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Étude de géométrie algébrique. (The study of algebraic geometry). (French) Zbl 0616.32001
Strasbourg: Université Louis Pasteur, Département de Mathématique, Institut de Recherche Mathématique Avancée. 340 p. (1978).
These notes reflect the lectures of a course on algebraic geometry given by the author in Strasbourg during 1976-1977. The contents include the theorem of Riemann-Roch for compact complex manifolds of dimension n, the theory of pseudo-concave manifolds, the duality theorem of Serre and finiteness theorems concerning cohomology. (As an application the solution of the Levi problem is given).
MSC:
32-01Textbooks (several complex variables)
32Q99Complex manifolds
14H25Arithmetic ground fields (curves)
32C37Duality theorems (analytic spaces)
32H35Proper mappings, finiteness theorems
14C40Riemann-Roch theorems