Concavity, Abel transform and the Abel-inverse theorem in smooth complete toric varieties

• Autores: Martin Guy B. Weimann
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 1, 2013, págs. 111-133
• Idioma: inglés
• DOI: 10.1007/s13348-011-0050-z
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• Resumen

  • We extend the usual projective Abel transform to the larger context of a smooth complete toric variety X. We define and study toric E-concavity attached to a split vector bundle on X. Then we obtain a multidimensional residual representation of the toric Abel transform and we prove a toric version of the classical Abel-inverse theorem.