Francesco Severi

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Francesco Severi
Born 13 April 1879
Arezzo
Died 8 December 1961(1961-12-08) (aged 82)
Rome
Nationality Italian
Fields Mathematics
Institutions Università di Torino, Università di Bologna, Università di Padova, Università di Roma, Istituto Nazionale di Alta Matematica (now Istituto Nazionale di Alta Matematica Francesco Severi)
Alma mater Università di Torino, 1900
Doctoral advisor Corrado Segre
Other academic advisors Enrico d'Ovidio, Federigo Enriques, Eugenio Bertini
Doctoral students Aldo Andreotti, Enzo Martinelli, Guido Zappa
Other notable students Luigi Fantappiè, Gaetano Fichera
Known for Algebraic geometry, several complex variables
Influenced Algebraic geometry, several complex variables
Notable awards Gold medal of the Accademia Nazionale delle Scienze detta dei XL (1906)
Prix Bordin (1907) (jointly with Federigo Enriques)
Guccia Medal (1908)
"Premio reale" of the Accademia Nazionale dei Lincei (1913)
Francesco Severi (photo by Konrad Jacobs)

Francesco Severi (13 April 1879 – 8 December 1961) was an Italian mathematician.

Severi was born in Arezzo, Italy. He is famous for his contributions to algebraic geometry and the theory of functions of several complex variables. He became the effective leader of the Italian school of algebraic geometry. Together with Federigo Enriques, he won the Bordin prize from the French Academy of Sciences.

He contributed in a major way to birational geometry, the theory of algebraic surfaces, in particular of the curves lying on them, the theory of moduli spaces and the theory of functions of several complex variables. He wrote prolifically, and some of his work has subsequently been shown to be not rigorous according to the then new standards set in particular by Oscar Zariski and David Mumford. At the personal level, according to Roth (1963) he was easily offended, and he was involved in a number of controversies. He died in Rome of cancer.

Selected publications

  • Severi, Francesco (2 March 1931), "Sur une propriété fondamentale des fonctions analytiques de plusieurs variables", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) 192: 596–599, Zbl 0001.14802 , available at Gallica. The paper containing the first proof of Morera's theorem for holomorphic functions of several variables.
  • Severi, Francesco (1931a), "Risoluzione del problema generale di Dirichlet per le funzioni biarmoniche", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 6, (in Italian) 13: 795–804, JFM 57.0393.01, Zbl 0002.34202 . The announce of the solution of the Dirichlet problem for pluriharmonic functions for domains with real analytic boundaries. The English translation of the title reads as:-"Solution of the general Dirichlet problem for biharmonic functions".
  • Severi, Francesco (1932), "Una proprietà fondamentale dei campi di olomorfismo di una funzione analitica di una variabile reale e di una variabile complessa", Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 6, (in Italian) 15: 487–490, JFM 58.0352.05, Zbl 0004.40702 . The English translation of the title reads as:-"A fundamental property of the domain of holomorphy of an analytic function of one real variable and one complex variable". In this paper Severi describes the "passage from real to complex" method he developed in order to deal with several problems in the theory of functions of several complex variables.
  • Severi, Francesco (1942–1943), "A proposito d'un teorema di Hartogs", Commentarii Mathematici Helvetici (in Italian) 15 (1): 350–352, doi:10.5169/seals-14897, MR 0010730, Zbl 0028.15301  , available at the SEALS Portal. The English translation of the title reads as:-"About a theorem of Hartogs". In this work Severi gives his proof of the Hartogs' extension theorem.
  • Severi, Francesco (1958), Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in Roma (in Italian), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, pp. XIV+255, Zbl 0094.28002 . Notes from a course held by Francesco Severi at the Istituto Nazionale di Alta Matematica (which at present bears his name), containing appendices of Enzo Martinelli, Giovanni Battista Rizza and Mario Benedicty. An English translation of the title reads as:-"Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome".
  • Severi, Francesco (1971), Opere matematiche. Memorie e note Vol. I (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), pp. XLII+491, MR 0701703, Zbl 0582.01027 .His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume I collects works published from 1900 to 1908.
  • Severi, Francesco (1974), Opere matematiche. Memorie e note Vol. II (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 567, MR 0701702, Zbl 0582.01027 . His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume II collects works published from 1909 to 1917.
  • Severi, Francesco (1977), Opere matematiche. Memorie e note Vol. III (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 603, MR 0701700, Zbl 0582.01027 . His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume III collects works published from 1918 to 1932.
  • Severi, Francesco (1980), Opere matematiche. Memorie e note Vol. IV (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 603, MR 0701701, Zbl 0582.01027 . His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume IV collects works published from 1933 to 1941.
  • Severi, Francesco (1988), Opere matematiche. Memorie e note Vol. V (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 553, MR 1030994 . His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume V collects works published from 1942 to 1948.
  • Severi, Francesco (1989), Opere matematiche. Memorie e note Vol. VI (in various languages), Roma: Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 499, MR 1030995 . His "Mathematical works, Memoirs and Notes": a collection of Francesco Severi's main scientific contribution with the exception of his published books, in a revised typographical form, both amending typographical errors and author's oversights and also adding the author's remarks to some papers. Volume VI collects works published from 1949 to 1961.

Articles on Scientia

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Biographical references

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