Artículos de revistas
Enumeration of Surfaces Containing an Elliptic Quartic Curve
Fecha
2014-10Registro en:
Cukierman, Fernando Miguel; Lopez, A. F.; Vainsencher, I.; Enumeration of Surfaces Containing an Elliptic Quartic Curve; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 10; 10-2014; 3305-3313
0002-9939
CONICET Digital
CONICET
Autor
Cukierman, Fernando Miguel
Lopez, A. F.
Vainsencher, I.
Resumen
A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.