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

E. Carlini; L. Chiantini; A. V. Geramita

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

Algebraic Geometry 2008-11-17 v1 Commutative Algebra

Authors: E. Carlini , L. Chiantini , A. V. Geramita

Abstract

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.

Keywords

intersection theory intersection theory on moduli spaces

Cite

@article{arxiv.0811.2233,
  title  = {Complete intersection points on general surfaces in $\PP^3$},
  author = {E. Carlini and L. Chiantini and A. V. Geramita},
  journal= {arXiv preprint arXiv:0811.2233},
  year   = {2008}
}

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