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)



A generalization of Max Noether's theorem

Author: Renato Vidal Martins
Journal: Proc. Amer. Math. Soc. 140 (2012), 377-391
MSC (2010): Primary 14H20; Secondary 14H45, 14H51
Published electronically: May 31, 2011
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Max Noether's theorem asserts that if $ \omega$ is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve, then the natural morphisms Sym$ ^nH^0(\omega)\to H^0(\omega^n)$ are surjective for all $ n\geq 1$. This is true for Gorenstein nonhyperelliptic curves as well. We prove that this remains true for nearly Gorenstein curves and for all integral nonhyperelliptic curves whose non-Gorenstein points are unibranch. The results are independent and have different proofs. The first one is extrinsic, the second intrinsic.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 14H20, 14H45, 14H51

Retrieve articles in all journals with MSC (2010): 14H20, 14H45, 14H51

Additional Information

Renato Vidal Martins
Affiliation: Departamento de Matemática, Instituto de Ciencias Exatas, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 30123-970 Belo Horizonte MG, Brazil

Keywords: Singular curve, non-Gorenstein curve, Max Noether theorem
Received by editor(s): September 14, 2009
Received by editor(s) in revised form: November 16, 2010
Published electronically: May 31, 2011
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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