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Zbl 0616.32001
Andreotti, Aldo
Étude de géométrie algébrique. (The study of algebraic geometry). (French)
[B] 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 2000:: *32-01 Textbooks (several complex variables)
32Q99 Complex manifolds
14H25 Arithmetic ground fields (curves)
32C37 Duality theorems (analytic spaces)
32H35 Proper mappings, etc.
14C40 Riemann-Roch theorems

Keywords: algebraic geometry; Riemann-Roch for compact complex manifolds; pseudo- concave manifolds; duality; finiteness; cohomology; Levi problem

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