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arxiv: 1405.5991 · v4 · pith:QSIOYLZLnew · submitted 2014-05-23 · 🧮 math.AG · math.NT

Galois descent for the gonality of curves

classification 🧮 math.AG math.NT
keywords curvesdescentgaloisgonalitybasebrauer-severiconditionscurve
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We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.

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