منابع مشابه
A Proof of the André - Oort Conjecture via Mathematical Logic
INTRODUCTION Extending work of Bombieri and Pila on counting lattice points on convex curves [3], Pila and Wilkie proved a strong counting theorem on the number of rational points in a more general class of sets definable in an o-minimal structure on the real numbers [37]. Following a strategy proposed by Zannier, the Pila-Wilkie upper bound has been leveraged against Galois-theoretic lower bou...
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In order to state the conjecture mentioned in the title, we need to recall some terminology and results on Shimura varieties; as a general reference for these, we use [19, Sections 1–2]. So let S := ResC/RGm,C be the algebraic group over R obtained by restriction of scalars from C to R of the multiplicative group. For V an R-vector space, it is then equivalent to give an RHodge structure or an ...
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We consider anti-Ramsey type results. For a given coloring ∆ of the k-element subsets of an n-element set X, where two k-element sets with nonempty intersection are colored differently, let inj∆(k, n) be the largest size of a subset Y ⊆ X, such that the k-element subsets of Y are colored pairwise differently. Taking the minimum over all colorings, i.e. inj(k, n) = min∆ {inj∆(k, n)}, it is shown...
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An international pioneer of endosseous dental implant investigation and an esteemed dental educator from Berne, Switzerland, Professor André Schroeder was recently recognized by the Academy of Osseointegration with Honorary Fellowship in the Academy. In bestowing its highest honor on Professor Schroeder, the Academy paid tribute to one of the unsung giants in the field. His long and productive ...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2012
ISSN: 0003-486X
DOI: 10.4007/annals.2012.176.1.13