Francesco Severi (13 April 1879 – 8 December 1961) was an Italianmathematician. He was the chair of the committee onFields Medal in 1936, at the first delivery.
He contributed in a major way tobirational geometry, the theory ofalgebraic surfaces, in particular of the curves lying on them, the theory ofmoduli spaces and thetheory of functions of several complex variables. He wrote prolifically, and some of his work (following the intuition-led approach ofFederigo Enriques) has subsequently been shown to be not rigorous according to the then new standards set in particular byOscar Zariski andAndré Weil. Although many of his arguments have since been made rigorous, a significant fraction were not only lacking in rigor but also wrong (in contrast to the work of Enriques, which though not rigorous was almost entirely correct). At the personal level, according toRoth (1963) he was easily offended, and he was involved in a number of controversies. Most notably, he was a staunch supporter of the Italian fascist regime ofBenito Mussolini and was included on a committee of academics that was to conduct an anti-semitic purge of all scholarly societies and academic institutions.[1]
His childhood was marked by the death of his father, which occurred when he was 9 years old. This had serious economic repercussions on their family. Although he had to earn a living while conducting private lessons, Francesco Severi managed to continue his studies and enroll in the engineering course at theUniversity of Turin. Due to the influence of courses byCorrado Segre, Severi quickly found a passion for pure mathematics.
In 1900, he completed his training with a thesis in thegeometry of numbers, which would later become his favorite subject.
In 1904, in consideration of the results he obtained in the geometry of numbers (founding the theory ofbirational invariants ofalgebraic surfaces), he obtained the chair of projective and descriptive geometry at theUniversity of Parma. However, he spent a year at theUniversity of Padua. where, he teaches different subjects, and takes the direction of the engineering unit.
In 1906, he obtained a theorem of existence of algebraic curves drawn on certain types of surfaces, thus beginning the search for the classification ofrational surfaces.[2]
Mobilized duringWorld War I, Severi enlisted in the artillery.
In 1923, he was elected rector of this university. But in 1925, followingthe assassination of the socialist politicianMatteotti, he gave up his duties as rector. Nevertheless, Severi would remain without reaction againstfascism and would accept the application of theracial laws.
In 1959, he converted to Catholicism and published his autobiographyDalla scienza alla fede (1959), he repents of his lack of political discernment
Mathematics is the art of giving the same name to various things, and mathematicians often make mistakes in politics, because it is, conversely, the art of giving different names to identical things.
During his career, Severi received numerous awards, including the Gold Medal of the National Academy of Sciences and, together with Federigo Enriques, the Bordin Prize of the Paris Academy of Sciences (this award, created in 1835 by Charles-Laurent Bordin is a biennial prize awarded to authors of works on subjects of public interest).
His scientific production includes more than 400 publications and numerous treatises. All the mathematical works of Francesco Severi, except all books, are collected in the six volumes of his "Opere Matematiche".
Severi, Francesco (1931a), "Risoluzione del problema generale di Dirichlet per le funzioni biarmoniche" [Solution of the general Dirichlet problem for biharmonic functions],Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 6 (in Italian),13:795–804,JFM57.0393.01,Zbl0002.34202. The announce of the solution of theDirichlet problem forpluriharmonic functions fordomains withreal analyticboundaries.
Severi, Francesco (1932), "Una proprietà fondamentale dei campi di olomorfismo di una funzione analitica di una variabile reale e di una variabile complessa" [A fundamental property of the domain of holomorphy of an analytic function of one real variable and one complex variable],Rendiconti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, series 6 (in Italian),15:487–490,JFM58.0352.05,Zbl0004.40702. In this paper Severi describes the "passage from real to complex" method he developed in order to deal with several problems in thetheory of functions of several complex variables.
Severi, Francesco (1958),Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in Roma [Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome] (in Italian), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, pp. XIV+255,Zbl0094.28002. Notes from a course held by Francesco Severi at theIstituto Nazionale di Alta Matematica (which at present bears his name), containing appendices of Enzo Martinelli,Giovanni Battista Rizza andMario Benedicty.
Severi, Francesco (1971),Opere matematiche. Memorie e note Vol. I(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), pp. XLII+491,MR0701703,Zbl0582.01027 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume I collects works published from 1900 to 1908.
Severi, Francesco (1974),Opere matematiche. Memorie e note Vol. II(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 567,MR0701702,Zbl0582.01027 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume II collects works published from 1909 to 1917.
