Results 11 to 20 of about 48,794 (204)
Bounds on the torsion subgroups of Néron–Severi groups [PDF]
Transactions of the American Mathematical Society, 2020 Let X ↪ P r X \hookrightarrow \mathbb {P}^r be a smooth projective variety defined by homogeneous polynomials of degree ≤ d \leq d . We give an explicit upper bound on the order of the torsion subgroup ( NS
Hyuk Jun Kweon
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Torsion generators of the twist subgroup [PDF]
Tohoku Mathematical Journal, 2022 10 pages, 6 figures.
Tüli̇n Altunöz +2 more
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Two-Torsion Subgroups of some Modular Jacobians [PDF]
International Journal of Number Theory, 2022 We give a practical method to compute the 2-torsion subgroup of the Jacobian of a non-hyperelliptic curve of genus 3, 4 or 5. The method is based on the correspondence between the 2-torsion subgroup and the theta hyperplanes to the curve. The correspondence is used to explicitly write down a zero-dimensional scheme whose points correspond to elements ...
Elvira Lupoian
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The p-torsion subgroup scheme of an elliptic curve [PDF]
Journal of Number Theory, 2011 Let $k$ be a field of positive characteristic $p$. Question: Does every twisted form of $ _p$ over $k$ occur as subgroup scheme of an elliptic curve over $k$? We show that this is true for most finite fields, for local fields and for fields of characteristic $p\leq11$.
Christian Liedtke
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On the torsion subgroups of the modular Jacobians [PDF]
, 2017 For any positive integer $N$, we prove that the rational torsion subgroup of $J_0(N)$ agrees with its rational cuspidal subgroups up to a factor of $6N\prod_{p\mid N}(p^2-1)$. Moreover, for modular Jacobians of the form $J_0(DC)$ with $D$ a positive square-free integer and $C$ any positive divisor of $D$, we prove that the $ $-part of the torsion ...
Yuan Ren
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Torsion-free subgroups of triangle groups [PDF]
Proceedings of the American Mathematical Society, 1971 Certain torsion-free subgroups of various triangle groups are considered, the proof of their existence, and in some cases their calculation outlined. There is one section which treats certain specific triangle groups, and one which treats the general case.
R. D. Feuer
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Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree [PDF]
Let $K$ be a field of characteristic $0$ and $E/K$ an elliptic curve over $K$. For a finite extension $L/K$ and a prime~$\ell$, we provide Galois-theoretic sufficient conditions on $L/K$ under which $E\left(L\right)\left[\ell^{\infty}\right] = E\left(K\right)\left[\ell^{\infty}\right]$.
Bo‐Hae Im, Hansol Kim
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A note on torsion length and torsion subgroups
Journal of Group Theory, 2022 Abstract Answering Questions 19.23 and 19.24 from the Kourovka notebook, we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
Leary, Ian, Minasyan, Ashot
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Pure subgroups of torsion-free groups [PDF]
Transactions of the American Mathematical Society, 1987 In this paper, we show that certain new notions of purity stronger than the classical concept are relevant to the study of torsion-free abelian groups. In particular, implications of ∗ {\ast } -purity, a concept introduced in one of our recent papers, are investigated. We settle an open question (posed by Nongxa) by proving
Hill, Paul, Megibben, Charles
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Torsion free subgroups of Fuchsian groups and tessellations of surfaces [PDF]
Inventiones Mathematicae, 1982 Allan L. Edmonds +2 more
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