Positivity In Algebraic Geometry I
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Author | : R.K. Lazarsfeld |
Publisher | : Springer Science & Business Media |
Total Pages | : 414 |
Release | : 2004-08-24 |
Genre | : History |
ISBN | : 9783540225331 |
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.
Author | : R.K. Lazarsfeld |
Publisher | : Springer |
Total Pages | : 392 |
Release | : 2017-07-25 |
Genre | : Mathematics |
ISBN | : 3642188109 |
Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments
Author | : |
Publisher | : |
Total Pages | : 387 |
Release | : 2004 |
Genre | : Geometry, Algebraic |
ISBN | : |
Author | : Robert Lazarsfeld |
Publisher | : |
Total Pages | : |
Release | : 2004 |
Genre | : Geometry, Algebraic |
ISBN | : |
Author | : Robert Lazarsfeld |
Publisher | : |
Total Pages | : 387 |
Release | : 2004 |
Genre | : |
ISBN | : |
Author | : Robert Lazarsfeld |
Publisher | : |
Total Pages | : 404 |
Release | : 2011-04-13 |
Genre | : Geometry, Algebraic |
ISBN | : 9783642188114 |
Author | : R.K. Lazarsfeld |
Publisher | : Springer Science & Business Media |
Total Pages | : 412 |
Release | : 2004-08-24 |
Genre | : Mathematics |
ISBN | : 9783540225348 |
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".
Author | : Christopher D. Hacon |
Publisher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 2015-01-15 |
Genre | : Mathematics |
ISBN | : 110764755X |
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author | : Alexander Prestel |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662046482 |
Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.
Author | : Janos Kollár |
Publisher | : Cambridge University Press |
Total Pages | : 254 |
Release | : 2010-03-24 |
Genre | : Mathematics |
ISBN | : 9780511662560 |
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.