Titlebook: Local Systems in Algebraic-Arithmetic Geometry; Hélène Esnault Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive

Endometrium

exclusice

Hélène Esnault(Over)view on the relation between local systems in complex algebraic geometry and in arithmetic geometry.Discusses deep conjectures that are presently out of reach.Proposes sub-conjectures that might

Malcontent

Lecture Notes in Mathematicshttp://image.papertrans.cn/l/image/587717.jpg

柔美流暢

https://doi.org/10.1007/978-3-031-40840-3Motives; Local Systems; Hodge Theory; p-adic Hodge Theory; Algebraic Geometry; Complex Local Systems; l-ad

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慎重

Lecture 5: Interlude on Some Difference Between the Fundamental Groups in Characteristic 0 and ,See the Abstract of Chap. .: we show here the existence of an obstruction to lift a smooth (quasi-)projective variety defined over an algebraically closed field . of characteristic . to characteristic 0 which relies purely on the shape of its (tame) fundamental group.

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narcissism

,Lecture 3: Mal?ev-Grothendieck’s Theorem, Its Variants in Characteristic ,, Gieseker’s Conjecture, lgebraic completion. We recall Grothendieck’s version of it formulated with .-modules using the Riemann-Hilbert correspondence, then the Gieseker conjecture, its counterpart in characteristic ., its solution and generalizations.

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