Picard groups of Hilbert schemes of curves

Alexis Kouvidakis

Picard groups of Hilbert schemes of curves

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Alexis Kouvidakis

Abstract

We calculate the Picard group, over the integers, of the Hilbert scheme of smooth, irreducible, non-degenerate curves of degree $d$ and genus $g \geq 4$ in ${\Bbb P}^r$ , in the case when $d \geq 2g+1$ and $r \leq d-g$ . We express the classes of the generators in terms of some ``natural'' divisor classes.

Keywords

Picard group Hilbert scheme curves divisor classes algebraic geometry

Cite

@article{arxiv.alg-geom/9306002,
  title  = {Picard groups of Hilbert schemes of curves},
  author = {Alexis Kouvidakis},
  journal= {arXiv preprint arXiv:alg-geom/9306002},
  year   = {2008}
}

Comments

13 pages, LaTeX

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