Aldo Andreotti

Aldo Andreotti ( born March 15, 1924 in Florence, † February 21, 1980 in Pisa ) was an Italian mathematician who worked on algebraic geometry, complex analysis and partial differential equations.

Life

Andreotti studied from 1942 at the Scuola Normale Superiore in Pisa and continued his studies in Switzerland at Beno Eckmann and Georges de Rham continued. In 1947 he received his degree in Pisa ( Laurea ) with a thesis on conformal representations. After that he was in Rome as an assistant to Francesco Severi. After a short time at the Institute for Advanced Study in Princeton, where he worked with Solomon Lefschetz and Carl Ludwig Siegel, 1951, he was professor of geometry in Turin and 1956 in Pisa. He was visiting professor at various universities, including 1957-1959 at the Institute for Advanced Study.

He is known for work in algebraic geometry, including for his proof of the theorem of Torelli (On a theorem of Torelli. Bd.80 American Journal of Mathematics, 1958, S.801 -828 ). He proved the duality of the Picard and Albanese varieties of an algebraic surface, worked with A. Mayer on the Schottky problem and with T. Fraenkel on Lefschetz theorems for sections of hypersurfaces. He also classified the surfaces contained in an abelian variety. He is also known for working with, among others, William Stoll, Hans Grauert, Edoardo Vesentini, R. Narasimhan and François Norguet in complex analysis.

Since 1968 he was a member of the Accademia dei Lincei. He was an honorary doctorate from the University of Nice and received the Feltrinelli Prize in 1971. He was invited speaker at the International Congress of Mathematicians in Stockholm 1962 ( Complex pseudoconcave spaces and automorphic functions) and in Nice, 1970 ( EE Levi convexity and Hans Lewy problem).

Writings

  • Nine lectures on complex analysis. Edizioni Cremonese 1973.
  • Etude de géométrie algébrique. IRMA, Strasbourg 1979.
  • Complexes of partial differential operators. Yale Mathematical Monographs 1975.
  • With W. Stoll: Analytic and algebraic dependence of meromorphic functions. Lecture Notes in Mathematics, Bd.234, Springer-Verlag, 1971.
  • Andreotti Grauert: Théorèmes de finitude pour la cohomology of espaces complexes. Bulletin de la Société Mathématique de France, Vol 90, 1962, pp. 193-259.
  • Selecta di opere di Aldo Andreotti, 2 volumes, Scuola Normale Superiore, Pisa 1982
Mathematical analysis Scuola Normale Superiore di Pisa Princeton (New Jersey) Raghavan Narasimhan
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