Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Šafarevič, Igorʹ Rostislavovič (1923-2017)
Titre(s) : Basic Algebraic Geometry 2 [Texte électronique] : Schemes and Complex Manifolds / by Igor R. Shafarevich
Édition : 3rd ed. 2013
Publication : Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books : Imprint: Springer,
2013
Description matérielle : 1 online resource
Note(s) : Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction
to the subject since its first appearance over 40 years ago. As the translator writes
in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students,
and for the many specialists in other branches of math who need a liberal education
in algebraic geometry, Shafarevich's book is a must.'' The second volume is in two
parts: Book II is a gentle cultural introduction to scheme theory, with the first
aim of putting abstract algebraic varieties on a firm foundation; a second aim is
to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for
other geometric constructions. Book III discusses complex manifolds and their relation
with algebraic varieties, Kähler geometry and Hodge theory. The final section raises
an important problem in uniformising higher dimensional varieties that has been widely
studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2
and its minimal prerequisites make it to a large extent independent of Basic Algebraic
Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical
physics
Autre(s) auteur(s) : Reid, Miles (1948-....). Fonction indéterminée
Sujet(s) : Géométrie algébrique
Indice(s) Dewey :
516.35 (23e éd.) = Géométrie algébrique
Identifiants, prix et caractéristiques : ISBN 9783642380105
Voir aussi : Publication alternative dans un autre support/format : Basic algebraic geometry [Texte imprimé],
ISBN 3-540-54812-2
Identifiant de la notice : ark:/12148/cb447070258
Notice n° :
FRBNF44707025
(notice reprise d'un réservoir extérieur)