Vieweg Aspects of Mathematics 2011; 365 pp; hardcover Volume: 41 ISBN10: 3834804320 ISBN13: 9783834804327 List Price: US$89.95 Member Price: US$80.95 Order Code: VWAM/41
 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 developmentsfor instance, étale cohomologyand 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. Table of Contents  Basic concepts of the theory of schemes
 Some commutative algebra
 Projective schemes
 Curves and the theorem of RiemannRoch
 The Picard functor for curves and Jacobians
