54 citations · 234 across the 25 of their papers we have counts for
Showing 2005 · math.AGShow all
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math.AG2005★ 5 cited
Families of hyperelliptic curves
Sergey Gorchinskiy, Filippo Viviani
The main subject is the difference between the coarse moduli space and the stack of hyperelliptic curves. In particular, we compute their Picard groups, giving explicit description…
math.AG2005★ 4 cited
Poincare biextension and ideles on the algebraic curve
Sergey Gorchinskiy
Arbarello, de Concini, and Kac have constructed a central extension of the ideles group on a smooth projective algebraic curve. We show a relation of this central extension with th…
math.AG2005★ 2 cited
Families of n-gonal curves with maximal variation of moduli
Sergey Gorchinskiy, Filippo Viviani
We study families of n-gonal curves with maximal variation of moduli, which have a rational section. Certain numerical results on the degree of the modular map are obtained for suc…