Federigo Enriques

Federigo Enriques (January 5th 1871 - June 14th 1946) was an Italian mathematician, especially known today for its birationnelle classification of algebraic surfaces and for other contributions to the algebraic Géométrie.

Biography

Federigo Enriques was born with Leghorn and grew with Pisa, in an Jewish family of Portuguese origin. It was student of Guido Castelnuovo, then became a major member of the Italian school of algebraic geometry. He also worked in differential Géométrie. He collaborated with Castelnuovo, Corrado Segre and Francesco Severi. He was professor with the Université of Bologna, then with the Université of Rome “Sapienza” until his ousting in 1938, by anti-semitism of the fascistic administration.

Classification by Enriques of algebraic surfaces except for birationnelle equivalence, arranges them in five principal classes. It was used as a basis for later work, until good progresses by Kodaira in the years 1950. More the big class, in a certain direction, is that of surfaces of the general type: those for which the differential forms provide linear systems which are enough to make visible all the geometry. The work of the Italian school had made it possible to also recognize the other classes of equivalence. Rational surfaces, and more generally regulated surfaces (which include/understand the quadric ones and the cubic ones in the projective space of dimension 3) are simplest from the geometrical point of view.

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