Recent Progress in Arithmetic and Algebraic Geometry.

Intro -- Contents -- Compact Kähler threefolds of π1-general type -- Completions of valuation rings -- A new construction of maximal curves -- 1. Introduction and Preliminaries -- 2. Mathematical Ingredients -- 3. The Construction of the Maximal Curve -- 4. Related Work -- References -- Strong non-isotriviality and rigidity -- Spectral sequences associated to morphisms of locally free sheaves -- Holomorphic forms on threefolds -- A note on toroidalization: The problem of resolution of singularities of morphisms in the logarithmic category -- 0. Introduction -- 1. Formulation of toroidalization as resolution of singularities of morphisms in the logarithmic category -- 2. Algorithm for toroidalization -- 3. Local analysis in the case where dim X = dim Y = 2 -- 4. Termination of the alogorithm in the case where dim X = dim Y = 2 -- Jacobians of quotients of Artin-Schreier curves -- Gluing schemes and a scheme without closed points.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.