Academic Journal
Restrictions of Picard bundles
| العنوان: | Restrictions of Picard bundles |
|---|---|
| المؤلفون: | I. Biswas, L. Brambila-paz, P. E. Newstead |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/math/0104170v2.pdf. |
| سنة النشر: | 1999 |
| المجموعة: | CiteSeerX |
| الوصف: | Let X be a nonsingular algebraic curve of genus g ≥ 3, and let Mξ denote the moduli space of stable vector bundles of rank n ≥ 2 and degree d with fixed determinant ξ over X such that n and d are coprime and d> n(2g − 2). We assume that if g = 3 then n ≥ 4 and if g = 4 then n ≥ 3. Let Wξ(L) denote the vector bundle over Mξ defined by the direct image pMξ∗(Uξ ⊗p ∗ X L) where Uξ is a universal vector bundle over X ×Mξ and L is a line bundle over X of degree zero. The space of infinitesimal deformations of Wξ(L) is proved to be isomorphic to H 1 (X, OX). This construction gives a complete family of vector bundles over Mξ parametrized by the Jacobian J of X such that Wξ(L) is the vector bundle corresponding to L ∈ J. The connected component of the moduli space of stable sheaves with the same Hilbert polynomial as Wξ(O) over Mξ containing Wξ(O) is in fact isomorphic to J as a polarised variety. 1. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.238.1184; http://arxiv.org/pdf/math/0104170v2.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.238.1184 http://arxiv.org/pdf/math/0104170v2.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.46103428 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |