Spaces of conics on low degree complete intersections
Algebraic Geometry
2017-01-10 v4
Abstract
Let X be a smooth complete intersection. Suppose p and q are general points of X, we consider conics in X passing through p and q. We show the moduli space of these conics is a smooth complete intersection. The main ingredients of the proof are a criterion for characterizing when a smooth projective variety is a complete intersection, the Grothendieck-Riemann-Roch theorem and the geometry of the spaces of conics.
Cite
@article{arxiv.1310.3448,
title = {Spaces of conics on low degree complete intersections},
author = {Xuanyu Pan},
journal= {arXiv preprint arXiv:1310.3448},
year = {2017}
}
Comments
19 pages. To appear in Transactions of AMS 2017