03787nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072002300203072001600226082001500242100008000257245007000337250001800407264006700425300003400492336002600526337002600552338003600578347002400614490005200638505075800690520114901448650002402597650010002621710003402721773002602755776003602781776003602817776003602853776003602889830005202925856004602977912001403023912001503037912001403052950005403066950005903120999001503179952007503194978-1-4757-3849-0DE-He21320210602114659.0cr nn 008mamaa130220s1977 xxu| s |||| 0|eng d a97814757384909978-1-4757-3849-07 a10.1007/978-1-4757-3849-02doi 4aQA564-609 7aPBMW2bicssc 7aMAT0120102bisacsh 7aPBMW2thema04a516.352231 aHartshorne, Robin.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aAlgebraic Geometryh[electronic resource] /cby Robin Hartshorne. a1st ed. 1977. 1aNew York, NY :bSpringer New York :bImprint: Springer,c1977. aXVI, 496 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aGraduate Texts in Mathematics,x0072-5285 ;v520 aI Varieties -- II Schemes -- III Cohomology -- IV Curves -- V Surfaces -- Appendix A Intersection Theory -- 1 Intersection Theory -- 2 Properties of the Chow Ring -- 3 Chern Classes -- 4 The Riemann-Roch Theorem -- 5 Complements and Generalizations -- Appendix B Transcendental Methods -- 1 The Associated Complex Analytic Space -- 2 Comparison of the Algebraic and Analytic Categories -- 3 When is a Compact Complex Manifold Algebraic? -- 4 Kähler Manifolds -- 5 The Exponential Sequence -- Appendix C The Weil Conjectures -- 1 The Zeta Function and the Weil Conjectures -- 2 History of Work on the Weil Conjectures -- 3 The /-adic Cohomology -- 4 Cohomological Interpretation of the Weil Conjectures -- Results from Algebra -- Glossary of Notations. aRobin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi. 0aAlgebraic geometry.14aAlgebraic Geometry.0https://scigraph.springernature.com/ontologies/product-market-codes/M110192 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978144192807808iPrinted edition:z978038790244908iPrinted edition:z978147573850608iPrinted edition:z9781493970803 0aGraduate Texts in Mathematics,x0072-5285 ;v5240uhttps://doi.org/10.1007/978-1-4757-3849-0 aZDB-2-SMA aZDB-2-SXMS aZDB-2-BAE aMathematics and Statistics (SpringerNature-11649) aMathematics and Statistics (R0) (SpringerNature-43713) c9429d9429 00104070928727aMAINbMAINd2021-06-02r2021-06-02w2021-06-02yEBK