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- W2952708301 abstract "This is an addendum to the paper of Braun and Floystad ([BF]) on the bound for the degree of a smooth surface in $pfour$ not of general type. Using their construction and the regularity of curves in $pthree$, one may lower the bound a little more. We will prove the following: Theorem. Let $S$ be a smooth surface of degree $d$ in $pfour$ not of general type. Then either $d leq 70$ or $S$ lies on a hypersurface in $pfour$ of degree 5 and $d leq 80$. Thus $d leq 80$. We will also indicate how to lower the bound to 76." @default.
- W2952708301 created "2019-06-27" @default.
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- W2952708301 date "1995-01-16" @default.
- W2952708301 modified "2023-09-27" @default.
- W2952708301 title "An improved bound for the degree of smooth surfaces in P4 not of general type." @default.
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