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222 results on '"Freitag, Eberhard"'

219. Der Deutsche Pferd-Arzt

Author

Freitag, Eberhard and Freitag, Eberhard

Abstract

hrsg. von Doctor Eberhard Freitag in Bethlehem

222. LATTICES WITH MANY BORCHERDS PRODUCTS.

Author

BRUINIER, JAN HENDRIK, EHLEN, STEPHAN, and FREITAG, EBERHARD

Subjects
*LATTICE theory, *WEIL representation (Mathematics), *ORTHOGONAL functions, *ELLIPTIC functions, *INTEGERS, *HOLOMORPHIC functions
Abstract

We prove that there are only finitely many isometry classes of even lattices L of signature (2, n) for which the space of cusp forms of weight 1 + n/2 for the Weil representation of the discriminant group of L is trivial. We compute the list of these lattices. They have the property that every Heegner divisor for the orthogonal group of L can be realized as the divisor of a Borcherds product. We obtain similar classification results in greater generality for finite quadratic modules. [ABSTRACT FROM AUTHOR]

Published
2016
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