Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


The stability of exceptional bundles on complete intersection $ 3$-folds

Authors: Rosa Maria Miró-Roig and Helena Soares
Journal: Proc. Amer. Math. Soc. 136 (2008), 3751-3757
MSC (2000): Primary 14F05
Published electronically: June 20, 2008
MathSciNet review: 2425712
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A very long-standing problem in Algebraic Geometry is to determine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that any exceptional vector bundle on a smooth complete intersection $ 3$-fold $ Y\subset\mathbb{P}^n$ of type $ (d_1,\ldots,d_{n-3})$ with $ d_1+\cdots+ d_{n-3}\leq n$ and $ n\geq 4$ is stable.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14F05

Retrieve articles in all journals with MSC (2000): 14F05

Additional Information

Rosa Maria Miró-Roig
Affiliation: Facultat de Matemátiques, Departament d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain

Helena Soares
Affiliation: ISCTE Business School, Departamento de Métodos Quantitativos, Edifício ISCTE, Av. Forças Armadas, 1649-026 Lisboa, Portugal

PII: S 0002-9939(08)09258-7
Keywords: Exceptional vector bundles, stability
Received by editor(s): January 29, 2007
Received by editor(s) in revised form: February 23, 2007
Published electronically: June 20, 2008
Additional Notes: The first author was partially supported by MTM2004-00666
The second author was partially supported by Fundação para a Ciência e Tecnologia under grant SFRH/BD/16589/2004, and by Departamento de Métodos Quantitativos do Instituto Superior de Ciências do Trabalho e da Empresa
Communicated by: Ted Chinburg
Article copyright: © Copyright 2008 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia