Commutative Algebraic Groups and Intersections of Quadrics.
F. Knop, H. Lange (1984)
Mathematische Annalen
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F. Knop, H. Lange (1984)
Mathematische Annalen
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Kharazishvili, Aleksander (2015-10-26T10:15:31Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Nguyen Quoc Tang (1996)
Mathematische Zeitschrift
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Stéphane Fischler (2001)
Acta Arithmetica
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Li, Gongbao, Martio, Olli (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Delaunay, Christophe (2001)
Experimental Mathematics
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F. Knop, H. Lange (1985)
Commentarii mathematici Helvetici
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Mamoru Takeuchi (2005)
Acta Arithmetica
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Yi Ouyang, Shenxing Zhang (2015)
Acta Arithmetica
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We use the so-called second 2-descent method to find several series of non-congruent numbers. We consider three different 2-isogenies of the congruent elliptic curves and their duals, and find a necessary condition to estimate the size of the images of the 2-Selmer groups in the Selmer groups of the isogeny.
J. Huisman (1992)
Mathematische Annalen
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Banaszczyk, Maria Zofia, Chądzyńska, Alina (2015-11-09T13:37:34Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Nguyen, Van Man (2015-12-15T14:29:44Z)
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Wacław Szymański (1977)
Annales Polonici Mathematici
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Noriko Hirata-Kohno (1991)
Inventiones mathematicae
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Batikyan, B.T. (2000)
Lobachevskii Journal of Mathematics
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Anand Pillay (2002)
Banach Center Publications
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We make some observations relating the theory of finite-dimensional differential algebraic groups (the ∂₀-groups of [2]) to the Galois theory of linear differential equations. Given a differential field (K,∂), we exhibit a surjective functor from (absolutely) split (in the sense of Buium) ∂₀-groups G over K to Picard-Vessiot extensions L of K, such that G is K-split iff L = K. In fact we give a generalization to "K-good" ∂₀-groups. We also point out that the "Katz group" (a certain linear...
Maria Rosaria Enea (1995)
Forum mathematicum
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G.B. SELIGMAN (1968)
Inventiones mathematicae
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