scholarly journals Logarithmic del Pezzo surfaces of rank one with unique singular points

1999 ◽  
Vol 25 (2) ◽  
pp. 343-375 ◽  
Author(s):  
Hideo KOJIMA
Keyword(s):  
Singular Points ◽  
Del Pezzo Surfaces ◽  
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

scholarly journals Smoothable del Pezzo surfaces with quotient singularities

2009 ◽  
Vol 146 (1) ◽  
pp. 169-192 ◽  
Author(s):  
Paul Hacking ◽  
Yuri Prokhorov
Keyword(s):  
Minimal Model ◽  
Del Pezzo Surfaces ◽  
Model Program ◽  
Minimal Model Program ◽  
Rank One ◽  
Quotient Singularities ◽  
Del Pezzo ◽  
Moduli Problems

AbstractWe classify del Pezzo surfaces with quotient singularities and Picard rank one which admit a ℚ-Gorenstein smoothing. These surfaces arise as singular fibres of del Pezzo fibrations in the 3-fold minimal model program and also in moduli problems.

scholarly journals Classification of Toric Log Del Pezzo Surfaces with Few Singular Points

10.37236/9056 ◽  
2021 ◽  
Vol 28 (1) ◽  
Author(s):  
Yusuke Suyama
Keyword(s):  
Singular Points ◽  
Del Pezzo Surfaces ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

We give a classification of toric log del Pezzo surfaces with two or three singular points. Our proofs are purely combinatorial, relying on the bijection between toric log del Pezzo surfaces and the so-called LDP-polygons introduced by Dais and Nill.  

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