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IRREDUCIBLE HEEGNER DIVISORS IN THE PERIOD SPACE OF ENRIQUES SURFACES

CANER KOCA

Stony Brook University, Department of Mathematics, Stony Brook, NY 11794-3651, USA

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and

ALİ SİNAN SERTÖZ

Bilkent University, Department of Mathematics, TR-06800 Ankara, Turkey

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https://doi.org/10.1142/S0129167X08004613Cited by:0 (Source: Crossref)

Abstract

Reflection walls of certain primitive vectors in the anti-invariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depending on the norm of these primitive vectors, these Heegner divisors are either irreducible or have two irreducible components. The two components are obtained as the walls orthogonal to primitive vectors of the same norm but of different type as ordinary or characteristic.

Keywords:

AMSC: 14J28, 11E39, 14J15

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