Results 21 to 30 of about 230 (119)
Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Zero-Cycles and Measures of Irrationality for Abelian Varieties [PDF]
, 2020 In this thesis we make several advances in the study of the birational geometry of complex abelian varieties. We are mainly concerned with two birational invariants: the degree of irrationality and the covering gonality.
Martin, Olivier
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Analytic and rational sections of relative semi-abelian varieties [PDF]
, 2022 The hyperbolicity statements for subvarieties and complement of hypersurfaces in abelian varieties admit arithmetic analogues, due to Faltings, Ann. Math. 133 (1991) (and for the semi-abelian case, Vojta, Invent. Math. 126 (1996); Amer. J. Math.
Corvaja P., Zannier U., Noguchi J.
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Star configuration points and plane curves [PDF]
, 2011 Let ℓ 1 , … , ℓ l \ell _1,\ldots ,\ell _l be l l lines in P 2 \mathbb {P}^2 such ...
Carlini E. +5 more
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Equidistribution of small subvarieties of an abelian variety
, 2004 6 ...
Baker, Matthew, Ih, Su-ion
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Non-archimedean entire curves in closed subvarieties of semi-abelian varieties [PDF]
Mathematische Annalen, 2020 6 pages, comments welcome!
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Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
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Heights on a subvariety of an abelian variety
Journal of Number Theory, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Abelian subvarieties of bounded degree in a polarized Abelian variety
, 2021 If A is an Abelian variety, endowed with a polarization L, we study the function N_A(t) which counts the number of Abelian subvarieties S in A such that for the induced polarization L|_S the Euler characteristic χ(L|_S) is bounded above by t. We give an estimate for the asymptotic order of growth of this function.
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source