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.
Positivity in Algebraic Geometry I
and over one million other books are available for Amazon Kindle.
Learn more
FREE Two-Day Shipping for Students. Learn more |
| |||||||||||||||
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Frequently Bought Together
Editorial Reviews
Review
From the reviews:
"This a ] book offers a comprehensive, up-to-date account on ampleness and positivity in complex algebraic geometry. a ] The book contains a wealth of material and aims at readers with a certain overview in complex algebraic geometry. a ] the text never gets bogged down in technicalities, and is a pleasure to read. The presentation nicely reveals historical developments and mathematical interplay between various results. a ] A fine book indeed." (Stefan SchrAer, Zentralblatt MATH, Vol. 1066, 2005)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
Linear series have long stood at the center of algebraic geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
litaka dimension, algebraic fibre space, stable base locus, nef cone, litaka fibration, irrational volume, nef divisor, nef classes, big divisor, nef line bundles, numerical equivalence classes, base loci, graded family, local positivity, big line bundle, ample vector bundles, multiplier ideals, irreducible projective variety, ample divisor, hyperplane divisor, complete linear series, linear normality, ample cone, mixed multiplicities, constructible sheaf Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fulton Hansen, Sketch of Proof, Riemann Roch, Proof of Lemma, Barth Larsen, Buser Sarnak, Cohen Macaulay New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Linear series have long stood at the center of algebraic geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
litaka dimension, algebraic fibre space, stable base locus, nef cone, litaka fibration, irrational volume, nef divisor, nef classes, big divisor, nef line bundles, numerical equivalence classes, base loci, graded family, local positivity, big line bundle, ample vector bundles, multiplier ideals, irreducible projective variety, ample divisor, hyperplane divisor, complete linear series, linear normality, ample cone, mixed multiplicities, constructible sheaf Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fulton Hansen, Sketch of Proof, Riemann Roch, Proof of Lemma, Barth Larsen, Buser Sarnak, Cohen Macaulay New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 43
books:
See all 43 books this book cites
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne in Back Matter (1), Back Matter (2), and Back Matter (3)
- Algebraic Geometry (Dover Books on Mathematics) by Solomon Lefschetz in Back Matter (1), Back Matter (2), and Back Matter (3)
- Algebraic Geometry by Shreeram S. Abhyankar in Back Matter (1), and Back Matter (2)
- New Trends in Algebraic Geometry (London Mathematical Society Lecture Note Series) by K. Hulek in Back Matter (1), and Back Matter (2)
- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, Vol 65) by Raymond O'Neil Wells in Back Matter
See all 43 books this book cites
Books on Related Topics
(learn more)
|
What Other Items Do Customers Buy After Viewing This Item?
Suggested Tags from Similar Products(What's this?)Be the first one to add a relevant tag (keyword that's strongly related to this product).
|
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
