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Lectures on Algebraic Geometry II
Günter Harder
其他書名
Basic Concepts, Coherent Cohomology, Curves and their Jacobians
出版Vieweg+Teubner Verlag, 2014-10-12
主題Mathematics / Geometry / AlgebraicMathematics / Algebra / General
ISBN38348268639783834826862
URLhttp://books.google.com.hk/books?id=rBDZoQEACAAJ&hl=&source=gbs_api
註釋This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.
Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.