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Nov 13 at 23:54 comment added maxo @JasonStarr Thank you Professor Starr. I am a beginner to all of this so can I ask: in Caporaso's article, they consider the universal Picard variety over $M^0_g$ (smooth genus $g$ curves which are automorphism free), and claim that this is irreducible. Here I am considering $M_g$, which includes curves with automorphisms. Does irreducibility still hold?
Oct 31 at 17:34 comment added Jason Starr This is a straightforward deformation theory computation, but if you need a reference, it is probably in Caporaso’s article on compactifications of $\text{Pic}^{d,g}.$
Oct 31 at 17:25 history asked maxo CC BY-SA 4.0