Enumerative formulae for ruled cubic surfaces and rational quintic curves

Coray, Daniel; Vainsencher, Israel

doi:10.1007/bf02621930

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1994

2011

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Cited by 6 publications

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“…In the case of the 4 big strata given by the rank of a quadratic form, the degree can be obtained at least in two ways [30], [28]. On the other hand, in 1986, D. F. Coray and I. Vainsencher calculated the degree of the 4 strata of ruled cubic surfaces having a double line [8]. Their work motivates ours.…”

Section: Introductionmentioning

confidence: 93%

Degree of strata of singular cubic surfaces

Hernández

Vázquez-Gallo

2000

Trans. Amer. Math. Soc.

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We determine the degree of some strata of singular cubic surfaces in the projective space P 3 . These strata are subvarieties of the P 19 parametrizing all cubic surfaces in P 3 . It is known what their dimension is and that they are irreducible. In 1986, D. F. Coray and I. Vainsencher computed the degree of the 4 strata consisting on cubic surfaces with a double line. To work out the case of isolated singularities we relate the problem with (stationary) multiple-point theory.

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Section: Introductionmentioning

confidence: 93%