scholarly journals Log canonical thresholds of del Pezzo surfaces in characteristic p

2014 ◽  
Vol 145 (1-2) ◽  
pp. 89-110 ◽  
Author(s):  
Jesus Martinez-Garcia
Keyword(s):  
Del Pezzo Surfaces ◽  
Characteristic P ◽  
Log Canonical ◽  
Del Pezzo

Weakly exceptional singularities of log del Pezzo surfaces

2019 ◽  
Vol 30 (01) ◽  
pp. 1950010
Author(s):  
In-Kyun Kim ◽  
Joonyeong Won
Keyword(s):  
Complete Intersection ◽  
Projective Spaces ◽  
Pezzo Surface ◽  
Del Pezzo Surfaces ◽  
Del Pezzo Surface ◽  
Log Canonical ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

We complete the computation of global log canonical thresholds, or equivalently alpha invariants, of quasi-smooth well-formed complete intersection log del Pezzo surfaces of amplitude 1 in weighted projective spaces. As an application, we prove that they are weakly exceptional. And we investigate the super-rigid affine Fano 3-folds containing a log del Pezzo surface as boundary.

Log Canonical Thresholds of Complete Intersection Log Del Pezzo Surfaces

2015 ◽  
Vol 58 (2) ◽  
pp. 445-483 ◽  
Author(s):  
In-Kyun Kim ◽  
Jihun Park
Keyword(s):  
Complete Intersection ◽  
Einstein Metrics ◽  
Projective Spaces ◽  
Del Pezzo Surfaces ◽  
Log Canonical ◽  
Del Pezzo ◽  
Kähler Einstein Metrics ◽  
Log Del Pezzo Surfaces

AbstractWe compute the global log canonical thresholds of quasi-smooth well-formed complete intersection log del Pezzo surfaces of amplitude 1 in weighted projective spaces. As a corollary we show the existence of orbifold Kähler—Einstein metrics on many of them.

scholarly journals Log-canonical thresholds on del Pezzo surfaces of degrees ≥ 2

2010 ◽  
Vol 200 ◽  
pp. 1-26
Author(s):  
Jihun Park ◽  
Joonyeong Won
Keyword(s):  
Del Pezzo Surfaces ◽  
Log Canonical ◽  
Del Pezzo

AbstractWe compute the global log-canonical thresholds (lct) of del Pezzo surfaces of degrees ≥ 2 with du Val singularities.

scholarly journals Log canonical thresholds on Gorenstein canonical del Pezzo surfaces

2010 ◽  
Vol 54 (1) ◽  
pp. 187-219 ◽  
Author(s):  
Jihun Park ◽  
Joonyeong Won
Keyword(s):  
Pezzo Surface ◽  
Del Pezzo Surfaces ◽  
Del Pezzo Surface ◽  
Log Canonical ◽  
Del Pezzo

AbstractWe classify all the effective anticanonical divisors on weak del Pezzo surfaces. Through this classification we obtain the smallest number among the log canonical thresholds of effective anticanonical divisors on a given Gorenstein canonical del Pezzo surface.

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