6533b830fe1ef96bd1296719
RESEARCH PRODUCT
On the Neron-Severi group of surfaces with many lines
Samuel BoissièreAlessandra Sartisubject
Surface (mathematics)Pure mathematicsGeneral MathematicsBinary number010103 numerical & computational mathematics01 natural sciencesMathematics - Algebraic GeometryMathematics::Algebraic GeometryNéron–Severi groupQuartic functionPrime factorFOS: Mathematics0101 mathematics[MATH]Mathematics [math]Algebraic Geometry (math.AG)ComputingMilieux_MISCELLANEOUSMathematicsGroup (mathematics)Applied Mathematics010102 general mathematicsPrime degreeMultiple factors14J18; 14J19[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]14J1814J19description
For a binary quartic form $\phi$ without multiple factors, we classify the quartic K3 surfaces $\phi(x,y)=\phi(z,t)$ whose Neron-Severi group is (rationally) generated by lines. For generic binary forms $\phi$, $\psi$ of prime degree without multiple factors, we prove that the Neron-Severi group of the surface $\phi(x,y)=\psi(z,t)$ is rationally generated by lines.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-11-01 |