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Albanese variety - Wikipedia, the free encyclopedia (274 words) |
 | In mathematics, the Albanese variety is a construction of algebraic geometry, which for an algebraic variety V solves a universal problem for morphisms of V into abelian varieties. |
 | The Albanese variety generalises the construction of the Jacobian variety of an algebraic curve; and was introduced to study algebraic surfaces. |
 | The duality theory of abelian varieties is used to pass from the Picard variety, which is constructed as a representable functor, to the Albanese. |
| Albanese (277 words) |
 | Giacomo Albanese studied at the Institute of Physics in Palermo, graduating in 1903. |
 | Albanese left Padua still in the year 1920 to take up a professorship in analysis and algebra at the Naval Academy in Livorno. |
 | Albanese's research involved examining curves on algebraic surfaces and the genus of an algebraic variety. |