We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Reconstructing vector bundles on curves from their direct image on symmetric powers.
- Authors
Biswas, Indranil; Nagaraj, D.
- Abstract
Let C be an irreducible smooth complex projective curve, and let E be an algebraic vector bundle of rank r on C. Associated to E, there are vector bundles $${{\mathcal F}_n(E)}$$ of rank nr on S( C), where S( C) is the n-th symmetric power of C. We prove the following: Let E and E be two semistable vector bundles on C, with genus $${(C)\, \geq\, 2}$$ . If $${{\mathcal F}_n(E_1)\,\simeq \, {\mathcal F}_n(E_2)}$$ for a fixed n, then $${E_1 \,\simeq\, E_2}$$ .
- Subjects
PROJECTIVE curves; VECTOR bundles; COMPLEX numbers; INTEGER approximations; DIVISOR theory
- Publication
Archiv der Mathematik, 2012, Vol 99, Issue 4, p327
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-012-0440-9