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Neutral representations in dimension and fields of moduli
Giulio Bresciani, Tianzhi Yang
A representation of an algebraic group induces a vector bundle . The representation of is neutral if, for every twisted form $\mathcal{V} \to \mathcal…
Neutral representations of finite diagonalizable group schemes and fields of moduli
Giulio Bresciani, Angelo Vistoli, Tianzhi Yang
We introduce the notion of a neutral representation of a finite group, or finite group scheme, ; a representation with the property that if a gerbe over a fiel…
The section conjecture for the toric fundamental group over -adic fields
Giulio Bresciani
Loosely speaking, the toric fundamental group is the Tannaka dual of a category of vector bundles which become direct sums of line bundles on a finite étale cover. In characteristi…
Real versus complex plane curves
Giulio Bresciani
We prove that a smooth, complex plane curve of odd degree can be defined by a polynomial with real coefficients if and only if is isomorphic to its complex conjugate. Count…