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

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

2010-03-10

arxiv.org/abs/1003.2047v1

Collectanea Mathematica Volume 62, Number 3, 275-296, 2011

Mathematics

Algebraic Geometry

Scientific paper

10.1007/s13348-011-0044-x

We investigate full strongly exceptional collections on smooth, com- plete
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.

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