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A survey of the Hodge|Arakelov theory of elliptic curves. II


A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

Keywords: elliptic curve, universal extension, Kodaira-Spencer mor- phism, Hodge Theory, crystalline, theta function, Galois action, Frobenius morphism, ...

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

The Hodge-Arakelov theory of elliptic curves gives rise to a natural analogue of the Kodaira-Spencer morphism in the arithmetic context of an elliptic curve ...

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

This theory is a sort of "Hodge theory of elliptic curves" analogous to the classical complex and p p -adic Hodge theories, but which exists in the global ...

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

The purpose of the present manuscript is to give a survey of the Hodge-Arakelov theory of elliptic curves (cf. [Mzk1,2]) — i.e., a sort of “Hodge theory of ...

A Survey of The Hodge-Arakelov Theory of Elliptic Curves II | PDF ...

This document summarizes recent developments in the Hodge-Arakelov theory of elliptic curves. It begins by reviewing how the classical Kodaira-Spencer ...

A survey of the Hodge-Arakelov theory of elliptic curves. II

Request PDF | A survey of the Hodge-Arakelov theory of elliptic curves. II | The purpose of the present manuscript is to give a survey of the Hodge-Arakelov ...

A Survey of the Hodge-Arakelov Theory of Elliptic Curves I

The purpose of the present manuscript is to give a survey of the Hodge-Arakelov theory of elliptic curves (cf. [Mzk1,2]) — i.e., a sort of “Hodge theory of ...

Shinichi Mochizuki - A Survey of the Hodge-Arakelov Theory of ...

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II. Algebraic Geometry 2000. Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan. S. Mochizuki. Volume ...

Hodge–Arakelov theory - Wikipedia

It bears the name of two mathematicians, Suren Arakelov and W. V. D. ... Mochizuki, Shinichi (2002a), "A survey of the Hodge-Arakelov theory of elliptic curves.

The Hodge-Arakelov Theory of Elliptic Curves : Global Discretization ...

The purpose of the present manuscript is to give a survey of the Hodge-Arakelov theory of elliptic curves (cf. [Mzk1,2]) — i.e., a sort of “Hodge theory of ...

Algebraic geometry 2000, Azumino | WorldCat.org

Konno Integral $p$-adic Hodge theory by C. Breuil A survey of the Hodge-Arakelov theory of elliptic curves II by S. Mochizuki Refined cycle maps by M. Saito ...

Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic ...

The fundamental groups of once punctured elliptic curves have also been studied in depth by M.Asada [As01], R.Hain [Ha97], M.Kim [Ki07], S.

A road to inter-universal Teichmuller theory - MathOverflow

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II. Particularly interesting is Fesenko's recent extended remarks on IUT (and learning ...

Introduction to Hodge Theory via the example of Elliptic Curves

Intriguingly, Hodge theory serves as a bridge between the two. In ... the theories about de Rham cohomology to study algebraic geometry.

Philosophy behind Mochizuki's work on the ABC conjecture

... A survey of the Hodge-Arakelov Theory of Elliptic Curves I". Mochizuki is an extremely good writer!! If you elide unclear technical issues ...

Inter-universal Teichmüller Theory II: Hodge–Arakelov-Theoretic ...

In the present paper, which is the second in a series of four papers, we study ... punctured elliptic curve; theta-link; étale theta function ...

arXiv:1412.8499v2 [math.AG] 16 Jan 2015

At the time of writing this survey, Hodge theory stands as one of the most ... Both will feature elliptic curves, as their cohomologies carry ...

Seminar: p-adic Hodge theory

the theory of elliptic curves it is well-known that there exists a ... Niziol, Wieslawa (2020), “Hodge theory of p-adic varieties: A survey”, ...

Hodge theory of p-adic varieties: a survey - IMJ-PRG

(2) 1967–70: Tate and Grothendieck discover that, for an elliptic curve over. K (or, more generally, an abelian variety), its de Rham cohomology and its p-adic ...

Advice on understanding Hodge Conjecture : r/math - Reddit

Geometry of Curves and Surfaces. Calculus of Variations. I know I need to at least study topology, group theory, differential geometry, and ...