Halphen pencils on weighted Fano threefold hypersurfaces
Open Mathematics (2009)
- Volume: 7, Issue: 1, page 1-45
- ISSN: 2391-5455
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topIvan Cheltsov, and Jihun Park. "Halphen pencils on weighted Fano threefold hypersurfaces." Open Mathematics 7.1 (2009): 1-45. <http://eudml.org/doc/269719>.
@article{IvanCheltsov2009,
abstract = {On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.},
author = {Ivan Cheltsov, Jihun Park},
journal = {Open Mathematics},
keywords = {Fano threefolds; Weighted hypersurfaces; K3 surfaces; Halphen pencils; Birational automorphisms; Fano 3-folds; surfaces; weighted hypersurfaces; birational automorphisms},
language = {eng},
number = {1},
pages = {1-45},
title = {Halphen pencils on weighted Fano threefold hypersurfaces},
url = {http://eudml.org/doc/269719},
volume = {7},
year = {2009},
}
TY - JOUR
AU - Ivan Cheltsov
AU - Jihun Park
TI - Halphen pencils on weighted Fano threefold hypersurfaces
JO - Open Mathematics
PY - 2009
VL - 7
IS - 1
SP - 1
EP - 45
AB - On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.
LA - eng
KW - Fano threefolds; Weighted hypersurfaces; K3 surfaces; Halphen pencils; Birational automorphisms; Fano 3-folds; surfaces; weighted hypersurfaces; birational automorphisms
UR - http://eudml.org/doc/269719
ER -
References
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- [3] Cheltsov I., Park J., Halphen Pencils on weighted Fano threefold hypersurfaces (extended version), preprint available at arXiv:math/0607776 [WoS] Zbl1183.14022
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- [10] Ryder D., The Curve Exclusion Theorem for elliptic and K3 fibrations birational to Fano 3-fold hypersurfaces, preprint available at arXiv:math.AG/0606177 [WoS] Zbl1162.14008
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