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

 

On the varieties defined by Riemann-Mumford's relations


Author: Riccardo Salvati Manni
Journal: Proc. Amer. Math. Soc. 135 (2007), 1241-1247
MSC (2000): Primary 11F46
Published electronically: October 18, 2006
MathSciNet review: 2276630
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Abstract: In this paper we consider varieties defined by Riemann-Mumford's relations. An irreducible component of these varieties is related to Siegel modular varieties. We prove that in most cases Riemann-Mumford varieties are not irreducible.


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Additional Information

Riccardo Salvati Manni
Affiliation: Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Roma, Italy
Email: salvati@mat.uniroma1.it

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08635-7
PII: S 0002-9939(06)08635-7
Received by editor(s): November 14, 2004
Received by editor(s) in revised form: November 20, 2005
Published electronically: October 18, 2006
Communicated by: Michael Stillman
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.