We complete the proof of the fact that the moduli space of rank two bundles with trivial determinant embeds into the linear system of divisors on Picg-1C that are linearly equivalent to 20. The embedded tangent space at a semistable non-stable bundle ξ ⊕ ξ-1, where ξ is a degree zero line bundle, is shown to consist of those divisors in |2Θ| that contain Sing(Θξ) where Θξ is the translate of Θ by ξ. We also obtain geometrical results on the structure of this tangent space.
The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian / B. VAN GEEMEN, E. IZADI. - In: JOURNAL OF ALGEBRAIC GEOMETRY. - ISSN 1056-3911. - 10:1(2001), pp. 133-177.
The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian
B. VAN GEEMENPrimo
;
2001
Abstract
We complete the proof of the fact that the moduli space of rank two bundles with trivial determinant embeds into the linear system of divisors on Picg-1C that are linearly equivalent to 20. The embedded tangent space at a semistable non-stable bundle ξ ⊕ ξ-1, where ξ is a degree zero line bundle, is shown to consist of those divisors in |2Θ| that contain Sing(Θξ) where Θξ is the translate of Θ by ξ. We also obtain geometrical results on the structure of this tangent space.Pubblicazioni consigliate
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