Higher-Dimensional Algebraic Geometry

DOWNLOAD NOW »

Author: Olivier Debarre

Publisher: Springer Science & Business Media

ISBN: 147575406X

Category: Mathematics

Page: 234

View: 2389

The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.

Classification of Higher Dimensional Algebraic Varieties

DOWNLOAD NOW »

Author: Christopher D. Hacon,Sándor Kovács

Publisher: Springer Science & Business Media

ISBN: 3034602901

Category: Mathematics

Page: 220

View: 8633

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.

Geometry of Higher Dimensional Algebraic Varieties

DOWNLOAD NOW »

Author: Thomas Peternell,Joichi Miyaoka

Publisher: Springer Science & Business Media

ISBN: 9783764354909

Category: Mathematics

Page: 218

View: 2173

This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.

Proceedings of the International Congress of Mathematicians

Madrid, August 22-30, 2006

DOWNLOAD NOW »

Author: Marta Sanz Solé

Publisher: Amer Mathematical Society

ISBN: 9783037190227

Category: Mathematics

Page: 4500

View: 4006

The International Congress of Mathematicians (ICM) is held every four years. It is a major scientific event, bringing together mathematicians from all over the world and demonstrating the vital role that mathematics play in our society. In particular, the Fields Medals are awarded to recognize outstanding mathematical achievement. At the same time, the International Mathematical Union awards the Nevanlinna Prize for work in the field of theoretical computer science. The proceedings of ICM 2006, published as a three-volume set, present an overview of current research in all areas of mathematics and provide a permanent record the congress. The first volume features the works of Fields Medallists and the Nevanlinna Prize winner, the plenary lectures, and the speeches and pictures of the opening and closing ceremonies and award sessions. The other two volumes present the invited lectures, arranged according to their mathematical subject. Information for our distributors: Distributed within the Americas by the American Mathematical Society. All commerical channel discounts apply.

Newsletter

DOWNLOAD NOW »

Author: New Zealand Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 635

Positivity in algebraic geometry 2

DOWNLOAD NOW »

Author: R.K. Lazarsfeld,University of Michigan Staff

Publisher: Springer Science & Business Media

ISBN: 9783540225348

Category: Mathematics

Page: 385

View: 1620

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. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".

Vorlesungen Über die Zahlentheorie der Quaternionen

DOWNLOAD NOW »

Author: Adolf Hurwitz

Publisher: Springer-Verlag

ISBN: 3642475361

Category: Mathematics

Page: 76

View: 2766

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Aspects of Brownian Motion

DOWNLOAD NOW »

Author: Roger Mansuy,Marc Yor

Publisher: Springer Science & Business Media

ISBN: 9783540499664

Category: Mathematics

Page: 200

View: 9784

Stochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.

Endliche Gruppen

Eine Einführung in die Theorie der endlichen Gruppen

DOWNLOAD NOW »

Author: H. Kurzweil

Publisher: Springer-Verlag

ISBN: 3642953131

Category: Mathematics

Page: 190

View: 1300

Algebra

DOWNLOAD NOW »

Author: Siegfried Bosch

Publisher: Springer-Verlag

ISBN: 3642395678

Category: Mathematics

Page: 370

View: 4739

Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studierenden Freunde findet. Die vorliegende Auflage bietet neben zahlreichen Aufgaben (mit Lösungshinweisen) sowie einführenden und motivierenden Vorbemerkungen auch Ausblicke auf neuere Entwicklungen. Auch selten im Lehrbuch behandelte Themen wie Resultanten, Diskriminanten, Kummer-Theorie und Witt-Vektoren werden angesprochen. Die berühmten Formeln aus dem 16. Jahrhundert zur Auflösung von Gleichungen dritten und vierten Grades werden ausführlich erläutert und in den Rahmen der Galois-Theorie eingeordnet. Ein klares, modernes und inhaltsreiches Lehrbuch, das für das Studium der Algebra unentbehrlich ist.