Positivity in algebraic geometry, 1.. Classical setting: line bundles and linear series
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. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". TOC: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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540225287
3540225285
- Umfang
-
XVIII, 387 S.
- Sprache
-
Deutsch
- Anmerkungen
-
graph. Darst.
- Erschienen in
-
Positivity in algebraic geometry
- Klassifikation
-
Mathematik
- Ereignis
-
Veröffentlichung
- (wo)
-
Berlin, Heidelberg, New York
- (wer)
-
Springer
- (wann)
-
2004
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 13:41 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Lazarsfeld, Robert
- Springer
Entstanden
- 2004
Ähnliche Objekte (12)
Positivity in algebraic geometry, 1.. Classical setting : line bundles and linear series
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Enumerative geometry and classical algebraic geometry
Non-trivial Bundles and Algebraic Classical Field Theory
Ulrich bundles : from commutative algebra to algebraic geometry
Applications of classical algebraic geometry to cryptography
Algebraic and motivic vector bundles
Higgs bundles without geometry
Positivity of line bundles and Newton-Okounkov bodies
Algebraic geometry
Algebraic geometry
Positivity in algebraic geometry, 1.. Classical setting : line bundles and linear series
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Enumerative geometry and classical algebraic geometry
Non-trivial Bundles and Algebraic Classical Field Theory
Ulrich bundles : from commutative algebra to algebraic geometry
Applications of classical algebraic geometry to cryptography
Algebraic and motivic vector bundles
Higgs bundles without geometry
Positivity of line bundles and Newton-Okounkov bodies
Algebraic geometry
Algebraic geometry
Positivity in algebraic geometry, 1.. Classical setting : line bundles and linear series
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Positivity in algebraic geometry, 2.. Positivity for vector bundles, and multiplier ideals
Enumerative geometry and classical algebraic geometry
Non-trivial Bundles and Algebraic Classical Field Theory
Ulrich bundles : from commutative algebra to algebraic geometry
Applications of classical algebraic geometry to cryptography
Algebraic and motivic vector bundles
Higgs bundles without geometry
Positivity of line bundles and Newton-Okounkov bodies
Algebraic geometry