Journal Article

On a Family of Surfaces of General Type Attached to Abelian Four-Folds and the Weyl Group W(E6)

Thomas Krämer

in International Mathematics Research Notices

Volume 2015, issue 24, pages 13062-13105
Published in print January 2015 | ISSN: 1073-7928
Published online March 2015 | e-ISSN: 1687-0247 | DOI: https://dx.doi.org/10.1093/imrn/rnv088
On a Family of Surfaces of General Type Attached to Abelian Four-Folds and the Weyl Group W(E6)

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We study a family of surfaces of general type that arises from the intersections of two translates of the theta divisor on a principally polarized complex abelian four-fold. In particular, we determine the Néron-Severi lattices of these surfaces and show that for a general abelian four-fold the monodromy group of the associated variation of Hodge structures is a subgroup of index at most two in the Weyl group [math], whereas for a Jacobian variety it degenerates to a subgroup of the symmetric group [math].

Journal Article.  16116 words. 

Subjects: Mathematics ; Pure Mathematics

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