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math.AG2023
Theta bundle, Quillen connection and the Hodge theoretic projective structure
Indranil Biswas, Alessandro Ghigi, Carolina Tamborini
There are two canonical projective structures on any compact Riemann surface of genus at least two: one coming from the uniformization theorem, and the other from Hodge theory. The…
math.AG2023
Decomposable abelian -curves and special subvarieties
Irene Spelta, Carolina Tamborini
We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves,…