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Zariski Decomposition And Abundance


Zariski Decomposition And Abundance
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Zariski Decomposition And Abundance


Zariski Decomposition And Abundance
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Author : Noboru Nakayama
language : en
Publisher:
Release Date : 2004-12

Zariski Decomposition And Abundance written by Noboru Nakayama and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12 with Algebraic fields categories.




Zariski Decomposition And Abundance


Zariski Decomposition And Abundance
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Author : Noboru Nakayama
language : en
Publisher:
Release Date : 1997

Zariski Decomposition And Abundance written by Noboru Nakayama and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Divisor theory categories.




Classification Of Algebraic Varieties


Classification Of Algebraic Varieties
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Author : Carel Faber
language : en
Publisher: European Mathematical Society
Release Date : 2011

Classification Of Algebraic Varieties written by Carel Faber and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Fascinating and surprising developments are taking place in the classification of algebraic varieties. The work of Hacon and McKernan and many others is causing a wave of breakthroughs in the minimal model program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field. Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony to the sudden advances that originate from these new ideas. This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.





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Author :
language : en
Publisher: World Scientific
Release Date :

written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Classification Of Higher Dimensional Algebraic Varieties


Classification Of Higher Dimensional Algebraic Varieties
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Author : Christopher D. Hacon
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-02

Classification Of Higher Dimensional Algebraic Varieties written by Christopher D. Hacon 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 2011-02-02 with Mathematics categories.


Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.



Positivity In Algebraic Geometry I


Positivity In Algebraic Geometry I
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Author : R.K. Lazarsfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-24

Positivity In Algebraic Geometry I written by R.K. Lazarsfeld 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 2004-08-24 with History categories.


This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.



Surveys On Recent Developments In Algebraic Geometry


Surveys On Recent Developments In Algebraic Geometry
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Author : Izzet Coskun
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-12

Surveys On Recent Developments In Algebraic Geometry written by Izzet Coskun 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 2017-07-12 with Mathematics categories.


The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.



Contributions To Algebraic Geometry


Contributions To Algebraic Geometry
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Author : Piotr Pragacz
language : en
Publisher: European Mathematical Society
Release Date : 2012

Contributions To Algebraic Geometry written by Piotr Pragacz and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.



Complex Geometric Analysis


Complex Geometric Analysis
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Author : Toshiyuki Sugawa
language : en
Publisher: Springer Nature
Release Date : 2025-03-25

Complex Geometric Analysis written by Toshiyuki Sugawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-25 with Mathematics categories.


This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022. SCV, a central research area in mathematics, focuses on holomorphic functions of several variables, the geometry of analytic spaces, and its intersection with fields such as differential geometry, algebraic geometry, functional analysis, and operator theory. The first conference, The Conference on Complex Geometric Analysis, took place in January 2022 to celebrate the 65th birthday of Professor Kang-Tae Kim, a leading figure in SCV. The second, held in July 2022, was The POSTECH Conference 2022 on Complex Analytic Geometry, a joint event that included The 14th Korean Symposium of Several Complex Variables and The 28th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications. Both conferences attracted over 50 prominent researchers who gave lectures on the latest developments in the field. This volume serves as a testament to their contributions and the ongoing advancements in SCV research.



Foliation Theory In Algebraic Geometry


Foliation Theory In Algebraic Geometry
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Author : Paolo Cascini
language : en
Publisher: Springer
Release Date : 2016-03-30

Foliation Theory In Algebraic Geometry written by Paolo Cascini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Mathematics categories.


Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study./div