Slopes of integral lattices.
type: Item
instance of: scholarly article
title: Slopes of integral lattices.
zbMATH Open document ID: 1041.11033
DOI: 10.1016/S0022-314X(02)00124-5
author: Cris Poor
author: David S. Yuen
published in: Journal of Number Theory
publication date: 2003-06-25T00:00:00Z
review text: The authors follow their investigation in the area of modular forms using the dyadic trace. In this paper they define the concept of slope for integral lattices. The main theorem states that a Siegel cusp form of slope less than the slope of an integral lattice with Gram matrix \(s\) satisfies \(f(s\tau)=0\) for any \(\tau\) in the upper half plane. Using this result the authors can exhibit, in genus 4, explicit period matrices that are not in the Jacobian locus
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11H55
Mathematics Subject Classification ID: 14K10
zbMATH DE Number: 1934774
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: slopes
zbMATH Keywords: lattices
zbMATH Keywords: dyadic trace
reviewed by: Riccardo Salvati Manni
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1934774