Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension $g>1$
Fuente:
arXiv
Saved in:
| Main Author: | Maidana, Alejandro J. Giangreco |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Some arithmetic properties of Weil polynomials of the form $t^{2g}+at^g+q^g$
by: Giangreco-Maidana, Alejandro J.
Published: (2020)
by: Giangreco-Maidana, Alejandro J.
Published: (2020)
Abelian surfaces over finite fields containing no curves of genus $3$ or less
by: Berardini, Elena, et al.
Published: (2024)
by: Berardini, Elena, et al.
Published: (2024)
Polarizations of abelian varieties over finite fields via canonical liftings
by: Bergström, Jonas, et al.
Published: (2021)
by: Bergström, Jonas, et al.
Published: (2021)
Finiteness properties of torsion fields of abelian varieties
by: Gajda, Wojciech, et al.
Published: (2024)
by: Gajda, Wojciech, et al.
Published: (2024)
Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms
by: Bergström, Jonas, et al.
Published: (2024)
by: Bergström, Jonas, et al.
Published: (2024)
On the computation of endomorphism rings of abelian surfaces over finite fields
by: Anni, Samuele, et al.
Published: (2025)
by: Anni, Samuele, et al.
Published: (2025)
Existence of global Néron models beyond semi-abelian varieties
by: Overkamp, Otto, et al.
Published: (2023)
by: Overkamp, Otto, et al.
Published: (2023)
Cohomology of varieties over the maximal Kummer extension of a number field
by: Lombardo, Davide, et al.
Published: (2025)
by: Lombardo, Davide, et al.
Published: (2025)
Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field
by: Goodman, Pip
Published: (2021)
by: Goodman, Pip
Published: (2021)
On the finiteness of maps into simple abelian varieties satisfying certain tangency conditions
by: Bartsch, Finn
Published: (2025)
by: Bartsch, Finn
Published: (2025)
Arithmetic rank bounds for abelian varieties over function fields
by: Boudreau, Félix Baril, et al.
Published: (2023)
by: Boudreau, Félix Baril, et al.
Published: (2023)
Isogeny graphs of superspecial abelian varieties and Brandt matrices
by: Jordan, Bruce W., et al.
Published: (2020)
by: Jordan, Bruce W., et al.
Published: (2020)
Tate classes on self-products of Abelian varieties over finite fields
by: Zarhin, Yuri G.
Published: (2020)
by: Zarhin, Yuri G.
Published: (2020)
Galois groups of simple abelian varieties over finite fields and exceptional Tate classes
by: Arango-Piñeros, Santiago, et al.
Published: (2025)
by: Arango-Piñeros, Santiago, et al.
Published: (2025)
Explicit open image theorems for abelian varieties with trivial endomorphism ring
by: Bisatt, Matthew, et al.
Published: (2015)
by: Bisatt, Matthew, et al.
Published: (2015)
Rationality and arithmetic of the moduli of abelian varieties
by: Loughran, Daniel, et al.
Published: (2023)
by: Loughran, Daniel, et al.
Published: (2023)
Abelian varieties over finite fields and their groups of rational points
by: Marseglia, Stefano, et al.
Published: (2022)
by: Marseglia, Stefano, et al.
Published: (2022)
Galois groups of low dimensional abelian varieties over finite fields
by: Arango-Piñeros, Santiago, et al.
Published: (2024)
by: Arango-Piñeros, Santiago, et al.
Published: (2024)
Every finite abelian group is the group of rational points of an ordinary abelian variety over $\mathbb{F}_2$, $\mathbb{F}_3$ and $\mathbb{F}_5$
by: Marseglia, Stefano, et al.
Published: (2021)
by: Marseglia, Stefano, et al.
Published: (2021)
Intersections of the automorphism and the Ekedahl-Oort strata in $M_2$
by: Gonzalez-Hernandez, Alvaro
Published: (2025)
by: Gonzalez-Hernandez, Alvaro
Published: (2025)
Variation of height in an isogeny class over a function field
by: Griffon, Richard, et al.
