Relative Jacobians of Linear Systems

Matthew Woolf (Harvard)

We study rational sections of relative Jacobians of linear systems. In particular, under certain hypotheses, we prove the analogue of the strong Franchetta conjecture, i.e. that all such rational sections arise from restricting a fixed line bundle to each divisor. Time permitting, we will discuss the relationship of this result with the geometry of moduli spaces of sheaves.

Tuesday, February 18th, at 4:00pm in HBH 227

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