Del 178 i serien Cambridge Studies in Advanced Mathematics

Lectures on Logarithmic Algebraic Geometry

Inbunden, Engelska, 2018

1 349 kr

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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.

Produktinformation

Utgivningsdatum2018-11-08
Mått158 x 235 x 35 mm
Vikt900 g
FormatInbunden
SpråkEngelska
SerieCambridge Studies in Advanced Mathematics
Antal sidor558
FörlagCambridge University Press
ISBN9781107187733

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Matematik inom Naturvetenskap och teknik

'Logarithmic geometry is a framework tailored for studying two fundamental aspects in algebraic geometry; compactification and degeneration. It has spectacular applications to p-adic Hodge theory, ramification, etc. Written by a top researcher in the field, this book deals with the foundation of the theory. Emphasis is placed on the geometry of monoids, on which log geometry is based, and on logarithmic smoothness, a key concept of the theory. The reader will be enabled to explore the fertile field.' Takeshi Saito, University of Tokyo