Arthur Ogus

Lectures on Logarithmic Algebraic Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. November 2018
• Englisch
• ISBN-13: 9781316953563
• Artikelnr.: 54285812

Autorenporträt

Arthur Ogus is Professor Emeritus of Mathematics at the University of California, Berkeley. His work focuses on arithmetic, algebraic, and logarithmic geometry. He is the author of 35 research publications, and has lectured extensively on logarithmic geometry in the USA, France, Italy, and Japan.

Inhaltsangabe

1. The geometry of monoids
2. Sheaves of monoids
3. Logarithmic schemes
4. Differentials and smoothness
5. Betti and de Rham cohomology.