Slopes of adelic vector bundles over global fields
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Publication:2389035
DOI10.4171/RSMUP/119-2zbMath1206.14047arXivmath/0605408MaRDI QIDQ2389035
Publication date: 22 July 2009
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605408
Algebraic moduli problems, moduli of vector bundles (14D20) Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items (28)
Adelic Cartier divisors with base conditions and the continuity of volumes ⋮ Explicit uniform estimation of rational points I. Estimation of heights ⋮ Counting algebraic points of bounded height on projective spaces ⋮ Minima, slopes and tensor algebra ⋮ Concerning the semistability of tensor products in Arakelov geometry ⋮ The Schanuel theorem in adelic Hermitian bundles ⋮ Categorification of Harder-Narasimhan theory via slope functions valued in totally ordered sets ⋮ A generalization of the effective Liouville theorem for projective varieties ⋮ On isoperimetric inequality in Arakelov geometry ⋮ Arithmetic Seshadri fuction and Arakelov geometry ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Hodge index inequality in geometry and arithmetic: a probabilistic approach ⋮ Freedom and accumulation ⋮ Siegel fields ⋮ Distribution of logarithmic spectra of the equilibrium energy ⋮ Minima and slopes of rigid adelic spaces ⋮ Introduction to arithmetic Hilbert-Samuel theorems ⋮ Beyond heights: slopes and distribution of rational points ⋮ Covolumes, units, regulator: conjectures by D. Bertrand and F. Rodriguez-Villegas ⋮ Okounkov bodies of filtered linear series ⋮ Note on adelic triangulations and an adelic Blichfeldt-type inequality ⋮ Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions ⋮ Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel ⋮ On the slopes of the lattice of sections of hermitian line bundles ⋮ On nef and semistable Hermitian lattices, and their behaviour under tensor product ⋮ Adelic geometry of numbers and generalized Siegel lemmas ⋮ Harder-Narasimhan categories ⋮ Successive minima and asymptotic slopes in Arakelov geometry
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