ON THE RESIDUE OF EISENSTEIN CLASSES OF SIEGEL VARIETIES

DOI10.1017/S0017089517000271zbMath1439.11154arXiv1608.08554WikidataQ124850910 ScholiaQ124850910MaRDI QIDQ3177344

Francesco Lemma

Publication date: 24 July 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08554

zbMATH Keywords

Baily-Borel-Satake compactificationSiegel varieties

Mathematics Subject Classification ID

Elliptic curves (14H52) Modular and Shimura varieties (14G35) Polylogarithms and relations with (K)-theory (11G55) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• Realizations of polylogarithms
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure
• Les classes d'Eisenstein des varietes de Hilbert-Blumenthal
• Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification
• K-theory elements for the polylogarithm of abelian schemes
• Réalisation de Hodge du polylogarithme d'un schéma abélien
• Complexes pondérés sur les compactifications de Baily-Borel: Le cas des variétés de Siegel
• The Tamagawa number conjecture for CM elliptic curves

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