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arXiv · 1402.2128

Strong Franchetta Conjecture for Linear Systems

Matthew Woolf
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Abstract

In this paper, we study rational sections of the relative Picard variety of a linear system on a smooth projective variety. Specifically, we prove that if the linear system is basepoint-free and the locus of non-integral divisors has codimension at least two, then all rational sections of the relative Picard variety come from restrictions of line bundles on the variety.

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Matthew Woolf. 2014-02-10. Strong Franchetta Conjecture for Linear Systems. https://arxiv.org/abs/1402.2128

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