منابع مشابه
On metric heights
Metric heights are modified height functions on the non-zero algebraic numbers Q ∗ which can be used to define a metric on certain cosets of Q ∗ . They have been defined with a view to eventually applying geometric methods to the study of Q ∗ . In this paper we discuss the construction of metric heights in general. More specifically, we study in some detail the metric height obtained from the n...
متن کاملon semihypergroups and hypergroups
in this thesis, first the notion of weak mutual associativity (w.m.a.) and the necessary and sufficient condition for a $(l,gamma)$-associated hypersemigroup $(h, ast)$ derived from some family of $lesssim$-preordered semigroups to be a hypergroup, are given. second, by proving the fact that the concrete categories, semihypergroups and hypergroups have not free objects we will introduce t...
15 صفحه اولCanonical Heights on Hyperelliptic Curves
We describe an algorithm to compute canonical heights of points on hyperelliptic curves over number fields, using Arakelov geometry. We include a worked example for illustration purposes.
متن کاملOn 3-adic Heights on Elliptic Curves
In 2006, Mazur, Stein, and Tate [4] gave an algorithm for computing p-adic heights on elliptic curves E over Q for good, ordinary primes p ≥ 5. Their work makes essential use of Kedlaya’s algorithm [3], where the action of Frobenius is computed on a certain basis of the first de Rham cohomology of E, with E given by a “short” Weierstrass model. Kedlaya’s algorithm requires that the working mode...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
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ژورنال
عنوان ژورنال: The Geographical Journal
سال: 1921
ISSN: 0016-7398
DOI: 10.2307/1780492