03721nam 22006735 450 991043803350332120231123140620.03-642-38010-710.1007/978-3-642-38010-5(CKB)3710000000015856(EBL)1398296(SSID)ssj0000988048(PQKBManifestationID)11621605(PQKBTitleCode)TC0000988048(PQKBWorkID)10950201(PQKB)11597519(DE-He213)978-3-642-38010-5(MiAaPQ)EBC6315462(MiAaPQ)EBC1398296(Au-PeEL)EBL1398296(CaPaEBR)ebr10969115(OCoLC)922907020(PPN)172426731(EXLCZ)99371000000001585620130830d2013 u| 0engur|n|---|||||txtccrBasic Algebraic Geometry 2 Schemes and Complex Manifolds /by Igor R. Shafarevich3rd ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (271 p.)Description based upon print version of record.3-642-38009-3 Includes bibliographical references and index.Preface -- Book 1. Varieties in Projective Space: Chapter I. Basic Notions -- Chapter II. Local Properties -- Chapter III. Divisors and Differential Forms -- Chapter IV. Intersection Numbers -- Algebraic Appendix -- References -- Index.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.Algebraic geometryMathematical physicsGeometria algebraicathubAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Llibres electrònicsthubAlgebraic geometry.Mathematical physics.Geometria algebraicaAlgebraic Geometry.Theoretical, Mathematical and Computational Physics.516.35Shafarevich Igor Rauthttp://id.loc.gov/vocabulary/relators/aut730610MiAaPQMiAaPQMiAaPQBOOK9910438033503321Basic Algebraic Geometry 22522997UNINA