Rationale's k3
TīmeklisRational curves on K3 surfaces - YouTube March 11, 2014Although a projective K3 surface over the complex numbers cannot be unirational, Bogomolov conjectured … Tīmeklis3 are examples of K3 surfaces. Little is known about the arithmetic of these surfaces. It is for instance not known whether there exists a K3 sur-face over the rational …
Rationale's k3
Did you know?
Tīmeklis2013. gada 20. apr. · We show that supersingular K3 surfaces in characteristic $$p\ge 5$$p≥5 are related by purely inseparable isogenies. This implies that they are unirational, which proves conjectures of Artin, Rudakov, Shafarevich, and Shioda. Tīmeklis2024. gada 1. marts · $ K3 $-surfaces over an algebraically closed field of positive characteristic allow of a lifting into characteristic zero, their crystalline cohomology spaces do not have torsion, and their ranks coincide …
Tīmeklis1995. gada 17. dec. · We describe the counting of BPS states of Type II strings on K3 by relating the supersymmetric cycles of genus to the number of rational curves with double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string. Submission history From: Eric Zaslow … Tīmeklis2010. gada 16. dec. · Jun Li, Christian Liedtke We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps and reduction to positive characteristic. Submission history From: Christian Liedtke [ view …
TīmeklisBogomolov and Mumford proved that every complex projective K3 surface contains a rational curve. Since then, a lot of progress has been made by Bogomolov, Chen, … Tīmeklis2010. gada 16. dec. · Rational curves on K3 surfaces. We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof …
TīmeklisA rational point of X over k is thus a 0-cycle of degree 1. Conjecturally, the Brauer–Manin obstruction to the Hasse principle for 0-cycles of degree 1 is the only one for smooth, proper, geometrically integral varieties over k (see [ 13] and [ 1 ]).
Tīmeklis2010. gada 16. dec. · Rational Curves on K3 Surfaces. We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof … owl lifestyleTīmeklis2024. gada 9. jūl. · Rationality 24 rational curves on K3 surfaces Authors: Sławomir Rams Matthias Schuett Leibniz Universität Hannover Abstract Given d in IN, we … owl link email pgccTīmeklis1997. gada 30. janv. · Counting rational curves on K3 surfaces. Arnaud Beauville. The aim of these notes is to explain the remarkable formula found by Yau and Zaslow to express the number of rational curves on a K3 surface. Projective K3 surfaces fall into countably many families F (g) (g>0); a surface in F (g) admits a g-dimensional linear … ranking south african universitiesTīmeklis2024. gada 1. marts · If a surface represented as a family of elliptic curves is a $ K3 $-surface, it does not have multiple fibres. The Jacobi elliptic family constructed from … owl line art freeTīmeklis2024. gada 13. febr. · Vitamin K is a fat-soluble vitamin that affects coagulation pathways within the body. Vitamin K is found in foods and can be a dietary … owl light signsTīmeklis2024. gada 21. maijs · Rational curves on elliptic K3 surfaces. We prove that any non-isotrivial elliptic K3 surface over an algebraically closed field of arbitrary characteristic contains infinitely many rational curves. This result was previously known in characteristic zero due to the work of Bogomolov and Tschinkel. ranking spanish universitiesTīmeklisFrank Gounelas : Rational curves on K3 surfaces - YouTube Bogomolov and Mumford proved that every complex projective K3 surface contains a rational curve. Since … owllink prince george\\u0027s community college