Any algebraic surface in ℙn(ℂ which is fibered in cubics, so that the generic fibre is a twisted cubic, gives rise to a curve Γ in a suitable compactification X of the space of smooth rational cubics of ℙn(ℂ). In this paper the case n = 4 is addressed and the corresponding space X is studied. We apply our results to complete the classification of smooth, rational surfaces in ℙ4(ℂ) ruled in cubics.

Surfaces in P^4 fibered in cubics / A. Alzati, A. Tortora. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - 55:1(2009), pp. 1-15. [10.1007/s11565-009-0059-3]

Surfaces in P^4 fibered in cubics

A. Alzati
Primo
;
A. Tortora
Ultimo
2009

Abstract

Any algebraic surface in ℙn(ℂ which is fibered in cubics, so that the generic fibre is a twisted cubic, gives rise to a curve Γ in a suitable compactification X of the space of smooth rational cubics of ℙn(ℂ). In this paper the case n = 4 is addressed and the corresponding space X is studied. We apply our results to complete the classification of smooth, rational surfaces in ℙ4(ℂ) ruled in cubics.
Ruled surfaces; low codimension varieties
Settore MAT/03 - Geometria
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/55650
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