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Manual Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians

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Algebraic geometry. 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.

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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. Simply link your Qantas Frequent Flyer membership number to your Booktopia account and earn points on eligible orders.

Either by signing into your account or linking your membership details before your order is placed. Your points will be added to your account once your order is shipped. Click on the cover image above to read some pages of this book! 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 etale cohomology- and states some fundamental theorems.

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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Undergraduate Algebra. Lang, Serge. Finite-Dimensional Vector Spaces. Halmos, Paul R. Paul Richard. Calculus of Several Variables. Mathematical Analysis I. Zorich, Vladimir A. Vladimir Antonovich. Mathematical Analysis II. Introduction to Mathematical Statistics. Hogg, Robert V.


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    Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians

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