Pukhlikov, Aleksandr V
(2019)
Canonical and log canonical thresholds of multiple projective spaces.
European Journal of Mathematics, 7 (1).
pp. 135-162.
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Abstract
In this paper we show that the global (log) canonical threshold of $d$-sheeted covers of the $M$-dimensional projective space of index 1, where $d\geqslant 4$, is equal to one for almost all families (except for a finite set). The varieties are assumed to have at most quadratic singularities, the rank of which is bounded from below, and to satisfy the regularity conditions. This implies birational rigidity of new large classes of Fano-Mori fibre spaces over a base, the dimension of which is bounded from above by a constant that depends (quadratically) on the dimension of the fibre only.
Item Type: | Article |
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Additional Information: | 28 pages |
Uncontrolled Keywords: | maximal singularity, (log) canonical threshold, Fano-Morie fibre space, hypertangent divisor |
Depositing User: | Symplectic Admin |
Date Deposited: | 25 Nov 2019 15:04 |
Last Modified: | 19 Jan 2023 00:19 |
DOI: | 10.1007/s40879-019-00388-7 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3063414 |
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Canonical and log canonical thresholds of multiple projective spaces. (deposited 04 Jul 2019 07:11)
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Canonical and log canonical thresholds of multiple projective spaces. (deposited 25 Nov 2019 09:25)
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Canonical and log canonical thresholds of multiple projective spaces. (deposited 25 Nov 2019 09:25)