Cylinders in weak del pezzo fibrations
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 … WebMay 6, 2009 · 11 Citations Metrics Abstract We prove that a terminal three-dimensional del Pezzo fibration has no fibers of multiplicity >6. We also obtain a rough classification of possible configurations of singular points on multiple fibers and give some examples. Download to read the full article text References
Cylinders in weak del pezzo fibrations
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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. WebFamilies of simple subgroups in the Cremona group arising from del Pezzo fibrations Igor Krylov (KIAS Seoul, Republic of Korea) ... Cylinders in canonical del Pezzo fibrations Masatomo Sawahara (Saitama University, Japan) ... Classification of toric log del Pezzo surfaces with few singular points Yusuke Suyama (Osaka University, Japan) ...
WebDec 18, 2014 · Certainly, cylinders are geometrically simple objects, however they received a lot of attention recently from the viewpoint of unipotent group actions on affine cones over polarized varieties... WebApr 18, 2024 · We show that a del Pezzo fibration π: V → W of degree d contains a vertical open cylinder, that is, an open subset whose intersection with the generic fiber of π is isomorphic to Z × AK1 for some quasi-projective variety Z defined over the function field K of W, if and only if d ≥ 5 and π: V → W admits a rational section.
WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebApr 13, 2024 · In this article, we shall look into the existence of vertical cylinders contained in a weak del Pezzo fibration as a generalization of the former work of Dubouloz and …
WebCYLINDERS IN WEAK DEL PEZZO FIBRATIONS 3 (1) Scontains an A1 k-cylinder if and only if d= 8 and Sis endowed with a structure of Mori conic bundle admitting a section defined over k. (2) Scontains the affine plane A2 k if and only if d= 8 and S(k) 6= ∅. Note that Theorem 1.7 excludes the case of Picard rank one since it has already been studied
http://math.bu.edu/people/yslin/Slides/SLAG.pdf floating mystery snailWebNov 27, 2024 · CYLINDERS IN WEAK DEL PEZZO FIBRATIONS Authors MASATOMO SAWAHARA Content type: OriginalPaper Published: 13 April 2024 Pages: 413 - 437 … great is he that is in me kjvWebApr 21, 2016 · Cylinders in singular del Pezzo surfaces Part of: Affine geometry Birational geometry Cycles and subschemes Surfaces and higher-dimensional varieties Published … great is he lyricsWebIn all cases, these surfaces satisfy weak approximation (assuming they have a point). July 24th: Showed that del Pezzo surfaces of degree 5 always have a rational point and are birational to the plane, over the ground field. Introduced the Azumaya Brauer group and the cohomological Brauer group (which coincide for nice varieties). great is he who\u0027s the king of kings lyricsWebCYLINDERS 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 Pezzo fibration as a generalization of the former work due to Dubouloz and Kishimoto in which they observed that of vertical cylinders found in del Pezzo fibrations. The … great is he who\\u0027s the king of kings chordsWebCYLINDERS IN CANONICAL DEL PEZZO FIBRATIONS 3 §6, we shall provide some examples of cylinders in Du Val del Pezzo surface of Picard rank one over a field kof characteristic zero and those in canonical del Pezzo fibrations. Notation and Conventions. We will use the following notations: •C: The field of complex numbers. greatish guardianWebJul 4, 2016 · We show that a del Pezzo fibration π: V → W of degree d contains a vertical open cylinder, that is, an open subset whose intersection with the generic fiber of π is … great is he who\\u0027s the king of kings lyrics