CanonicalJournal.pdf (357.22 kB)
Explicit models for threefolds fibred by K3 surfaces of degree two
We consider threefolds that admit a fibration by K3 surfaces over a nonsingular curve, equipped with a divisorial sheaf that defines a polarisation of degree two on the general fibre. Under certain assumptions on the threefold we show that its relative log canonical model exists and can be explicitly
reconstructed from a small set of data determined by the original fibration.
Finally we prove a converse to the above statement: under certain assumptions,
any such set of data determines a threefold that arises as the relative log canonical model of a threefold admitting a fibration by K3 surfaces of degree two.
History
School
- Science
Department
- Mathematical Sciences
Published in
Canadian Journal of MathematicsVolume
65Issue
4Pages
905 - 926Citation
THOMPSON, A., 2013. Explicit models for threefolds fibred by K3 surfaces of degree two. Canadian Journal of Mathematics, 65(4), pp. 905-926.Publisher
© Canadian Mathematical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2013Notes
First published in Canadian Journal of Mathematics at https://doi.org/10.4153/CJM-2012-037-2. Copyright © 2013, Canadian Mathematical SocietyISSN
0008-414XeISSN
1496-4279Publisher version
Language
- en