Cover Image

The Pythagoras number of fields of transcendence degree $1$ over $\mathbb{Q}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Benoist, Olivier
Format:	Preprint
Published:	2025
Subjects:	Algebraic Geometry Number Theory 11E25, 11E12, 14G25, 14G12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Separable algebras and coflasque resolutions
by: Ballard, Matthew R., et al.
Published: (2020)

Fibration theorems for varieties with the weak Hilbert property
by: Petersen, Sebastian
Published: (2025)

Patching for étale algebras and the period-index problem for higher degree Galois cohomology groups over Hensel semi-global fields
by: Wang, Yidi
Published: (2023)

Local-global principle for groups of type An over semi global fields
by: Suresh, V.
Published: (2024)

Arithmetics of homogeneous spaces over $p$-adic function fields
by: Linh, Nguyen Manh
Published: (2022)

The Uniform Mordell-Lang Conjecture
by: Gao, Ziyang, et al.
Published: (2021)

Integral embeddings of central simple algebras over number fields
by: Xie, Jiaqi, et al.
Published: (2025)

Ranks of abelian varieties in cyclotomic twist families
by: Shnidman, Ari, et al.
Published: (2021)

Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
by: Demeio, Julian Lawrence, et al.
Published: (2023)

Linearization of finite subgroups of Cremona groups over non-closed fields
by: Kunyavskii, Boris
Published: (2025)

Local-global principles for semi-integral points on Markoff orbifold pairs
by: Mitankin, Vladimir, et al.
Published: (2024)

Étale cohomology of algebraic varieties over Stein compacta
by: Benoist, Olivier
Published: (2023)

Pythagoras number of quartic orders containing $\sqrt{2}$
by: He, Zilong, et al.
Published: (2022)

Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
by: Aubry, Yves, et al.
Published: (2026)

Revisiting the moduli space of 8 points on $\mathbb{P}^1$
by: Hulek, Klaus, et al.
Published: (2022)

The wild McKay correspondence and $p$-adic measures
by: Yasuda, Takehiko
Published: (2014)

Motivic integration over wild Deligne-Mumford stacks
by: Yasuda, Takehiko
Published: (2019)

On the field of meromorphic functions on a Stein surface
by: Benoist, Olivier
Published: (2024)

Generalized Campana points and adelic approximation on toric varieties
by: Moerman, Boaz
Published: (2024)

A Gersten complex on real schemes
by: Jin, Fangzhou, et al.
Published: (2020)

Generators of the plane Cremona group over the field with two elements
by: Schneider, Julia
Published: (2020)

Fano Shimura varieties with mostly branched cusps
by: Maeda, Yota, et al.
Published: (2021)

Effective Bertini theorems and zeros of $p$-adic forms of degrees 7 and 11
by: Beneish, Lea, et al.
Published: (2025)

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics
by: Derickx, Maarten, et al.
Published: (2025)

Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields
by: Abdon, Miriam, et al.
Published: (2025)

Number fields generated by points in linear systems on curves
by: Balçik, Irmak, et al.
Published: (2025)

The Degree of Irrationality of del Pezzo Surfaces
by: Logan, Adam, et al.
Published: (2025)

On the irreducibility of $f(2^n,3^m,X)$ and other such polynomials
by: Bary-Soroker, Lior, et al.
Published: (2024)

K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via quasi-$F$-split singularities and GPU acceleration
by: Batubara, