Canonical key formula for projective abelian schemes

DOI10.1007/s00229-014-0674-xzbMath1306.14021arXiv1209.3149OpenAlexW1987042258MaRDI QIDQ470880

Shun Tang

Publication date: 13 November 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3149

zbMATH Keywords

abelian schememoduli functorsheaf of differentials

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

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• An arithmetic Riemann-Roch theorem
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• Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
• Geometric Invariant Theory
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• On the determinant bundles of abelian schemes
• Lambda-structure on Grothendieck groups of Hermitian vector bundles
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