Warenkorb
€ 0,00 0 Buch dabei,
portofrei
Complex Abelian Varieties als Buch
PORTO-
FREI

Complex Abelian Varieties

'Grundlehren der mathematischen Wissenschaften'. 2nd augmented ed. 2004. Augmented. Bibliographie. Book.…
Buch (gebunden)
Ihr 12%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
12% Rabatt sichern mit Gutscheincode: SONNE12
 
The subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, bu … weiterlesen
Dieses Buch ist auch verfügbar als:
Buch

96,49*

inkl. MwSt.
Portofrei
Sofort lieferbar
Complex Abelian Varieties als Buch

Produktdetails

Titel: Complex Abelian Varieties
Autor/en: Christina Birkenhake, Herbert Lange

ISBN: 3540204881
EAN: 9783540204886
'Grundlehren der mathematischen Wissenschaften'.
2nd augmented ed. 2004. Augmented.
Bibliographie.
Book.
Sprache: Englisch.
Springer-Verlag GmbH

22. April 2004 - gebunden - XI

Beschreibung

The subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference.
The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed.
Some special results on Jacobians and Prym varieties allow applications to the theory of algebraic curves.This edition contains five new chapters which present some of the most important recent result on the subject. Among them are results on automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture.

Inhaltsverzeichnis

Notation.
- 1. Complex Tori.
- 2. Line Bundles on Complex Tori.
- 3. Cohomology of Line Bundles.
- 4. Abelian Varieties.
- 5. Endomorphisms of Abelian Varieties.
- 6. Theta and Heisenberg Groups.
- 7. Equations for Abelian Varieties.
- 8. Moduli.
- 9. Moduli Spaces of Abelian Varieties with Endomorphism Structure.
- 10. Abelian Surfaces.
- 11. Jacobian Varieties.
- 12. Prym Varieties.
- 13. Automorphisms.
- 14. Vector bundles on Abelian Varieties.
- 15. Further Results on Line Bundles an the Theta Divisor.
- 16. Cycles on Abelian varieties.
- 17. The Hodge Conjecture for General Abelian and Jacobian Varieties.
- A. Algebraic Varieties and Complex Analytic Spaces.
- B. Line Bundles and Factors of Automorphy.
- C. Some Algebraic Geometric Results.
- C.1 Some Properties of ?-Divisors.
- C.2 The Kodaira Dimension.
- C.3 Vanishing Theorems.
- C.6 Some Results from Intersection Theory.
- C.7 Adjoint Ideals.
- D. Derived Categories.
- D.1 Definition and First Properties.
- D.2 Derived Functors.
- D.3 The Grothendieck-Riemann-Roch Theorem.
- E. Moduli Spaces of Sheaves.
- F. Abelian Schemes.
- F.1 Abelian Schemes and the Poincar¿e Bundle.
- F.2 Relative Fourier Functor.
- F.3 The Relative Jacobian.- Glossary of Notation.

Pressestimmen

From the reviews:

"... the authors have somehow managed to make it unique in several respects: not only is it far more readable than most of other book on the subject, but it is also much more complete. It is, in my opinion, a very valuable reference book ... . [...] ...prerequisites are kept to a minimum. Very little background in algebraic geometry is necessary, almost all proofs are complete and accessible references are provided whenever they are not. ... Olivier Debarre in Mathematical Reviews, 1994

"It is a great reference and textbook, detailed, very up-to-date, thorough, clearly written and perfectly arranged."
W. Kleinert in Zentralblatt MATH, 1993

"... written in an understandable and systematical way and can be recommended to all mathematicians and physicists interested in the subject."
Newsletter of the European Mathematical Society, 1993

From the reviews of the second edition:

"This book aims to be a course in Lie groups that can be covered in one year with a group of seasoned graduate students. ... offers a wealth of complementary, partly quite recent material that is not found in any other textbook on Lie groups. ... this book covers an unusually wide spectrum of topics ... . the entire presentation is utmost thorough, comprehensive, lucid and absolutely user-friendly. ... All together, this graduate text his a highly interesting, valuable and welcome addition ... . (Werner Kleinert, Zentralblatt MATH, Vol. 1053, 2005)

From the reviews of the second edition:

"This is the second, substantially extended edition of the book ... . The book well deserves to become a standard reference for more researchers working or interested in the theory of abelian varieties." (Fumio Hazama, Mathematical Reviews, 2005c)

"The book under review is the second, essentially augmented edition of the original standard text, which now also reflects some of the very recent developments. ... the bibliography has been accordingly up-dated and enhanced. ... Summing up, the second, amply enlarged and up-dated edition of this outstanding standard monograph on complex abelian varieties has increased its utility in a significant degree, and its leading position among the existing books on the subject has been evidently strengthened." (Werner Kleinert, Zentralblatt MATH, Vol. 1056, 2005)

Mehr aus dieser Reihe

zurück
Continuous Transformations in Analysis
Buch (kartoniert)
von Tibor Rado, Paul…
Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces
Buch (kartoniert)
von Ivan Singer
Harmonic Analysis on Semi-Simple Lie Groups II
Buch (kartoniert)
von Garth Warner
Algebra
Buch (kartoniert)
von Carl Faith
Classification Theory of Riemann Surfaces
Buch (kartoniert)
von Leo Sario, Mitsu…
vor
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.