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arxiv: 1808.09061 · v1 · pith:UNL6OBTMnew · submitted 2018-08-27 · 🧮 math.AG

Potentially stably rational del Pezzo surfaces over nonclosed fields

classification 🧮 math.AG
keywords surfacespezzoactionsclassifycohomologicaldegreesfieldsgalois
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We classify Galois actions on Picard lattices of del Pezzo surfaces of degrees 1,2, and 3 giving rise to minimal surfaces with no cohomological obstructions to stable rationality.

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