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Positivity in algebraic geometry. II

Tác giả: Lazarsfeld, Robert , tác giả phụ
Loại tài liệu: Sách, chuyên khảo, tuyển tập
Ký hiệu: Lv4630
Mã giá: 14LA
Nội dung tóm tắt: Xem chi tiết
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
Mục lục: Xem chi tiết
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

Thông tin chi tiết

    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

Thông tin xếp giá

  • ĐKCB: Lv4630
  • Tổng số bản: 1
  • Tổng số bản rỗi: 1
  • Tổng số đang đặt chỗ: 0

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