201. Néron–Severi group of a general hypersurface
- Author
-
Davide Franco, Vincenzo Di Gennaro, Di Gennaro, Vincenzo, and Franco, Davide
- Subjects
Pure mathematics ,General Mathematics ,Picard group ,Space (mathematics) ,01 natural sciences ,Blowing up ,Mathematics - Algebraic Geometry ,Mathematics::Algebraic Geometry ,Néron–Severi group ,Noether–Lefschetz Theory ,Borel–Moore homology ,monodromy representation ,isolated singularities ,blowing-up ,0101 mathematics ,Projective variety ,Mathematics ,Mathematics::Complex Variables ,Group (mathematics) ,Applied Mathematics ,010102 general mathematics ,Surface (topology) ,14B05, 14C20, 14C21, 14C22, 14C25, 14C30, 14F43, 14F45, 14J70 ,010101 applied mathematics ,Hypersurface ,Settore MAT/03 - Geometria - Abstract
In this paper we extend the well known theorem of Angelo Lopez concerning the Picard group of the general space projective surface containing a given smooth projective curve, to the intermediate N\'eron-Severi group of a general hypersurface in any smooth projective variety., Comment: 14 pages, to appear on Communications in Contemporary Mathematics
- Published
- 2016