Strength is bounded linearly by Birch rank
Fuente:
arXiv
Saved in:
| Main Authors: | Baily, Benjamin, Lampert, Amichai |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Two improvements in Birch's theorem on forms
by: Lampert, Amichai, et al.
Published: (2024)
by: Lampert, Amichai, et al.
Published: (2024)
On rank in algebraic closure
by: Lampert, Amichai, et al.
Published: (2022)
by: Lampert, Amichai, et al.
Published: (2022)
Slice rank and analytic rank for trilinear forms
by: Lampert, Amichai
Published: (2024)
by: Lampert, Amichai
Published: (2024)
Strength and partition rank under limits and field extensions
by: Bik, Arthur, et al.
Published: (2025)
by: Bik, Arthur, et al.
Published: (2025)
Density of solutions for systems of forms
by: Lampert, Amichai
Published: (2025)
by: Lampert, Amichai
Published: (2025)
Polynomial Bounds for Birch's Theorem
by: Lampert, Amichai, et al.
Published: (2025)
by: Lampert, Amichai, et al.
Published: (2025)
The average rank of elliptic $n$-folds
by: Kloosterman, Remke
Published: (2010)
by: Kloosterman, Remke
Published: (2010)
Toric ranks and component groups of modular curves
by: Helminck, Paul Alexander
Published: (2024)
by: Helminck, Paul Alexander
Published: (2024)
Boundedness of trace fields of rank two local systems
by: Lam, Yeuk Hay Joshua
Published: (2022)
by: Lam, Yeuk Hay Joshua
Published: (2022)
Quantitative rank distribution conjecture over $\mathbb{F}_q(t)$
by: Park, Jun-Yong
Published: (2024)
by: Park, Jun-Yong
Published: (2024)
Picard rank jumps for K3 surfaces with bad reduction
by: Tayou, Salim
Published: (2022)
by: Tayou, Salim
Published: (2022)
The average Mordell-Weil rank of elliptic surfaces over number fields
by: Kloosterman, Remke
Published: (2022)
by: Kloosterman, Remke
Published: (2022)
Picard rank jumps for families of K3 surfaces in positive characteristic
by: Jiang, Ruofan, et al.
Published: (2026)
by: Jiang, Ruofan, et al.
Published: (2026)
Constructing abelian varieties from rank 3 Galois representations with real trace field
by: Krishnamoorthy, Raju, et al.
Published: (2024)
by: Krishnamoorthy, Raju, et al.
Published: (2024)
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture
by: Maulik, Davesh, et al.
Published: (2020)
by: Maulik, Davesh, et al.
Published: (2020)
A refined Chabauty--Coleman bound for surfaces
by: Balakrishnan, Jennifer S., et al.
Published: (2025)
by: Balakrishnan, Jennifer S., et al.
Published: (2025)
A Buium--Coleman bound for the Mordell--Lang conjecture
by: Dogra, Netan, et al.
Published: (2025)
by: Dogra, Netan, et al.
Published: (2025)
On the analytic rank of the twin prime elliptic curve $y^2=x(x-2)(x-p)$
by: Joshi, Kirti
Published: (2025)
by: Joshi, Kirti
Published: (2025)
The non-Archimedean Green--Griffiths--Lang--Vojta conjecture for commutative algebraic groups with unipotent rank 1
by: Morrow, Jackson S., et al.
Published: (2025)
by: Morrow, Jackson S., et al.
Published: (2025)
Eventual tightness of projective dimension growth bounds: quadratic in the degree
by: Cluckers, Raf, et al.
Published: (2024)
by: Cluckers, Raf, et al.
Published: (2024)
Lower bounds on heights of odd degree points of hyperelliptic curves
by: Laga, Jef, et al.
Published: (2025)
by: Laga, Jef, et al.
