Cylinders in weak del pezzo fibrations

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August undefined, 2024

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 ... 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 …

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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. 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 … china stainless steel castings company

arXiv:1912.09016v3 [math.AG] 19 Apr 2024

WebIn this paper we describe stable rank two bundles on Del-Pezzo fibrations of degree 1 and 2 exploiting the correspondence with the lines in fibers. We show ... CYLINDERS IN WEAK DEL PEZZO FIBRATIONS. 13 April 2024. MASATOMO SAWAHARA. Extending rationally connected fibrations from ample subvarieties. 09 July 2024. 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. 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... grammy best song for social change

Cylinders in singular del Pezzo surfaces Compositio …

Cylinders in weak del pezzo fibrations

Weak Fano threefolds with del Pezzo fibration SpringerLink

WebSep 5, 2012 · Cylinders in singular del Pezzo surfaces Ivan Cheltsov, Jihun Park and Joonyeong Won Compositio Mathematica Published online: 21 April 2016 Article Some extremal contractions between smooth varieties arising from projective geometry Alberto Alzati and Francesco Russo Proceedings of the London Mathematical Society Published … 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

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

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 …

WebApr 21, 2016 · Cylinders in singular del Pezzo surfaces Part of: Affine geometry Birational geometry Cycles and subschemes Surfaces and higher-dimensional varieties Published … 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

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 …

WebSep 10, 2011 · CYLINDERS IN WEAK DEL PEZZO FIBRATIONS. 13 April 2024. MASATOMO SAWAHARA. On fibrations approaching the Arakelov equality. 01 September 2024. Maximilian Bieri. The fibration method over real function fields. 15 August 2024. china stainless steel castings exporterWebDec 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 … grammy birthday giftsWebApr 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. china stainless steel colour sheetWebCYLINDERS 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 … grammy beyonce 2023WebDec 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 … grammy best song winnersWebDec 18, 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 … china stainless steel castingWebIn 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). grammy billie eilish performance