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The field of moduli of a divisor on a rational curve
Giulio Bresciani
Let be a field with algebraic closure and a reduced, effective divisor of degree , write for the field of moduli…
Fields of moduli and the arithmetic of tame quotient singularities
Giulio Bresciani, Angelo Vistoli
Given a perfect field with algebraic closure and a variety over , the field of moduli of is the subfield of of elements fixe…
An elementary approach to Stix's proof of the real section conjecture
Giulio Bresciani, Angelo Vistoli
We give an elementary proof of the real section conjecture for quasi-projective hyperbolic curves and semi-abelian varieties. The underlying argument is essentially equivalent to t…
Some implications between Grothendieck's anabelian conjectures
Giulio Bresciani
Grothendieck gave two forms of his "main conjecture of anabelian geometry", i.e. the section conjecture and the hom conjecture. He stated that these two forms are equivalent and th…