Results 51 to 60 of about 10,492,721 (271)
On the number of homotopy types of fibres of a definable map [PDF]
, 2007 In this paper we prove a single exponential upper bound on the number of possible homotopy types of the fibres of a Pfaffian map, in terms of the format of its graph.
Basu, Saugata, Vorobjov, Nicolai
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On the algebraic unknotting number
Transactions of the London Mathematical Society, 2014 The algebraic unknotting number of a knot was introduced by Hitoshi Murakami. It equals the minimal number of crossing changes needed to turn into an Alexander polynomial one knot. In a previous paper, the authors used the Blanchfield form of a knot to define an invariant and proved that .
Maciej Borodzik, Stefan Friedl
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Effective Irrationality Measures and Approximation by Algebraic Conjugates
, 2010 In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers.
Voutier, Paul
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On the approximation to algebraic numbers by algebraic numbers
Glasnik Matematicki, 2009 Let n be a positive integer. Let ξ be an algebraic real number of degree greater than n. It follows from a deep result of W. M. Schmidt that, for every positive real number e, there are infinitely many algebraic numbers α of degree at most n such that |ξ−α| < H(α)−n−1+e, where H(α) denotes the naive height of α. We sharpen this result by replacing e by
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Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009 34 ...
Yann Bugeaud, Jan-Hendrik Evertse
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On two notions of complexity of algebraic numbers
, 2007 we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number.
Bugeaud, Yann, Evertse, Jan-Hendrik
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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
International Journal of Mathematics and Mathematical Sciences, 2012 A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
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Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]
Épijournal de Géométrie Algébrique, 2019 We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
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On algebraic approximations of certain algebraic numbers
Journal of Number Theory, 2003 The main result of the present paper consists of an effective improvement on Liouville's bound for the approximations by rational numbers to algebraic numbers of a special type. Namely, the author considers \(n\)-th roots of imaginary quadratic irrationals.
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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