Vector bundles and theta functions on curves of genus 2 and 3

DOI10.1353/ajm.2006.0018zbMath1099.14024arXivmath/0406030OpenAlexW2154234412MaRDI QIDQ5480183

Arnaud Beauville

Publication date: 26 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0406030

zbMATH Keywords

moduli of vector bundlesmap associated to the determinant bundle

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Divisors, linear systems, invertible sheaves (14C20)

Related Items (9)

Families of vector bundles and linear systems of theta divisors ⋮ Moduli of rank 4 symplectic vector bundles over a curve of genus 2 ⋮ Surfaces containing a family of plane curves not forming a fibration ⋮ RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO ⋮ The space of generalized \(G_2\)-theta functions of level 1 ⋮ COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$ ⋮ Genus 2 curves and generalized theta divisors ⋮ Rank four vector bundles without theta divisor over a curve of genus two ⋮ Theta divisors of stable vector bundles may be nonreduced

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