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Sheaves And Functions Modulo P


Sheaves And Functions Modulo P
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Sheaves And Functions Modulo P


Sheaves And Functions Modulo P
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Author : Lenny Taelman
language : en
Publisher: Cambridge University Press
Release Date : 2016

Sheaves And Functions Modulo P written by Lenny Taelman 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 2016 with Mathematics categories.


Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.



Surveys In Combinatorics 2022


Surveys In Combinatorics 2022
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Author : Anthony Nixon
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09

Surveys In Combinatorics 2022 written by Anthony Nixon 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 2022-06-09 with Mathematics categories.


This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.



An Indefinite Excursion In Operator Theory


An Indefinite Excursion In Operator Theory
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Author : Aurelian Gheondea
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-28

An Indefinite Excursion In Operator Theory written by Aurelian Gheondea 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 2022-07-28 with Mathematics categories.


Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.



Stacks Project Expository Collection Spec


Stacks Project Expository Collection Spec
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Author : Pieter Belmans
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-31

Stacks Project Expository Collection Spec written by Pieter Belmans 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 2022-10-31 with Mathematics categories.


A collection of expository articles on modern topics in algebraic geometry, focusing on the geometry of algebraic spaces and stacks.



Bounded Cohomology And Simplicial Volume


Bounded Cohomology And Simplicial Volume
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Author : Caterina Campagnolo
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-30

Bounded Cohomology And Simplicial Volume written by Caterina Campagnolo 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 2022-11-30 with Mathematics categories.


An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.



Differential Geometry In The Large


Differential Geometry In The Large
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Author : Owen Dearricott
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-22

Differential Geometry In The Large written by Owen Dearricott 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 2020-10-22 with Mathematics categories.


From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.



Facets Of Algebraic Geometry


Facets Of Algebraic Geometry
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Author : Paolo Aluffi
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-07

Facets Of Algebraic Geometry written by Paolo Aluffi 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 2022-04-07 with Mathematics categories.


Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.



The Calabi Problem For Fano Threefolds


The Calabi Problem For Fano Threefolds
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Author : Carolina Araujo
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-30

The Calabi Problem For Fano Threefolds written by Carolina Araujo 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 2023-06-30 with Mathematics categories.


Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.



Recent Developments In Algebraic Geometry


Recent Developments In Algebraic Geometry
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Author : Hamid Abban
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-30

Recent Developments In Algebraic Geometry written by Hamid Abban 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 2022-09-30 with Mathematics categories.


Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.



The Logical Approach To Automatic Sequences


The Logical Approach To Automatic Sequences
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Author : Jeffrey Shallit
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-30

The Logical Approach To Automatic Sequences written by Jeffrey Shallit 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 2022-09-30 with Computers categories.


Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.