Ruggiero Torelli
Ruggiero Torelli (born June 7, 1884 in Naples , † September 9, 1915 in Monfalcone ) was an Italian mathematician .
life and work
He was the son of the mathematician Gabriele Torelli , with whom he studied in Naples. He obtained his Laureate degree from the University of Pisa in 1904. He was also assistant to Eugenio Bertini in Pisa and Francesco Severi in Parma and Padua. Torelli was a lecturer in geometry in Pisa from 1909. He fell in the First World War - more precisely, he died of a heart attack during the stage, possibly because he hid his health in order to remain at the front as a volunteer.
He is known for Torelli's theorem, which states that a compact Riemann surface (corresponding to a non-singular algebraic curve in projective space) is given by its Jacobi variety (an Abelian variety), or in other words, that an algebraic curve over the complex numbers is determined by their periods. Torelli proved this for algebraic curves over complex numbers, but it is also true over algebraically closed fields. Generalized Torelli-type theorems (which investigate the extent to which an algebraic variety is fixed by an associated other variety) are studied to date.
literature
- F. Severi, Boll. di bibliografia e storia delle scienze mat., 18, 1916, 11-21
- Guido Castelnuovo , Rend. del Sem. Mat. dell Univ. di Roma 1918, 17-20
Fonts
- Collected Papers, edited by Ciro Ciliberto , Paulo Ribenboim , Edoardo Sernesi , Kingston (Ontario), Queen's University Press 1995
Web links
- Torelli Ruggiero treccani.it
- biography
- Biography of Tricomi, Italian
- Literature by and about Ruggiero Torelli in the bibliographic database WorldCat
Individual evidence
- ^ Valentine Kulikov, Torelli Theorems, Encyclopedia of Mathematics
- ↑ Torelli Sulle varietà di Jacobi , Rend. della R. Acc. Nazionale dei Lincei, (5), 22, 1913, 98-103
| personal data | |
|---|---|
| SURNAME | Torelli, Ruggiero |
| BRIEF DESCRIPTION | Italian mathematician |
| DATE OF BIRTH | June 7, 1884 |
| PLACE OF BIRTH | Naples |
| DATE OF DEATH | September 9, 1915 |
| Place of death | Monfalcone |