ISBN: 9780821808627

Then, sheaves are introduced and studied, using as few prerequisites as possible. Série: Translations of Mathematical Monographs. Format: Poche. Sujet: Anglais. EAN: 9780821808627. Année … Mehr…

Then, sheaves are introduced and studied, using as few prerequisites as possible. Série: Translations of Mathematical Monographs. Format: Poche. Sujet: Anglais. EAN: 9780821808627. Année de publication: 1999. Détails de l?annonceTitre: Algebraic Geometry 1, Volume 1Condition: NeufSous titres: From Algebraic Varieties to SchemesFormat: PocheEAN: 9780821808627ISBN: 9780821808627Publisher: American Mathematical SocietyGenre: Science Nature & MathDate de publication: 1999-09-30Description: This is the first of three volumes on algebraic geometry. The second volume, ""Algebraic Geometry 2: Sheaves and Cohomology"", is available from the AMS as Volume 197 in the ""Translations of Mathematical Monographs"" series. Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them.Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring.By studying algebraic varieties over a field, Ueno demonstrates how the notion of schemes is necessary in algebraic geometry. This first volume gives a definition of schemes and describes some of their elementary properties. It is then possible, with only a little additional work, to discover their usefulness. Further properties of schemes will be discussed in the second volume. Ueno's book is a self-contained introduction to this important circle of ideas, assuming only a knowledge of basic notions from abstract algebra (such as prime ideals). It is suitable as a text for an introductory course on algebraic geometry.Sujet: AnglaisPays/Région de fabrication: USPoids: 220gSérie: Translations of Mathematical MonographsAuteur: No AuthorAnnée de publication: 1999 Information manquante?Veuillez nous contacter pour toute information manquante, nous l?ajouterions volontiers dans notre description., Festpreisangebot, [LT: FixedPrice], Title: Algebraic Geometry 1, Volume 1, Titre: Algebraic Geometry 1, Volume 1, Sous titres: From Algebraic Varieties to Schemes, Genre: Science Nature & Math, Date de publication: 1999-09-30, Pays/Région de fabrication: US, Poids: 220g, Auteur: No Author, American Mathematical Society<

1999, ISBN: 9780821808627

From Algebraic Varieties to Schemes, Buch, Softcover, [PU: American Mathematical Society], American Mathematical Society, 1999