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Hessian K3 surfaces of non-Sylvester type

Authors :
Koike, Kenji
Source :
Journal of Algebra. Mar2011, Vol. 330 Issue 1, p388-403. 16p.
Publication Year :
2011

Abstract

Abstract: We study Hessian K3 surfaces of non-Sylvester form. They are obtained as toric hypersurfaces, and their periods satisfy the Lauricella''s hypergeometric differential equation . The period domain is the Siegel upper half-space of degree 2. We construct modular forms on it using results of Ibukiyama. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00218693
Volume :
330
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
58102495
Full Text :
https://doi.org/10.1016/j.jalgebra.2010.12.006