On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices

DOI10.1007/s12188-010-0043-yzbMath1229.11062arXiv0903.4334OpenAlexW2057260352MaRDI QIDQ609396

Aloys Krieg, Gabriele Nebe, Michael Hentschel

Publication date: 30 November 2010

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4334

zbMATH Keywords

Einstein latticeEisenstein's number fieldexistence of nonvanishing Hermitian cusp formsHermitian modular groupHermitian theta seriesisometry classes

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Hecke-Petersson operators, differential operators (several variables) (11F60) Class numbers of quadratic and Hermitian forms (11E41) Automorphism groups of lattices (11H56)

Related Items (7)

ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE ⋮ Irregular cusps of ball quotients ⋮ On the classification of lattices over \(\mathbb Q(\sqrt{-3})\) which are even unimodular \(\mathbb Z\)-lattices of rank 32 ⋮ Automorphic forms for some even unimodular lattices ⋮ Theta operator on Hermitian modular forms over the Eisenstein field ⋮ Automorphic Forms on Feit’s Hermitian Lattices ⋮ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models

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