Двойственность в абелевых многообразиях и формальных группах над локальными полями

DOI10.22405/2226-8383-2018-19-1-44-56zbMath1439.14010OpenAlexW2896664260MaRDI QIDQ5109611

Nikolaj M. Glazunov

Publication date: 13 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb622

zbMATH Keywords

dualityabelian varietyfundamental groupPicard grouplocal fieldglobal fieldtorsorgroup schemeformal groupproalgebraic groupgroup of universal norms

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) History of algebraic geometry (14-03) Algebraic theory of abelian varieties (14K05) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

Cites Work

• Quotients of schemes by \(\alpha _p\) or \(\mu _{p}\) actions in characteristic \(p>0\)
• The Weil-étale fundamental group of a number field. II
• The Weil-étale topology for number rings
• Rational points of the group of components of a Néron model
• \(G\)-torsors over a Dedekind scheme
• Abelianization of the \(F\)-divided fundamental group scheme
• Cohomology of artinian group schemes over local fields
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Categories tannakiennes
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