Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

DOI10.1007/978-3-030-44329-0zbMath1471.11002arXiv1512.08946OpenAlexW2284795436MaRDI QIDQ5119136

Jean-Benoît Bost

Publication date: 3 September 2020

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08946

zbMATH Keywords

Arakelov geometryarithmetic curvesEuclidean lattices

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Vector bundles on curves and their moduli (14H60) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Geometry of numbers (11Hxx)

Related Items (6)

Arithmetic surfaces and adelic quotient groups ⋮ Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies ⋮ Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\) ⋮ Euclidean lattices, theta invariants, and thermodynamic formalism ⋮ Grothendieck-Serre duality and theta-invariants on arithmetic surfaces ⋮ The theta invariants and the volume function on arithmetic varieties

This page was built for publication: Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves