Cox rings of blow-ups of multiprojective spaces

• Bolognesi, Michele ^[1] ; Poma, Elena ^[1] ; Massarenti, Alex ^[2]
  1. [1] University of Montpellier

     University of Montpellier

     Arrondissement of Montpellier, Francia

     
  2. [2] Dipartimento di Matematica e Informatica, Università di Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 2, 2025, págs. 211-226
• Idioma: inglés
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• Resumen

  • Let be the blow-up of in r general points. We describe the Mori cone of for and for when . Furthermore, we prove that is log Fano and give an explicit resentation for its Cox ring.