2023-01-29T02:23:02Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:02005202
2022-12-19T05:36:48Z
312:6865:1655967293406:1655967376130
9:504:6868:1655967151838:1655967215050
Bounded Deformations of $\large\boldsymbol{(\epsilon,\delta)}$-Log Canonical Singularities
Han, Jingjun
Liu, Jihao
Moraga, JoaquĆn
Klt singularities
deformations
log discrepancies
bounded families
plt blow-up
In this paper we study $(\epsilon,\delta)$-lc singularites, i.e. $\epsilon$-lc singularities admitting a $\delta$-plt blow-up. We prove that $n$-dimensional $(\epsilon,\delta)$-lc singularities are bounded up to a deformation, and $2$-\break dimensional $(\epsilon,\delta)$-lc singularities form a bounded family. Furthermore, we give an example which shows that $(\epsilon,\delta)$-lc singularities are not bounded in higher dimensions, even in the analytic sense.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2020-11-06
application/pdf
Journal of Mathematical Sciences The University of Tokyo
1
27
1
28
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/2005202/files/jms270101.pdf
eng