Complete intersection points on general surfaces in $\PP^3$

Details Complete intersection points on general surfaces in $\PP^3$ Complete intersection points on general surfaces in $\PP^3$

2008-11-13

arxiv.org/abs/0811.2233v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper we consider the existence of complete intersection points of
type $(a,b,c)$, on the generic degree $d$ surface of $\PP^3$. For any choice of
$a, b, c$ we resolve the existence question asymptotically, i.e. for all $d \gg
0$. For small values of $a, b, c$ we resolve the existence problem completely.

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