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Bresciani, Giulio, Vistoli, Angelo , TITLE = · 2024 · DOI 10.1112/s0010437x2400705x

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Fields of Moduli of Smooth del Pezzo Surfaces

math.AG · 2026-07-17 · conditional · novelty 7.0

Every smooth del Pezzo surface of degree at least 3 over an algebraically closed field in characteristic 0 is defined over its field of moduli, but degree-1 and degree-2 counterexamples exist over C/R.

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  • Fields of Moduli of Smooth del Pezzo Surfaces math.AG · 2026-07-17 · conditional · none · ref 14

    Every smooth del Pezzo surface of degree at least 3 over an algebraically closed field in characteristic 0 is defined over its field of moduli, but degree-1 and degree-2 counterexamples exist over C/R.