Alberto Tognoli (born 26 July 1937, Brescia, died 3 March 2008 in Rapallo) was an Italian mathematician, who worked on algebraic geometry.
Tognoli received his Ph.D. (Laurea) in 1960 from the University of Pisa. From 1970 he became full professor at the same university, and he also taught in Cosenza, Ferrara, Paris and Tours. He was also a professor of geometry at the University of Trento from 1986 until his retirement as professor emeritus in 2005.[1]
He is known for his research on Nash functions and Nash manifolds (named after John Nash). He proved Nash's conjecture that smooth compact manifolds are diffeomorphic to non-singular real algebraic manifolds (known as the Theorem of Nash and Tognoli).[2]
He received in 1974 the Caccioppoli Prize and in 1988 the Gold Medal in Mathematics of the Accademia dei XL.
Selected publications
Algebraic Geometry and Nash Functions, Institutiones Mathematicae, Academic Press 1978
as editor with M. Galbiati: Real analytic and algebraic geometry : proceedings of the conference held in Trento, Italy, October 3–7, 1988, Lecture Notes in Mathematics 1420, Springer Verlag 1990
Singularities of Analytic Spaces, CIME, Rom: Cremonese 1975
Introduzione alla teoria degli spazi analitici reali, Rom, Accademia dei Lincei 1976
Algebraic approximation of manifolds and spaces, Seminaire Bourbaki, No. 548, 1979/80, numdam
Tognoli, Alberto (1988). "Analyticity of homology classes". Proc. Amer. Math. Soc. 104 (3): 920–922. doi:10.1090/s0002-9939-1988-0964874-2. MR 0964874.
with Alessandro Tancredi: Tancredi, Alessandro; Tognoli, Alberto (2006). "On the products of Nash subvarieties by spheres". Proc. Amer. Math. Soc. 134 (4): 983–987. doi:10.1090/S0002-9939-05-08246-8. MR 2196028.
^UNITN, In ricordo di Alberto Tognoli
^Tognoli, A. (1973). "Su una congettura di Nash". Ann. Scuola Norm. Sup. Pisa. 27: 167–185.
AlbertoTognoli (born 26 July 1937, Brescia, died 3 March 2008 in Rapallo) was an Italian mathematician, who worked on algebraic geometry. Tognoli received...
Tognoli is an Italian surname. Notable people with this surname include the following: AlbertoTognoli (1937–2008), Italian mathematician Carlo Tognoli...
polynomials. 1972 Vladimir Rokhlin proved Gudkov's conjecture. 1973 AlbertoTognoli proved that every closed smooth manifold is diffeomorphic to a nonsingular...
possibly with boundary. Nash's result was later (1973) completed by AlbertoTognoli who proved that any compact smooth manifold is diffeomorphic to some...
resolution of singularities", in Fabrizio Broglia; Margherita Galbiati; AlbertoTognoli (eds.), Real Analytic and Algebraic Geometry: Proceedings of the International...
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Italian jazz trio with Sante Palumbo and Tito Fontana at the piano and Luigi Tognoli at the sax tenor. The cover design is realized by Gisella Giovenco; the...
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to go about selling cocaine. The answer was that he should bribe Hugo Tognoli, the highest ranking police officer in the province of Santa Fe. Laura...
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