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100   $a20130830d2013      u|         0
101 0 $aeng
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181   $ctxt
182   $cc
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200 10$aBasic Algebraic Geometry 2 $eSchemes and Complex Manifolds /$fby Igor R. Shafarevich
205   $a3rd ed. 2013.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013.
215   $a1 online resource (271 p.)
300   $aDescription based upon print version of record.
311 08$a3-642-38009-3 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $aShafarevich'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.
606   $aGeometry, Algebraic
606   $aMathematical physics
606   $aGeometria algebraica$2thub
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
608   $aLlibres electrònics$2thub
615  0$aGeometry, Algebraic.
615  0$aMathematical physics.
615  7$aGeometria algebraica
615 14$aAlgebraic Geometry.
615 24$aTheoretical, Mathematical and Computational Physics.
676   $a516.35
700   $aShafarevich$b Igor R$4aut$4http://id.loc.gov/vocabulary/relators/aut$0730610
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910438033503321
996   $aBasic Algebraic Geometry 2$92522997
997   $aUNINA