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Arithmetic Of Blowup Algebras


Arithmetic Of Blowup Algebras
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Arithmetic Of Blowup Algebras


Arithmetic Of Blowup Algebras
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Author : Wolmer V. Vasconcelos
language : en
Publisher: Cambridge University Press
Release Date : 1994-02-25

Arithmetic Of Blowup Algebras written by Wolmer V. Vasconcelos 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 1994-02-25 with Mathematics categories.


This book discusses recent developments in an important area of computational commutative algebra.



Recent Developments In Commutative Algebra


Recent Developments In Commutative Algebra
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Author : Claudia Polini
language : en
Publisher: Springer Nature
Release Date : 2021-03-02

Recent Developments In Commutative Algebra written by Claudia Polini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Mathematics categories.


This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.



Algebraic K Theory Commutative Algebra And Algebraic Geometry


Algebraic K Theory Commutative Algebra And Algebraic Geometry
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Author : R. Keith Dennis
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Algebraic K Theory Commutative Algebra And Algebraic Geometry written by R. Keith Dennis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


In the mid-1960's, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic K-theory in the US. These connections were exemplified by the work of Andreotti-Bombieri, Salmon, and Traverso on seminormality, and by Bass-Murthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of K-theory to arithmetic and real geometry. This volume contains the proceedings from a US-Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area.



Commutative Algebra


Commutative Algebra
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Author : Melvin Hochster
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Commutative Algebra written by Melvin Hochster 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 2012-12-06 with Mathematics categories.


During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley. The intent of the microprogram was to survey recent major results and current trends in the theory of commutative rings, especially commutative Noetherian rings. There was enthusiastic international participation. The papers in this volume, some of which are expository, some strictly research, and some a combination, reflect the intent of the program. They give a cross-section of what is happening now in this area. Nearly all of the manuscripts were solicited from the speakers at the conference, and in most instances the manuscript is based on the conference lecture. The editors hope that they will be of interest and of use both to experts and neophytes in the field. The editors would like to express their appreciation to the director of MSRI, Professor Irving Kaplansky, who first suggested the possibility of such a conference and made the task of organization painless. We would also like to thank the IVISRI staff who were unfailingly efficient, pleasant, and helpful during the meeting, and the manager of MSRI, Arlene Baxter, for her help with this volume. Finally we would like to express our appreciation to David Mostardi who did much of the typing and put the electronic pieces together.



Number Theory And Algebraic Geometry


Number Theory And Algebraic Geometry
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Author : Miles Reid
language : en
Publisher: Cambridge University Press
Release Date : 2003

Number Theory And Algebraic Geometry written by Miles Reid 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 2003 with Mathematics categories.


This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.



Algebras And Their Arithmetics


Algebras And Their Arithmetics
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Author : Leonard Eugene Dickson
language : en
Publisher:
Release Date : 1923

Algebras And Their Arithmetics written by Leonard Eugene Dickson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1923 with Algebra, Universal categories.




Singularities Algebraic Geometry Commutative Algebra And Related Topics


Singularities Algebraic Geometry Commutative Algebra And Related Topics
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Author : Gert-Martin Greuel
language : en
Publisher: Springer
Release Date : 2018-09-18

Singularities Algebraic Geometry Commutative Algebra And Related Topics written by Gert-Martin Greuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-18 with Mathematics categories.


This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.



Algebraic Groups And Their Birational Invariants


Algebraic Groups And Their Birational Invariants
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Author : Valentin Evgenʹevich Voskresenskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Algebraic Groups And Their Birational Invariants written by Valentin Evgenʹevich Voskresenskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book studies birational properties of linear algebraic groups focusing on arithmetic applications.



Arithmetic Algebraic Geometry


Arithmetic Algebraic Geometry
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Author : Brian David Conrad
language : en
Publisher: American Mathematical Soc.
Release Date :

Arithmetic Algebraic Geometry written by Brian David Conrad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.



Commutative Algebra


Commutative Algebra
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Author : Irena Peeva
language : en
Publisher: Springer Nature
Release Date : 2022-02-18

Commutative Algebra written by Irena Peeva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Mathematics categories.


This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.