Published: (2025)
Height moduli of elliptic surfaces: Motivic height zeta rationality and Kudla-Millson modularity of Mordell-Weil rank jumps
by: Park, Jun-Yong
Published: (2026)
by: Park, Jun-Yong
Published: (2026)
Strong u-invariant and Period-Index bound for complete ultrametric fields
by: Mandal, Shilpi
Published: (2024)
by: Mandal, Shilpi
Published: (2024)
A generalized Schmidt's subspace theorem for algebraic points of bounded degree
by: Zhao, GuanHeng
Published: (2025)
by: Zhao, GuanHeng
Published: (2025)
Chevalley-Weil formula for hypersurfaces in $\mathbf{P}^n$-bundles over curves and Mordell-Weil ranks in function field towers
by: Kloosterman, Remke
Published: (2015)
by: Kloosterman, Remke
Published: (2015)
Improved, sublinear projective Schwartz-Zippel and (sub)quadratic dimension growth bounds in arbitrary codimension
by: Dehennin, Luca
Published: (2026)
by: Dehennin, Luca
Published: (2026)
Co-rank $1$ Arithmetic Siegel--Weil II: Local Archimedean
by: Chen, Ryan C.
Published: (2024)
by: Chen, Ryan C.
Published: (2024)
Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields
by: Binyamini, Gal, et al.
Published: (2024)
by: Binyamini, Gal, et al.
Published: (2024)
Co-rank $1$ Arithmetic Siegel--Weil III: Geometric local-to-global
by: Chen, Ryan C.
Published: (2024)
by: Chen, Ryan C.
Published: (2024)
Co-rank $1$ Arithmetic Siegel--Weil IV: Analytic local-to-global
by: Chen, Ryan C.
Published: (2024)
by: Chen, Ryan C.
Published: (2024)
Co-rank $1$ Arithmetic Siegel--Weil I: Local non-Archimedean
by: Chen, Ryan C.
Published: (2024)
by: Chen, Ryan C.
Published: (2024)
The spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$
by: Li, Benjamin, et al.
Published: (2024)
by: Li, Benjamin, et al.
Published: (2024)
CM points have everywhere good reduction
by: Bakker, Benjamin, et al.
Published: (2024)
by: Bakker, Benjamin, et al.
Published: (2024)
A linear AFL for quaternion algebras
by: Hultberg, Nuno, et al.
Published: (2023)
by: Hultberg, Nuno, et al.
Published: (2023)
Homology of loops on a splitting-rank symmetric space via the Geometric Satake for real groups
by: O'Brien, John
Published: (2023)
by: O'Brien, John
Published: (2023)
Survey on bounding Selmer groups for Rankin--Selberg motives
by: Liu, Yifeng, et al.
Published: (2025)
by: Liu, Yifeng, et al.
Published: (2025)
Patching and multiplicities of p-adic eigenforms
by: Hellmann, Eugen, et al.
Published: (2024)
by: Hellmann, Eugen, et al.
Published: (2024)
Symmetries of spaces and numbers -- anabelian geometry
by: Collas, Benjamin, et al.
Published: (2025)
by: Collas, Benjamin, et al.
Published: (2025)
Schwartz $κ$-densities for the moduli stack of rank $2$ bundles on a curve over a local field
by: Braverman, Alexander, et al.
Published: (2024)
by: Braverman, Alexander, et al.
Published: (2024)
Integral canonical models of exceptional Shimura varieties
by: Bakker, Benjamin, et al.
Published: (2024)
by: Bakker, Benjamin, et al.
Published: (2024)
Similar Items
-
Two improvements in Birch's theorem on forms
by: Lampert, Amichai, et al.
Published: (2024) -
On rank in algebraic closure
by: Lampert, Amichai, et al.
Published: (2022) -
Slice rank and analytic rank for trilinear forms
by: Lampert, Amichai
Published: (2024) -
Strength and partition rank under limits and field extensions
by: Bik, Arthur, et al.
Published: (2025) -
Density of solutions for systems of forms
by: Lampert, Amichai
Published: (2025)