He received his laurea in 1896 from the University of Palermo, where he was taught by Giovanni Battista Guccia and Francesco Gerbaldi. De Franchis was appointed in 1905 Professor of Algebra and Analytic Geometry at the University of Cagliari and then in 1906 moved to the University of Parma, where he was appointed professor of Projective and Descriptive Geometry and remained until 1909. From 1909 to 1914 he was a professor at the University of Catania. In 1914, upon the death of Guccia, he was appointed as Guccia's successor in the chair Analytic and Projective Geometry at the University of Palermo.[2]
Among de Franchis's students are Margherita Beloch, Maria Ales, and Antonino Lo Voi.[6]
De Franchis's works (after a few early papers devoted to the classification of linear systems on plane curves) are essentially concerned with the study of irregular surfaces, a central subject for the Italian school, with its many related topics (correspondences on curves, cyclic coverings, bundles of holomorphic forms). ... De Franchis introduced and used implicitly some of the most important tools of modern algebraic geometry, such as characteristic classes and the Albanese map. ... de Franchis's approach for the classification of hyperelliptic surfaces set the pattern for Lefschetz's works on general abelian varieties. Some of de Franchis's results seem to suggest still future extensions which can reveal themselves to be useful for modern algebraic geometry.[1]
^Oscar Chisini (1957): Necrologio, Rend. dei Lincei 1945-55, I pp. 3–7
^"Prize Awards of the Paris Academy of Sciences". Nature. 82 (2097): 293. 6 January 1910.
^Bagnera, G.; De Franchis, M. (1909). "Sopra le equazioni algebriche F(X,Y,Z) = 0 che si lasciano risolvere con X,Y,Z funzioni quadruplamente periodiche di due parametri". In G. Castelnuovo (ed.). Atti del IV Congresso Internazionale dei Matematici (Roma, 6–11 Aprile 1908). Vol. 2. pp. 242–248.
^Bagnera, G.; De Franchis, M. "Intorno alle superficie regolari di genere uno che ammettono una rappresentazione parametrica mediante funzioni iperellitiche di due argomenti". Atti del IV Congresso internazionale dei matematici (Roma, 6–11 Aprile 1908). Vol. 2. pp. 249–256.
michele, franchis, april, 1875, palermo, february, 1946, palermo, italian, mathematician, specializing, algebraic, geometry, known, franchis, theorem, castelnuovo, franchis, theorem, michele, franchisbornapril, 1875palermo, italydiedfebruary, 1946palermo, ital. Michele de Franchis 6 April 1875 Palermo 19 February 1946 Palermo was an Italian mathematician specializing in algebraic geometry 1 He is known for the De Franchis theorem and the Castelnuovo de Franchis theorem Michele de FranchisMichele De FranchisBornApril 6 1875Palermo ItalyDiedFebruary 19 1946Palermo ItalyNationalityItalianAlma materUniversity of PalermoScientific careerFieldsMathematicsInstitutionsUniversity of CagliariUniversity of ParmaUniversity of CataniaHe received his laurea in 1896 from the University of Palermo where he was taught by Giovanni Battista Guccia and Francesco Gerbaldi De Franchis was appointed in 1905 Professor of Algebra and Analytic Geometry at the University of Cagliari and then in 1906 moved to the University of Parma where he was appointed professor of Projective and Descriptive Geometry and remained until 1909 From 1909 to 1914 he was a professor at the University of Catania In 1914 upon the death of Guccia he was appointed as Guccia s successor in the chair Analytic and Projective Geometry at the University of Palermo 2 In 1909 Michele de Franchis and Giuseppe Bagnera were awarded the Prix Bordin of the Academie des Sciences of Paris for their work on hyperelliptic surfaces 3 De Franchis and Bagnera were Invited Speakers at the ICM in 1908 in Rome 4 5 Among de Franchis s students are Margherita Beloch Maria Ales and Antonino Lo Voi 6 De Franchis s works after a few early papers devoted to the classification of linear systems on plane curves are essentially concerned with the study of irregular surfaces a central subject for the Italian school with its many related topics correspondences on curves cyclic coverings bundles of holomorphic forms De Franchis introduced and used implicitly some of the most important tools of modern algebraic geometry such as characteristic classes and the Albanese map de Franchis s approach for the classification of hyperelliptic surfaces set the pattern for Lefschetz s works on general abelian varieties Some of de Franchis s results seem to suggest still future extensions which can reveal themselves to be useful for modern algebraic geometry 1 References edit a b O Connor John J Robertson Edmund F Michele de Franchis MacTutor History of Mathematics Archive University of St Andrews Oscar Chisini 1957 Necrologio Rend dei Lincei 1945 55 I pp 3 7 Prize Awards of the Paris Academy of Sciences Nature 82 2097 293 6 January 1910 Bagnera G De Franchis M 1909 Sopra le equazioni algebriche F X Y Z 0 che si lasciano risolvere con X Y Z funzioni quadruplamente periodiche di due parametri In G Castelnuovo ed Atti del IV Congresso Internazionale dei Matematici Roma 6 11 Aprile 1908 Vol 2 pp 242 248 Bagnera G De Franchis M Intorno alle superficie regolari di genere uno che ammettono una rappresentazione parametrica mediante funzioni iperellitiche di due argomenti Atti del IV Congresso internazionale dei matematici Roma 6 11 Aprile 1908 Vol 2 pp 249 256 Michele De Franchis math unipa itExternal links editIndice del volume dedicato a De Franchis dai Rendiconti del Circolo Matematico di Palermo Bibliography Universita di Padova Retrieved from https en wikipedia org w index php title Michele de Franchis amp oldid 1133156346, wikipedia, wiki, book, books, library,
