On the full, strongly exceptional collections on toric varieties with Picard number three

• Autores: Michal Lason, Mateusz Michalek
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 3, 2011, págs. 275-296
• Idioma: inglés
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• Resumen

  • We investigate full strongly exceptional collections on smooth, complete toric varieties. We obtain explicit results for a large family of varieties with Picard number three, containing many of the families already known. We also describe the relations between the collections and the split of the push forward of the trivial line bundle by the toric Frobenius morphism.