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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The moduli of curves of genus six and K3 surfaces


Authors: Michela Artebani and Shigeyuki Kondō
Journal: Trans. Amer. Math. Soc. 363 (2011), 1445-1462
MSC (2000): Primary 14J28, 14J10, 14H10
Published electronically: October 25, 2010
MathSciNet review: 2737272
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Abstract: We prove that the coarse moduli space of curves of genus six is birational to an arithmetic quotient of a bounded symmetric domain of type IV by giving a period map to the moduli space of some lattice-polarized K3 surfaces.


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Additional Information

Michela Artebani
Affiliation: Departamento de Matemática, Universidad de Concepción, Casilla 160-C, Concep- ción, Chile
Email: martebani@udec.cl

Shigeyuki Kondō
Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan
Email: kondo@math.nagoya-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-2010-05126-8
PII: S 0002-9947(2010)05126-8
Received by editor(s): August 2, 2008
Received by editor(s) in revised form: March 1, 2009, and June 1, 2009
Published electronically: October 25, 2010
Additional Notes: The first author was supported by: Proyecto FONDECYT Regular 2009, N. 1090069, PRIN 2005: Spazi di moduli e teoria di Lie, Indam (GNSAGA)
The second author was partially supported by JSPS Grant-in-Aid for Scientific Research A-18204001 and S-19104001
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.