Results 1 to 10 of about 773,208 (320)

Specialization of the torsion subgroup of the Chow group [PDF]

Mathematische Zeitschrift, 2004
An example is given in which specialization is not injective.
Chad Schoen
semanticscholar   +6 more sources

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.
Elvira Lupoian
semanticscholar   +5 more sources

The rational torsion subgroup of J0(N) [PDF]

Advances in Mathematics, 2021
Let $N$ be a positive integer and let $J_0(N)$ be the Jacobian variety of the modular curve $X_0(N)$. For any prime $p\ge 5$ whose square does not divide $N$, we prove that the $p$-primary subgroup of the rational torsion subgroup of $J_0(N)$ is equal to that of the rational cuspidal divisor class group of $X_0(N)$, which is explicitly computed in ...
Hwajong Yoo
semanticscholar   +3 more sources

On the non-triviality of the torsion subgroup of the abelianized Johnson kernel [PDF]

Annales de l'Institut Fourier, 2022
The Johnson kernel is the subgroup of the mapping class group of a closed oriented surface that is generated by Dehn twists along separating simple closed curves.
Quentin Faes, Gwénaël Massuyeau
openalex   +2 more sources

A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves

Transactions of the London Mathematical Society, 2021
Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves ...
Garen Chiloyan, Álvaro Lozano‐Robledo
doaj   +2 more sources

On purifiable torsion-free rank-one subgroups [PDF]

Hokkaido Mathematical Journal, 2001
The paper deals with arbitrary (mixed) Abelian groups. The torsion-free subgroups of rank \(1\) that are (\(p\)-)purifiable, i.e., contained in a minimal (\(p\)-)pure subgroup (a (\(p\)-)pure hull), are characterized (Theorem~3.2). Theorem~2.9 probably contains what the author describes as ``the structure of pure hulls''.
Takashi Okuyama
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Galois endomorphisms of the torsion subgroup of certain formal groups [PDF]

Proceedings of the American Mathematical Society, 1969
THEOREM. Let A be the ring of integers in a field K of finite degree over the field Q, of p-adic numbers, K an algebraic closure of K, and G the Galois group of K over K. Let F be a one-parameter formal group defined over A, of finite height, that has an f EEndA(F) such that f'(0) is a prime element of A, and let 0 be a G-endomorphism of the group A(F)
Jonathan Lubin
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Galois theory, discriminants and torsion subgroup of elliptic curves [PDF]

Journal of Pure and Applied Algebra, 2008
New version, some typos fixed and the proof of the lemma in the Appendix has been ...
I. García-Selfa, Enrique González–Jiménez, J. Tornero   +2 more
semanticscholar   +6 more sources

Coronal alignment does not enable to predict the degree of femoral and tibial torsion [PDF]

Journal of Experimental Orthopaedics
Purpose Malalignment of the lower extremity can affect one, two or all three anatomic planes. We hypothesized an influence between the malalignment of the coronal and axial planes.
Leonard Grünwald, Sophie Schmidt, Marc‐Daniel Ahrend, Tina Histing, Stefan Döbele   +4 more
doaj   +2 more sources

Rational torsion in elliptic curves and the cuspidal subgroup [PDF]

Journal de Théorie des Nombres de Bordeaux, 2008
Let $A$ be an elliptic curve over $\Q$ of square free conductor $N$. We prove that if $A$ has a rational torsion point of prime order $r$ such that $r$ does not divide $6N$, then $r$ divides the order of the cuspidal subgroup of $J_0(N)$.
Amod Agashe
semanticscholar   +5 more sources