Transcendental Methods In Algebraic Geometry

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Transcendental Methods In Algebraic Geometry

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Author : Jean-Pierre Demailly
language : en
Publisher: Springer
Release Date : 2006-11-14

Transcendental Methods In Algebraic Geometry written by Jean-Pierre Demailly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Transcendental Methods In Algebraic Geometry

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Author : Jean-Pierre Demailly
language : en
Publisher: Springer
Release Date : 1996-12-13

Transcendental Methods In Algebraic Geometry written by Jean-Pierre Demailly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-13 with Mathematics categories.

Transcendental Methods In Algebraic Geometry

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Author :
language : en
Publisher:
Release Date : 1996

Transcendental Methods In Algebraic Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Cell aggregation categories.

Algebraic Geometry

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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Algebraic Geometry written by Robin Hartshorne 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 2013-06-29 with Mathematics categories.

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Algebraic Cycles And Hodge Theory

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Author : Mark L. Green
language : en
Publisher: Springer
Release Date : 2004-09-02

Algebraic Cycles And Hodge Theory written by Mark L. Green and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-02 with Mathematics categories.

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Higher Dimensional Algebraic Geometry In Honour Of Professor Yujiro Kawamata S Sixtieth Birthday

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Author : K.Oguiso
language : en
Publisher: Advanced Studies in Pure Mathe
Release Date : 2017-11

Higher Dimensional Algebraic Geometry In Honour Of Professor Yujiro Kawamata S Sixtieth Birthday written by K.Oguiso and has been published by Advanced Studies in Pure Mathe this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11 with Mathematics categories.

This is the proceedings of the conference 'Higher dimensional algebraic geometry -- in honour of Professor Yujiro Kawamata's sixtieth birthday'. This volume consists of 20 inspiring research papers on birational algebraic geometry, minimal model program, derived algebraic geometry, classification of algebraic varieties, transcendental methods and so on, by very active top level of mathematicians all over the worlds. We believe that this volume will be useful for researchers in these area as well as those who are studying algebraic geometry.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

The Arithmetic And Geometry Of Algebraic Cycles

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Author : B. Brent Gordon
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-29

The Arithmetic And Geometry Of Algebraic Cycles written by B. Brent Gordon 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 2000-02-29 with Mathematics categories.

The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Topics In Transcendental Algebraic Geometry Am 106 Volume 106

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Author : Phillip A. Griffiths
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Topics In Transcendental Algebraic Geometry Am 106 Volume 106 written by Phillip A. Griffiths 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 2016-03-02 with Mathematics categories.

The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.

Transcendental Curves In The Leibnizian Calculus

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Author : Viktor Blasjo
language : en
Publisher: Academic Press
Release Date : 2017-04-22

Transcendental Curves In The Leibnizian Calculus written by Viktor Blasjo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-22 with Mathematics categories.

Transcendental Curves in the Leibnizian Calculus analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it. Brings to light this underlying and often implicit complex of concerns that permeate early calculus Evaluates the technical conception and mathematical construction of the geometrical method Reveals a previously unrecognized Liebnizian programmatic cohesion in early calculus Provides a beautifully written work of outstanding original scholarship

Algebraic Cycles And Hodge Theory

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Author : Mark L. Green
language : en
Publisher: Springer
Release Date : 1994-12-16

Algebraic Cycles And Hodge Theory written by Mark L. Green and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with Mathematics categories.

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.