000			02411nam a22004217a 4500
003			OSt
005			20240509103316.0
008			240508b |||||||| |||| 00| 0 hin d
020			_a9783834818447
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a512.7 _bHAR-L
100			_aHarder, Gunter
245			_aLectures on algebraic geometry I : _bsheaves, cohomology of sheaves, and applications to riemann surfaces
250			_a2nd rev ed.
260			_aWiesbaden : _bVieweg+Teubner Verlag, _c2011.
300			_axiii, 299p.
490			_a Aspects of mathematics. E ; _vv. 35.
504			_aIncludes bibliographical references and index.
520			_aThis book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
650			_a Geometry, Algebraic
650			_aAlgebraic topology
650			_aSheaf theory
650			_aRiemann surfaces
650			_aSurfaces, Riemann
650			_aSheaf cohomology
650			_aSheaves (Algebraic topology)
650			_aAlgebraische Geometrie
650			_aGarbe (Math.)
650			_aHomologische Algebra
650			_aKohomologie
650			_aKommutative Algebra
650			_aKomplexe Analysis
856			_3Table of contents _uhttps://link.springer.com/book/10.1007/978-3-8348-8330-8#toc
856			_3Reviews _uhttps://www.goodreads.com/book/show/14659238-lectures-on-algebraic-geometry-i?from_search=true&from_srp=true&qid=dkGFt9wf6K&rank=1#CommunityReviews
856			_3Electronic Version _uhttps://link.springer.com/book/10.1007/978-3-8348-8330-8#about-book-reviews
942			_cBK _2udc
999			_c34985 _d34985