Cylinders in weak del pezzo fibrations

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August undefined, 2024

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 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 … WebOct 28, 2010 · We classify all the effective anticanonical divisors on weak del Pezzo surfaces. Through this classification we obtain the smallest number among the log canonical thresholds of effective anticanonical divisors on a given Gorenstein canonical del Pezzo surface. Keywords del Pezzo surfaceeffective anticanonical divisorlog canonical threshold

Cylinders in singular del Pezzo surfaces Compositio Mathematica ...

WebDec 19, 2024 · Transformation Groups. In this article, we shall look into the existence of vertical cylinders contained in a weak del Pezzo fibration as a generalization of the … 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... notes at copious

arXiv:1912.09016v2 [math.AG] 22 Jun 2024

WebApr 21, 2016 · Cylinders in singular del Pezzo surfaces Part of: Affine geometry Birational geometry Cycles and subschemes Surfaces and higher-dimensional varieties Published … WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebDec 18, 2024 · 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... notes at city point

[1912.09016v2] Cylinders in weak del Pezzo fibrations

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 ... 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. how to set text size in spinner androidWebApr 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 … notes at bottom of table

"WebJul 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 … " - Cylinders in weak del pezzo fibrations

Cylinders in weak del pezzo fibrations

Transformation Groups Volume 28, issue 1 - Springer

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) ... http://math.bu.edu/people/yslin/Slides/SLAG.pdf

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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 … 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 …

WebIn 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 … WebNov 27, 2024 · CYLINDERS IN WEAK DEL PEZZO FIBRATIONS Authors MASATOMO SAWAHARA Content type: OriginalPaper Published: 13 April 2024 Pages: 413 - 437 …

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 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

WebMain Result 1: New Special Lagrangian Fibrations Theorem 1 (Collins-Jacob-L. ’19) Y=weak del Pezzo surface, D 2j K Y jsmooth. Then X = YnD admits a special Lagrangian bration with a special Lagrangian section with respect to the Tian-Yau metric. This solves conjectures of Yau and Auroux ’08. Probably the only non-trivial example so far. notes apple on windowsWebJul 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... how to set text size in cssWebDec 19, 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 due to Dubouloz … how to set text width in cssWebIn 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 … how to set textarea size in htmlWebIn 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). how to set text tone on iphoneWebDec 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. how to set text vertical in excelWebCYLINDERS 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. notes at george w bush\u0027s funeral