Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

The moduli space of Enriques surfaces and Borcherds products


Author: Shigeyuki Kondō
Journal: J. Algebraic Geom. 11 (2002), 601-627
DOI: https://doi.org/10.1090/S1056-3911-02-00301-6
Published electronically: March 18, 2002
MathSciNet review: 1910262
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Abstract | References | Additional Information

Abstract: We shall give an $O^{+}(10, \mathbf {F}_{2})$-equivariant birational holomorphic map from the moduli space of Enriques surfaces with level 2 structure to $\mathbf {P}^{185}$ by using Borcherds’ theory of automorphic forms on a bounded symmetric domain of type IV. Its image satisfies $2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 17 \cdot 31$ quartic relations.


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Additional Information

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

Received by editor(s): May 18, 2000
Received by editor(s) in revised form: October 18, 2000
Published electronically: March 18, 2002
Additional Notes: Partially supported by Grants-in-Aid for Scientific Research (B)(2):10440005 and Houga: 11874004, Ministry of Education, Science and Culture