TY - BOOK AU - Arthur Ogus TI - Lecture on logarithmic algebraic geometry T2 - Cambridge Studies in Advanced Mathematics SN - 9781107187733 AV - QA565 PY - 2018///] CY - U.K. PB - Cambridge University Press KW - Mathematics N1 - 1 - Introduction I - The Geometry of Monoids II - Sheaves of Monoids III - Logarithmic Schemes IV - Differentials and Smoothness V - Betti and de Rham Cohomology N2 - 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 ER -