Specialization of Néron-Severi groups in positive characteristic

DOI10.24033/asens.2542arXiv1810.06481OpenAlexW4221162798MaRDI QIDQ6142377

Emiliano Ambrosi

Publication date: 21 December 2023

Published in: Annales Scientifiques de l École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06481

zbMATH Keywords

monodromyNéron-Severi groupspecializationoverconvergent \(F\)-isocrystalvariational Tate conjecture

Mathematics Subject Classification ID

Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Algebraic cycles (14C25) (p)-adic cohomology, crystalline cohomology (14F30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items

Boundedness of the p-primary torsion of the Brauer group of an abelian variety

Cites Work

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• Incarnations of Berthelot's conjecture
• Néron-Severi groups under specialization
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• La conjecture de Weil. II
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• For an unconditional theory of motives
• Smoothness, semi-stability and alterations
• Drinfeld shtukas and Langlands correspondence.
• An open adelic image theorem for motivic representations over function fields
• A variational Tate conjecture in crystalline cohomology
• Notes on isocrystals
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Finiteness of rigid cohomology with coefficients
• Théorie de Hodge. II. (Hodge theory. II)
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• $F$-isocrystals and their monodromy groups
• Sur la pureté de la cohomologie cristalline
• Relative log convergent cohomology and relative rigid cohomology II
• Langlands correspondence for isocrystals and the existence of crystalline companions for curves
• Theory of weights in p-adic cohomology
• ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES
• Etale Cohomology Theory
• A remark on uniform boundedness for Brauer groups
• Non-simple abelian varieties in a family: geometric and analytic approaches