Singularities of Normal Log Canonical del Pezzo Surfaces of Rank One

2020 ◽  
pp. 199-208
Author(s):  
Hideo Kojima
Keyword(s):  
Del Pezzo Surfaces ◽  
Log Canonical ◽  
Rank One ◽  
Del Pezzo

scholarly journals Anticanonical codes from del Pezzo surfaces with Picard rank one

2020 ◽  
Vol 373 (8) ◽  
pp. 5371-5393 ◽  
Author(s):  
Régis Blache ◽  
Alain Couvreur ◽  
Emmanuel Hallouin ◽  
David Madore ◽  
Jade Nardi ◽  
...  
Keyword(s):  
Del Pezzo Surfaces ◽  
Rank One ◽  
Del Pezzo

scholarly journals Logarithmic del Pezzo surfaces of rank one with non-contractible boundaries

1984 ◽  
Vol 10 (2) ◽  
pp. 271-319 ◽  
Author(s):  
Masayoshi MIYANISHI ◽  
Shuichiro TSUNODA
Keyword(s):  
Del Pezzo Surfaces ◽  
Rank One ◽  
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.

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