On the full, strongly exceptional collections on toric varieties with Picard number three
| Type of Publication: | Journal article |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1v399n0k3xfv38 |
| Author: | Lasoń, Michał; Michalek, Mateusz |
| Year of publication: | 2011 |
| Published in: | Collectanea Mathematica ; 62 (2011), 3. - pp. 275-296. - Springer. - ISSN 0010-0757. - eISSN 2038-4815 |
| DOI (citable link): | https://dx.doi.org/10.1007/s13348-011-0044-x |
| Summary: |
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.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | Line Bundle, Simplicial Complex, Toric Variety, Coherent Sheave, Cartier Divisor |
| Link to License: | In Copyright |
| Refereed: | Unknown |
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LASOŃ, Michał, Mateusz MICHALEK, 2011. On the full, strongly exceptional collections on toric varieties with Picard number three. In: Collectanea Mathematica. Springer. 62(3), pp. 275-296. ISSN 0010-0757. eISSN 2038-4815. Available under: doi: 10.1007/s13348-011-0044-x
@article{Lason2011stron-52568, title={On the full, strongly exceptional collections on toric varieties with Picard number three}, year={2011}, doi={10.1007/s13348-011-0044-x}, number={3}, volume={62}, issn={0010-0757}, journal={Collectanea Mathematica}, pages={275--296}, author={Lasoń, Michał and Michalek, Mateusz} }
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