scholarly journals Birational rigidity of singular Fano hypersurfaces

2017 ◽  
pp. 911-929
Author(s):  
Tommaso de Fernex
Keyword(s):  
Birational Rigidity

scholarly journals Canonical and log canonical thresholds of multiple projective spaces

2019 ◽  
Author(s):  
Aleksandr V. Pukhlikov
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Regularity Conditions ◽  
Large Classes ◽  
Log Canonical Threshold ◽  
Birational Rigidity ◽  
Log Canonical ◽  
Finite Set ◽  
Dimensional Projective Space ◽  
Almost All

AbstractWe show that the global (log) canonical threshold of d-sheeted covers of the M-dimensional projective space of index 1, where $$d\geqslant 4$$d⩾4, is equal to 1 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.

scholarly journals Effective Birational Rigidity of Fano Double Hypersurfaces

2018 ◽  
Vol 4 (3-4) ◽  
pp. 505-521
Author(s):  
Thomas Eckl ◽  
Aleksandr Pukhlikov
Keyword(s):  
Birational Rigidity

scholarly journals Finite collineation groups and birational rigidity

2019 ◽  
Vol 25 (5) ◽  
Author(s):  
Ivan Cheltsov ◽  
Constantin Shramov
Keyword(s):  
Birational Rigidity ◽  
Collineation Groups

scholarly journals Mori dream spaces and birational rigidity of Fano 3-folds

2016 ◽  
Vol 292 ◽  
pp. 410-445 ◽  
Author(s):  
Hamid Ahmadinezhad ◽  
Francesco Zucconi
Keyword(s):  
Birational Rigidity ◽  
Mori Dream Spaces

scholarly journals Bounds for log canonical thresholds with applications to birational rigidity

2003 ◽  
Vol 10 (2) ◽  
pp. 219-236 ◽  
Author(s):  
Lawrence Ein ◽  
Tommaso de Fernex ◽  
Mircea Mustata
Keyword(s):  
Birational Rigidity ◽  
Log Canonical
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