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Positivity In Algebraic Geometry I(2004)  무료배송

 
지은이 : Robert Lazarsfeld
출판사 : Springer-Verlag
판수 : 1 edition
페이지수 : 387 pages
ISBN : 3540225285
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 품절
     

 
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.

Part One: Ample Line Bundles and Linear Series.
Introduction to Part One.
Ample Nef Line Bundles.
Linear Series.
Geometric Manifestations of Positivity.
Vanishing Theorems.
Local Positivity.- Appendices.
References.
Glossary of Notation.
Index.

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