Diophantine Approximation on Abelian Varieties in Characteristic p

DOI10.2307/2374961zbMath0855.11029OpenAlexW1997124090MaRDI QIDQ4853432

José Felipe Voloch

Publication date: 19 December 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374961

zbMATH Keywords

prime characteristicfiniteness of integral pointsabelian variety over a function field

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35) Algebraic theory of abelian varieties (14K05) Algebraic functions and function fields in algebraic geometry (14H05) Diophantine approximation, transcendental number theory (11J99)

Related Items (13)

SEMIABELIAN VARIETIES OVER SEPARABLY CLOSED FIELDS, MAXIMAL DIVISIBLE SUBGROUPS, AND EXACT SEQUENCES ⋮ Infinitely \(p\)-divisible points on abelian varieties defined over function fields of characteristic \(p>0\) ⋮ Parabolicity conjecture of \(F\)-isocrystals ⋮ On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic. II ⋮ Noninvariance of weak approximation properties under extension of the ground field ⋮ Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields ⋮ Higher Heegner points on elliptic curves over function fields. ⋮ The Brauer-Manin-Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog ⋮ Integrality estimates in orbits over function fields ⋮ The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields ⋮ Selmer groups over \(\mathbb Z_p^d\)-extensions ⋮ Primes generated by elliptic curves ⋮ Periods of ordinary abelian varieties in characteristic p

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