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On the arithmetic Chern character

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Publication:476074
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DOI10.5802/afst.1418zbMath1326.14064arXiv1201.4968OpenAlexW2963781900MaRDI QIDQ476074

Henri A. Gillet, Christophe Soule

Publication date: 28 November 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4968



Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)




Cites Work

  • Unnamed Item
  • Characteristic classes for algebraic vector bundles with Hermitian metric. II
  • Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
  • A vanishing theorem on arithmetic surfaces
  • Direct images in non-archimedean Arakelov theory
  • An arithmetic Riemann-Roch theorem
  • Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section


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