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

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*Günter Harder*

A publication of Vieweg+Teubner

This second volume introduces the concept of schemes, 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 explores further developments—for
instance, étale cohomology—and states some fundamental
theorems.

A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

#### Readership

Graduate students and research mathematicians interested in algebraic geometry.