Cylinders in weak del pezzo fibrations
WebCYLINDERS IN WEAK DEL PEZZO FIBRATIONS MASATOMO SAWAHARA Graduate School of Science and Engineering Saitama University Saitama 338-8570, Japan …
Cylinders in weak del pezzo fibrations
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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. 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 ...
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 … 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 …
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 … 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.
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.
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... small handheld wood cutterWebDec 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 … song what is going onWebCYLINDERS 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. song what now my love with lyricsWebJul 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... small hand hourWebCYLINDERS 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 … song what part of no don\u0027t you understandWebOct 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 song what is life george harrison + lyricsWebSep 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 … small hand hover