Lectures On Logarithmic Algebraic Geometry

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Lectures On Logarithmic Algebraic Geometry

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Author : Arthur Ogus
language : en
Publisher: Cambridge University Press
Release Date : 2018-11-08

Lectures On Logarithmic Algebraic Geometry written by Arthur Ogus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-08 with Mathematics categories.

A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.

Lectures On Formal And Rigid Geometry

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Author : Siegfried Bosch
language : en
Publisher: Springer
Release Date : 2014-08-22

Lectures On Formal And Rigid Geometry written by Siegfried Bosch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.

The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".

Lectures On Algebraic Geometry Ii

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Author : Günter Harder
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-21

Lectures On Algebraic Geometry Ii written by Günter Harder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.

This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.

The Red Book Of Varieties And Schemes

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Author : David Mumford
language : en
Publisher: Springer
Release Date : 2004-02-21

The Red Book Of Varieties And Schemes written by David Mumford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-21 with Mathematics categories.

Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

Introduction To The Theory Of Schemes

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Author : Yuri I. Manin
language : en
Publisher: Springer
Release Date : 2018-05-15

Introduction To The Theory Of Schemes written by Yuri I. Manin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-15 with Mathematics categories.

This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians. This book will be of interest to students majoring in algebraic geometry and theoretical physics (high energy physics, solid body, astrophysics) as well as to researchers and scholars in these areas. "This is an excellent introduction to the basics of Grothendieck's theory of schemes; the very best first reading about the subject that I am aware of. I would heartily recommend every grad student who wants to study algebraic geometry to read it prior to reading more advanced textbooks."- Alexander Beilinson

Lectures On Algebraic Quantum Groups

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Author : John C Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-04-01

Lectures On Algebraic Quantum Groups written by John C Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-01 with Mathematics categories.

This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.

The P Adic Simpson Correspondence

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Author : Ahmed Abbes
language : en
Publisher: Princeton University Press
Release Date : 2016-02-09

The P Adic Simpson Correspondence written by Ahmed Abbes and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with Mathematics categories.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra—namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized representations of the fundamental group that are p-adically close to the trivial representation. The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The second approach introduces a crystalline-type topos and replaces the notion of Higgs bundles with that of Higgs isocrystals. The authors show the compatibility of the two constructions and the compatibility of the correspondence with the natural cohomologies. The last part of the volume contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored. The authors present a new approach based on a generalization of P. Deligne's covanishing topos.

Optimal Mass Transport On Euclidean Spaces

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Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2023-11-16

Optimal Mass Transport On Euclidean Spaces written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-16 with Mathematics categories.

A pedagogical introduction to the key ideas and theoretical foundation of optimal mass transport for a graduate course or self-study.

Hardy Spaces

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Author : Nikolaï Nikolski
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-31

Hardy Spaces written by Nikolaï Nikolski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Mathematics categories.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

Modern Analysis Of Automorphic Forms By Example

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Author : Paul Garrett
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-20

Modern Analysis Of Automorphic Forms By Example written by Paul Garrett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Mathematics categories.

Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.