000 02399nam a22003975i 4500
001 978-3-8348-8159-5
003 DE-He213
005 20140220083819.0
007 cr nn 008mamaa
008 110421s2011 gw | s |||| 0|eng d
020 _a9783834881595
_9978-3-8348-8159-5
024 7 _a10.1007/978-3-8348-8159-5
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aHarder, Günter.
_eauthor.
245 1 0 _aLectures on Algebraic Geometry II
_h[electronic resource] :
_bBasic Concepts, Coherent Cohomology, Curves and their Jacobians /
_cby Günter Harder.
264 1 _aWiesbaden :
_bVieweg+Teubner,
_c2011.
300 _aXIII, 365p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aIn this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given. The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity. Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians. Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.
650 0 _aMathematics.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783834804327
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-8348-8159-5
912 _aZDB-2-SMA
999 _c108729
_d108729