Pukhlikov, A
(2015)
Birationally rigid Fano fibre spaces. II.
Izvestiya: Mathematics, 79 (4).
pp. 809-837.
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Abstract
In this paper we prove birational rigidity of large classes of Fano-Mori fibre spaces over a base of arbitrary dimension, bounded from above by a constant that depends on the dimension of the fibre only. In order to do that, we first show that if every fibre of a Fano-Mori fibre space satisfies certain natural conditions, then every birational map onto another Fano-Mori fibre space is fibre-wise. After that we construct large classes of fibre spaces (into Fano double spaces of index one and into Fano hypersurfaces of index one) which satisfy those conditions.
Item Type: | Article |
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Additional Information: | 31 pages |
Uncontrolled Keywords: | Fano-Mori fibre space, birational rigidity, maximal singularity, hypertangent divisor, log canonical singularity, linear system, canonical class |
Subjects: | ?? QA ?? |
Depositing User: | Symplectic Admin |
Date Deposited: | 21 Jun 2016 08:19 |
Last Modified: | 26 Jun 2023 22:04 |
DOI: | 10.1070/IM2015v079n04ABEH002762 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3001756 |
Available Versions of this Item
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Birationally rigid Fano fibre spaces II. (deposited 05 Nov 2015 09:03)
- Birationally rigid Fano fibre spaces. II. (deposited 21 Jun 2016 08:19) [Currently Displayed]