Search Results - "Boris M. Bekker"

Torsion points of small order on hyperelliptic curves by Bekker, Boris M., Zarhin, Yuri G.

“…Let C be a hyperelliptic curve of genus g > 1 over an algebraically closed field K of characteristic zero and O one of the ( 2 g + 2 ) Weierstrass points in C…”
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Milnor's Lemma, Newton's Method, and Continued Fractions by Bekker, Boris M, Ivanov, Oleg A, Merkurjev, Alexander S

“…Let f be a quadratic map of the Riemann sphere S2 into itself. Such a map has three fixed points, counted with multiplicity. Let ...1, ...2, and ...3 be the…”
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Milnor′s Lemma, Newton′s Method, and Continued Fractions by Boris M. Bekker, Oleg A. Ivanov, Alexander S. Merkurjev

“…Let f be a quadratic map of the Riemann sphere S 2 into itself. Such a map has three fixed points, counted with multiplicity. Let μ 1, μ2, and μ 3 be the…”
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Torsion points of small order on cyclic covers of $\mathbb P^1 by Bekker, Boris M, Zarhin, Yuri G

“…Let $d\geq 2$ be a positive integer, $K$ an algebraically closed field of characteristic not dividing $d$, $n\geq d+1$ a positive integer that is prime to $d$,…”
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Torsion points of small order on hyperelliptic curves by Bekker, Boris M, Zarhin, Yuri G

“…Let $C$ be a hyperelliptic curve of genus $g>1$ over an algebraically closed field $K$ of characteristic zero and $O$ one of the $(2g+2)$ Weierstrass points in…”
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Torsion Points of order 2g+1 on odd degree hyperelliptic curves of genus g by Bekker, Boris M, Zarhin, Yuri G

“…Let $K$ be an algebraically closed field of characteristic different from $2$, $g$ a positive integer, $f(x)\in K[x]$ a degree $2g+1$ monic polynomial without…”
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Families of elliptic curves with rational torsion points of even order by Bekker, Boris M, Zarhin, Yuri G

“…This paper is a follow up of arXiv:1702.02255 [math.NT]. We construct explicitly versal families of elliptic curves with rational points of order 4, 6, 8, 10,…”
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The divisibility by 2 of rational points on elliptic curves by Bekker, Boris M, Zarhin, Yuri G

“…We give a simple proof of the well-known divisibility by 2 condition for rational points on elliptic curves with rational 2-torsion. As an application of the…”
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