Surfaces elliptiques réelles et inégalité de Ragsdale-Viro
Mangolte, Frédéric
HAL, hal-00001384 / Harvested from HAL
Text on HAL
On a real regular elliptic surface without multiple fiber, the Betti number h1 and the Hodge number h1,1 are related by h1<=h1,1. We prove that it's always possible to deform such algebraic surface to obtain h1=h1,1. Furthermore, we can impose that each homology class can be represented by a real algebraic curve. We use a real version of the modular construction of elliptic surfaces.
Publié le : 2000-07-05
Classification:  topology of real algebraic surfaces,  elliptic surface,  algebraic cycle,  14J27; 14C25 14P25 MSC (1991) 14J27; 14C25 14P25,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00001384,
     author = {Mangolte, Fr\'ed\'eric},
     title = {Surfaces elliptiques r\'eelles et in\'egalit\'e de Ragsdale-Viro},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00001384}
}

Mangolte, Frédéric. Surfaces elliptiques réelles et inégalité de Ragsdale-Viro. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001384/