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Dạng tài liệu:	Bản in
Chỉ số ISBN:	3-540-22534-X ,
Nguồn:	Tặng biếu : Quỹ Thysen
Ngôn ngữ:	English
Mã giá:	14LA
Mã MSC:	14-02 , 14C20
Tác giả:	Lazarsfeld, Robert, tác giả phụ
Nhan đề:	Positivity in algebraic geometry. II
Xuất bản, phát hành:	Berlin : Springer , 2004
Số trang:	384
Từ Khóa:	algebraic geometry
Bộ sách:	A series of Modern surveys in Mathematics

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  020	##	$a 3-540-22534-X ,$c Tặng biếu
  041	##	$a English
  084	##	$a 14LA
  097	##	14-02
  097	##	14C20
  100	##	$a Lazarsfeld, Robert
  245	##	$a Positivity in algebraic geometry. II
  260	##	$a Berlin :$b Springer,$c 2004
  300	##	$a 384
  500	##	$a Quỹ Thysen
  505	##	$a Notation and Conventions Part Two: Positivity for Vector Bundles Introduction to Part Two 6 Ample and Nef Vector Bundles 6.1 Classical Theory 6.2 Q-Twisted and Nef Bundles 6.3 Examples and Constructions 6.4 Ample Vector Bundles on Curves 7 Geometric Properties of Ample Bundles 7.1 Topology 7.2 Degeneracy Loci 7.3 Vanishing Theorems 8 Numerical Properties of Ample Bundles 8.1 Preliminaries from Intersection Theory 8.2 Positivity Theorems 8.3 Positive Polynomials for Ample Bundles 8.4 Some Applications Part Three: Multiplier Ideals and Their Applications Introduction to Part Three 9 Multiplier Ideal Sheaves 9.1 Preliminaries 9.2 Definition and First Properties 9.3 Examples and Complements 9.4 Vanishing Theorems for Multiplier Ideals 9.5 Geometric Properties of Multiplier Ideals 9.6 Skoda�s Theorem 10 Some Applications of Multiplier Ideals 10.1 Singularities 10.2 Matsusaka's Theorem 10.3 Nakamaye's Theorem on Base Loci 10.4 Global Generation of Adjoint Linear Series 10.5 The Effective Nullstellensatz 11 Asymptotic Constructions 11.1 Construction of Asymptotic Multiplier Ideals 11.2 Properties of Asymptotic Multiplier Ideals 11.3 Growth of Graded Families and Symbolic Powers 11.4 Fujita's Approximation Theorem 11.5 Siu's Theorem on Plurigenera Notes References Glossary of Notation Index
  520	##	$a About this book 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. Written for: Graduate students and researchers in algebraic geometry and neighboring fields
  653	##	$a algebraic geometry
  700	##	$a tác giả phụ
  773	##	$t A series of Modern surveys in Mathematics
  900	##	1
  927	##	Sách, chuyên khảo, tuyển tập

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