Spaces of conics on low degree complete intersections (1310.3448v4)

Published 13 Oct 2013 in math.AG

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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Authors (1)

Xuanyu Pan

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