K3 fibrations on rigid double octic Calabi-Yau threefolds
Annales Polonici Mathematici (2016)
- Volume: 116, Issue: 3, page 229-241
- ISSN: 0066-2216
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topPaweł Borówka. "K3 fibrations on rigid double octic Calabi-Yau threefolds." Annales Polonici Mathematici 116.3 (2016): 229-241. <http://eudml.org/doc/280551>.
@article{PawełBorówka2016,
abstract = {We give a description of the Picard group of double octic Calabi-Yau threefolds using a K3 fibration defined by a singular line of the branch octic. In particular, we show that the group is generated by the Picard group of a generic fibre and the subgroup generated by the components of the reducible fibres.},
author = {Paweł Borówka},
journal = {Annales Polonici Mathematici},
keywords = {double octics; K3 fibration; Picard group of rigid Calabi-Yau threefold},
language = {eng},
number = {3},
pages = {229-241},
title = {K3 fibrations on rigid double octic Calabi-Yau threefolds},
url = {http://eudml.org/doc/280551},
volume = {116},
year = {2016},
}
TY - JOUR
AU - Paweł Borówka
TI - K3 fibrations on rigid double octic Calabi-Yau threefolds
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 3
SP - 229
EP - 241
AB - We give a description of the Picard group of double octic Calabi-Yau threefolds using a K3 fibration defined by a singular line of the branch octic. In particular, we show that the group is generated by the Picard group of a generic fibre and the subgroup generated by the components of the reducible fibres.
LA - eng
KW - double octics; K3 fibration; Picard group of rigid Calabi-Yau threefold
UR - http://eudml.org/doc/280551
ER -
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