Severi, Francesco (1977),Opere matematiche. Memorie e note Vol. III(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 603,MR0701700,Zbl0582.01027 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume III collects works published from 1918 to 1932.
Severi, Francesco (1980),Opere matematiche. Memorie e note Vol. IV(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 603,MR0701701,Zbl0582.01027 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume IV collects works published from 1933 to 1941.
Severi, Francesco (1988),Opere matematiche. Memorie e note Vol. V(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 553,MR1030994 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume V collects works published from 1942 to 1948.
Severi, Francesco (1989),Opere matematiche. Memorie e note Vol. VI(PDF) (in Italian), Roma:Accademia Nazionale dei Lincei (distributed by Bardi Editore), p. 499,MR1030995 (available from the "Edizione Nazionale Mathematica Italiana"). His "Mathematical works, Memoirs and Notes": the complete collection, with the exception of books, of Francesco Severi's scientific contributions. The reprinted works, written in Italian, French, German, retain their original language in an improved typographical form amended from typographical errors and author's oversights: also, a comment of Severi was added to several papers. Volume VI collects works published from 1949 to 1961.
Accademia Nazionale dei Lincei (2012),Annuario dell'Accademia Nazionale dei Lincei 2012 – CDX dalla Sua Fondazione(PDF) (in Italian), Roma: Accademia Nazionale dei Lincei, p. 734, archived fromthe original(PDF) on 2016-03-04, retrieved2016-05-15. The "Yearbook" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of information about its academic and scientific activities.
Accademia delle Scienze di Torino, ed. (1982), "Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi. Torino, 8–10 Ottobre 1979",Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali,115 (Supplemento), Torino:Accademia delle Scienze di Torino: 243. The "Proceedings of the mathematical conference for the celebration of the centenary of the birth of Guido Fubini and Francesco Severi", including several research as well as historical papers describing the contributions of Guido Fubini and Fracesco Severi to various branches of pure and applied mathematics: the conference was held on 8–10 October 1979 at the Accademia delle Scienze di Torino.
Fichera, Gaetano (1982), "I contributi di Guido Fubini e di Francesco Severi alla teoria delle funzioni di più variabili complesse",Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi. Torino, 8–10 Ottobre 1979,Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali, vol. 115, Torino:Accademia delle Scienze di Torino, pp. 23–44,MR0727484,Zbl0531.32001. In the paper "The contributions of Guido Fubini and Francesco Severi to the theory of functions of several complex variables" (English translation of the title), Gaetano Fichera describes the main contributions of the two scientists to theCauchy and theDirichlet problem for holomorphic functions of several complex variables, as well as the impact of their work on subsequent researches.
Fichera, Gaetano (1991), "I teoremi di Severi e Severi-Kneser per le funzioni analitiche più variabili complesse e loro ulteriori sviluppi",Recenti sviluppi in analisi matematica e sue applicazioni. Atti del convegno internazionale dedicato al Prof. G. Aquaro in occasione del suo 70º compleanno,Conferenze del Seminario di Matematica dell'Università di Bari, vol. 237–244, Bari:Laterza, pp. 13–25,MR1185553,Zbl0836.32001. "The Severi and Severi–Kneser theorems for analytic functions of several complex variables and their further developments" (English translation of the title) is an historical survey paper on theCauchy and theDirichlet problem for holomorphic functions of several complex variables, updating the earlier work (Fichera 1982).
Fichera, Gaetano (1995), "Tre battaglie perdute da tre grandi matematici italiani",Atti del convegno di studi in memoria di Giuseppe Gemignani. Modena, 20 maggio 1994, Collana di Studi dell'Accademia (in Italian), vol. 11,Modena: Enrico Mucchi Editore on behalf of theAccademia Nazionale di Scienze, Lettere e Arti di Modena, pp. 9–28,MR1385469. This paper, included in the Proceedings of the Study Meeting in Memory of Giuseppe Gemignani, is an account of the failures ofVito Volterra,Leonida Tonelli and Francesco Severi, when dealing with particular research problems during their career. An English translation of the title reads as:-"Three battles lost by three great Italian mathematicians".
Giuntini, S.,Francesco Severi, Matematici italiani (biografie) (in Italian), archived fromthe original on July 27, 2011, retrievedJune 27, 2010: a shortrésumé of his life available at the "".
