassification of real moduli spaces over genus 2 curvesMaximal line subbundles of stable bundles of rank 2 over an algebraic curveScaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\)Polarisations of type \((1,2,\dots ,2)\) on abelian varietiesTHE HYPERELLIPTIC THETA MAP AND OSCULATING PROJECTIONSUnnamed ItemThe generalized Plücker–Klein mapAll complete intersection varieties are Fano visitorsOn the cohomology of Fano varieties and the Springer correspondenceThe theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperellipticLocus of non-very stable bundles and its geometryOn the Hilbert scheme of the moduli space of vector bundles over an algebraic curveGeodesics on the ellipsoidA positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extensionModuli of torsionfree sheaves of rank two and odd degree on a nodal hyperelliptic curveDerived category of moduli of parabolic bundles on $\mathbb{P}^1$Lectures on Bridgeland StabilityDerived categories of curves as components of Fano manifoldsRestriction varieties and geometric branching rulesPencils of quadrics, binary forms and hyperclliptic curvesQuantum cohomology of the moduli space of stable bundles over a Riemann surfaceTangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curveON THE THETA DIVISOR OF SU(2,1)Orthogonal and spin bundles over hyperelliptic curvesHilbert schemes of lines and conics and automorphism groups of Fano threefoldsHyperelliptic Jacobians as billiard algebra of pencils of quadrics: Beyond Poncelet porismsOn Hitchin’s connectionAdmissible subcategories in derived categories of moduli of vector bundles on curvesOrthogonal and spin bundles over hyperelliptic curvesAutomorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number $1$Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêtaSchottky-Jung relations and vectorbundles on hyperelliptic curvesSingular pencils of quadrics and compactified Jacobians of curvesRank 2 quasiparabolic vector bundles on \(\mathbb P^1\) and the variety of linear subspaces contained in two odd-dimensional quadricsOn Fano Schemes of Complete IntersectionsAlgebraic cycles and intersections of 2 quadricsUnnamed ItemThe moduli space of real vector bundles of rank two over a real hyperelliptic curveSPHERICAL TRIANGLES AND THE TWO COMPONENTS OF THE SO(3)-CHARACTER SPACE OF THE FUNDAMENTAL GROUP OF A CLOSED SURFACE OF GENUS 2Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjectureThéorème de Torelli affine pour les intersections de deux quadriquesRationality of complete intersections of two quadrics over nonclosed fieldsIntegrable systems and moduli spaces of rank two vector bundles on a non-hyperelliptic genus 3 curve.Degenerate symplectic and orthogonal bundles on \({\mathbb{P}}^ 1\)



Cites Work


This page was built for publication: Classification of vector bundles of rank 2 on hyperelliptic curves