Lecture on logarithmic algebraic geometry

By: Arthur OgusMaterial type: TextTextSeries: Cambridge Studies in Advanced Mathematics ; 178Publication details: U.K.: Cambridge University Press, [c2018]Description: 539 pISBN: 9781107187733Subject(s): MathematicsLOC classification: QA565
Contents:
1 - Introduction I - The Geometry of Monoids II - Sheaves of Monoids III - Logarithmic Schemes IV - Differentials and Smoothness V - Betti and de Rham Cohomology
Summary: 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. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 6 QA565 (Browse shelf (Opens below)) Available Billno: 42482 ; Billdate: 07.02.2019 01693
Total holds: 0

1 - Introduction
I - The Geometry of Monoids
II - Sheaves of Monoids
III - Logarithmic Schemes
IV - Differentials and Smoothness
V - Betti and de Rham Cohomology

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. --- summary provided by publisher

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