Results 1 to 10 of about 13,876 (98)

Uniform bounds for the number of rational points on varieties over global fields

Algebra and Number Theory, 2022
v4: final version. Fixed some typos and errors pointed out by the referee. To appear in Algebra and Number Theory.
Paredes, Marcelo Exequiel, Sasyk, Roman
exaly   +5 more sources

Hasse principle for three classes of varieties over global function fields [PDF]

Duke Mathematical Journal, 2017
48 pages.
Zhiyu Tian
exaly   +5 more sources

On Euler characteristics of Selmer groups for abelian varieties over global function fields [PDF]

Archiv Der Mathematik, 2016
Let $F$ be a global function field of characteristic $p>0$, $K/F$ an $\ell$-adic Lie extension ($\ell\neq p$) and $A/F$ an abelian variety. We provide Euler characteristic formulas for the $Gal(K/F)$-module $Sel_A(K)_\ell$.
Maria Valentino
exaly   +3 more sources

On Selmer groups of abelian varieties over ℓ-adic Lie extensions of global function fields [PDF]

Bulletin of the Brazilian Mathematical Society, 2014
Let $F$ be a global function field of characteristic $p>0$ and $A/F$ an abelian variety. Let $K/F$ be an $ł$-adic Lie extension ($ł\neq p$) unramified outside a finite set of primes $S$ and such that $\Gal(K/F)$ has no elements of order $ł$. We shall prove that, under certain conditions, $Sel_A(K)_ł^\vee$ has no nontrivial pseudo-null submodule.
Andrea Bandini, Maria Valentino
exaly   +7 more sources

Rational points of rationally simply connected varieties over global function fields [PDF]

Annales Henri Lebesgue, 2020
For a complex projective manifold that is rationally connected, resp. rationally simply connected, every finite subset is connected by a rational curve, resp. the spaces parameterizing these connecting rational curves are themselves rationally connected.
Chenyang Xu
exaly   +4 more sources

Universal Norms on Abelian Varieties over Global Function Fields

Journal of Number Theory, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matthew A Papanikolas
exaly   +3 more sources

Abelian varieties not isogenous to Jacobians over global fields

Duke Mathematical Journal
We prove the existence of abelian varieties not isogenous to Jacobians over characterstic $p$ function fields. Our methods involve studying the action of degree $p$ Hecke operators on hypersymmetric points, as well as their effect on the formal neighborhoods using Serre Tate co-ordinates. We moreover use our methods to provide another proof over number
Jacob Tsimerman
exaly   +3 more sources

Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic [PDF]

Proceedings of the American Mathematical Society, 2021
We state and prove certain cases of the equivariant Tamagawa number conjecture of a semistable Abelian variety over an everywhere unramified finite Galois extension of a global field of characteristic p
Trihan, Fabien, Vauclair, David
openaire   +4 more sources

The inverse sieve problem for algebraic varieties over global fields [PDF]

Revista Matemática Iberoamericana, 2020
Let K be a global field and let Z be a geometrically irreducible algebraic variety defined over K
Menconi, Juan Manuel, Paredes, Marcelo, Sasyk, Román   +2 more
openaire   +3 more sources

Understanding Dense Time Series of Sentinel-1 Backscatter from Rice Fields: Case Study in a Province of the Mekong Delta, Vietnam

Remote Sensing, 2021
Rice is the primary staple food of more than half of the world’s population and plays an especially important role in global economy, food security, water use, and climate change.
Hoa Phan, Thuy Le Toan, Alexandre Bouvet
doaj   +1 more source