An improved bound for the degree of smooth surfaces in $\mathbf {P}^4$ not of general type

Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.

Chern invariants of surfaces of general type

Ulf Persson (1981)

Compositio Mathematica

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Canonical surfaces with $p_{g} = p_{a} = 5$ and $K^{2} = 10$

Ciro Ciliberto (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Families of quintic surfaces and curves

Edmond E. Griffin (1985)

Compositio Mathematica

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Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.

Alberto Dolcetti (2002)

Collectanea Mathematica

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Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.

Displaying similar documents to “An improved bound for the degree of smooth surfaces in 𝐏 4 not of general type”

Displaying similar documents to “An improved bound for the degree of smooth surfaces in $𝐏^{4}$ not of general type”