SHAFAREVICH MAPS AND AUTOMORPHIC FORMS.

Kollar, Janos

ISBN 10: 0691043817 / ISBN 13: 9780691043814

Edité par PRINCETON: Princeton Univ. Pr. c. 1995., 1995

A propos de cet article

Fine, unmarked Hardbackk; DJ-VG+. 199 pp.

N° de réf. du vendeur 024002

Détails bibliographiques

• Titre: SHAFAREVICH MAPS AND AUTOMORPHIC FORMS.
• Éditeur: PRINCETON: Princeton Univ. Pr. c. 1995.
• Date de parution: 1995
• Langue: anglais
• ISBN à 10 chiffres: 0691043817
• ISBN à 13 chiffres: 9780691043814
• Reliure: Couverture rigide
• État de la jaquette: Jaquette

A propos de ce titre

Synopsis

This text studies various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps and topology. Making systematic use of Shafarevich maps, this work isolates those varieties where the fundamental group influences global properties of the canonical class. The book is primarily geared towards researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as well - such as Abelian varieties, theta functions and automorphic forms on bounded domains.

Présentation de l'éditeur

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previously introduced by the author, this work isolates those varieties where the fundamental group influences global properties of the canonical class. The book is primarily geared toward researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as well--such as Abelian varieties, theta functions, and automorphic forms on bounded domains. The methods are drawn from diverse sources, including Atiyah's L2 -index theorem, Gromov's theory of Poincaré series, and recent generalizations of Kodaira's vanishing theorem. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.