منابع مشابه
Ju n 20 09 LINEAR GROWTH FOR CHÂTELET SURFACES
— An upper bound of the expected order of magnitude is established for the number of Q-rational points of bounded height on Châtelet surfaces defined over Q.
متن کاملLINEAR GROWTH FOR CHÂTELET SURFACES by
— An upper bound of the expected order of magnitude is established for the number of Q-rational points of bounded height on Châtelet surfaces defined over Q.
متن کامل0 Fe b 20 09 THE HASSE PRINCIPLE FOR CHÂTELET SURFACES IN CHARACTERISTIC 2
Given any global field k of characteristic 2, we construct a Châtelet surface over k which fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction. This construction extends a result of Poonen to characteristic 2, thereby showing that the étale-Brauer obstruction is insufficient to explain all failures of the Hasse principle over a global field of any characteris...
متن کاملLinear theory of unstable growth on rough surfaces
Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W (t) is governed by three length scales: The characteristic scale l0 of the substrate roughness, the terrace size lD and the Ehrlich-Schwoebel length lES . If lES ≪ lD (weak step edge barriers) and l0 ≪ lm ∼ lD √ lD/lES , then W (t) displays a minimum at a coverage θmi...
متن کاملAffine Isoperimetric Inequalities for Piecewise Linear Surfaces
We consider affine analogues of the isoperimetric inequality in the sense of piecewise linear (PL) manifolds. Given a closed polygon P having n edges, embedded in R, we give upper and lower bounds for the minimal number of triangles t needed to form a triangulated PL surface embedded in R having P as its geometric boundary. More generally we obtain such bounds for a triangulated (locally flat) ...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2009
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-009-0383-z