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arXiv · 1310.3448

Spaces of conics on low degree complete intersections

Xuanyu Pan
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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.

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Xuanyu Pan. 2013-10-13. Spaces of conics on low degree complete intersections. https://arxiv.org/abs/1310.3448

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