Published: (2025)
by: Griffon, Richard, et al.
Published: (2025)
CM-liftability of simple superspecial abelian surfaces over prime fields
by: Yang, Hsin-Yi
Published: (2026)
by: Yang, Hsin-Yi
Published: (2026)
When is a polarised abelian variety determined by its $\boldsymbol{p}$-divisible group?
by: Ibukiyama, Tomoyoshi, et al.
Published: (2022)
by: Ibukiyama, Tomoyoshi, et al.
Published: (2022)
On Special Subvarieties of the Universal Semi-abelian Scheme and Pink Conjectures
by: Gu, Kaiyuan, et al.
Published: (2024)
by: Gu, Kaiyuan, et al.
Published: (2024)
Uniform boundedness of small points on abelian varieties over function fields
by: Looper, Nicole, et al.
Published: (2026)
by: Looper, Nicole, et al.
Published: (2026)
Integral torsion points on abelian varieties over function fields
by: de Jong, Robin, et al.
Published: (2026)
by: de Jong, Robin, et al.
Published: (2026)
Descent properties for an abelian variety with extended Galois representation
by: Felder, Ludovic
Published: (2026)
by: Felder, Ludovic
Published: (2026)
Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture
by: Banerjee, Kalyan
Published: (2025)
by: Banerjee, Kalyan
Published: (2025)
Faltings extension and Hodge-Tate filtration for abelian varieties over $p$-adic local fields with imperfect residue fields
by: He, Tongmu
Published: (2020)
by: He, Tongmu
Published: (2020)
Torsion of Abelian varieties over solvable extensions of number fields
by: Huryn, Jake
Published: (2025)
by: Huryn, Jake
Published: (2025)
Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves
by: Pengo, Riccardo, et al.
Published: (2023)
by: Pengo, Riccardo, et al.
Published: (2023)
Monodromy groups and exceptional Hodge classes, II: Sato-Tate groups
by: Gallese, Andrea, et al.
Published: (2025)
by: Gallese, Andrea, et al.
Published: (2025)
Data for Shimura varieties intersecting the Torelli locus
by: Li, Wanlin, et al.
Published: (2021)
by: Li, Wanlin, et al.
Published: (2021)
Monodromy Groups of Supersingular Abelian Surfaces over $\mathbb{Q}_p$
by: Chen, Moqing
Published: (2025)
by: Chen, Moqing
Published: (2025)
Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
by: Aubry, Yves, et al.
Published: (2026)
by: Aubry, Yves, et al.
Published: (2026)
Etale descent obstruction and anabelian geometry of curves over finite fields
by: Creutz, Brendan, et al.
Published: (2023)
by: Creutz, Brendan, et al.
Published: (2023)
Ordinary abelian varieties: isogeny graphs and polarizations
by: Costa, Edgar, et al.
Published: (2026)
by: Costa, Edgar, et al.
Published: (2026)
Supersingular Ekedahl-Oort strata and Oort's conjecture
by: Karemaker, Valentijn, et al.
Published: (2024)
by: Karemaker, Valentijn, et al.
Published: (2024)
Explicit supersingular cyclic curves
by: Streng, Marco
Published: (2025)
by: Streng, Marco
Published: (2025)
Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields
by: Abdon, Miriam, et al.
Published: (2025)
by: Abdon, Miriam, et al.
Published: (2025)
Similar Items
-
Some arithmetic properties of Weil polynomials of the form $t^{2g}+at^g+q^g$
by: Giangreco-Maidana, Alejandro J.
Published: (2020) -
Abelian surfaces over finite fields containing no curves of genus $3$ or less
by: Berardini, Elena, et al.
Published: (2024) -
Polarizations of abelian varieties over finite fields via canonical liftings
by: Bergström, Jonas, et al.
Published: (2021) -
Finiteness properties of torsion fields of abelian varieties
by: Gajda, Wojciech, et al.
Published: (2024) -
Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms
by: Bergström, Jonas, et al.
Published: (2024)