scholarly journals Log del Pezzo surfaces with not small fractional indices

2015 ◽  
Vol 289 (1) ◽  
pp. 34-59 ◽  
Author(s):  
Kento Fujita
Keyword(s):  
Del Pezzo Surfaces ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

scholarly journals Classification of log del Pezzo surfaces of index three

2017 ◽  
Vol 69 (1) ◽  
pp. 163-225 ◽  
Author(s):  
Kento FUJITA ◽  
Kazunori YASUTAKE
Keyword(s):  
Del Pezzo Surfaces ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

scholarly journals ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC

2020 ◽  
pp. 1-43
Author(s):  
Fabio Bernasconi ◽  
Hiromu Tanaka
Keyword(s):  
Positive Characteristic ◽  
Three Dimensional ◽  
Line Bundles ◽  
Del Pezzo Surfaces ◽  
Bounded Degree ◽  
Explicit Bound ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

We establish two results on three-dimensional del Pezzo fibrations in positive characteristic. First, we give an explicit bound for torsion index of relatively torsion line bundles. Second, we show the existence of purely inseparable sections with explicit bounded degree. To prove these results, we study log del Pezzo surfaces defined over imperfect fields.

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