WebCylinders in projective varieties play an important role in connection with unipotent group actions on certain affine algebraic varieties. The previous work due to Dubouloz and Kishimoto deals with the condition for a del Pezzo fibration to contain a vertical cylinder. In the present work, as a generalization in the sense of singularities, we shall determine the … WebApr 21, 2016 · For each del Pezzo surface with du Val singularities, we determine whether it admits a -polar cylinder or not. If it allows one, then we present an effective -divisor that is -linearly equivalent to and such that the open set is a cylinder.
[PDF] Cylinders in del Pezzo fibrations Semantic Scholar
WebDec 18, 2024 · Cylinders in canonical del Pezzo fibrations Masatomo Sawahara Cylinders in projective varieties play an important role in connection with unipotent group actions on certain affine algebraic varieties. The previous work due to Dubouloz and Kishimoto deals with the condition for a del Pezzo fibration to contain a vertical cylinder. WebMar 30, 2024 · 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. ... Schröer, S., Weak del Pezzo surfaces with irregularity, Tohoku Math ... list of foods with hidden sugars
(PDF) Unipotent Group Actions on Del Pezzo Cones - ResearchGate
WebJul 27, 2000 · CYLINDERS IN WEAK DEL PEZZO FIBRATIONS Article Full-text available Apr 2024 TRANSFORM GROUPS Masatomo Sawahara View Show abstract Birational rigidity and K-stability of Fano hypersurfaces with... WebCYLINDERS IN WEAK DEL PEZZO FIBRATIONS MASATOMO SAWAHARA Abstract. In this article, we shall look into the existence of vertical cylinders contained in a weak del … WebSep 6, 2024 · Del Pezzo surfaces are one of the most investigated subjects in the classical algebraic geometry. A smooth surface S is called a del Pezzo surface if its anti-canonical divisor -K_S is ample, and it is of degree d if the self-intersection number (-K_S)^2 is d. The degree d is an integer from 1 to 9, as is well known. imaginext toy story just4fun290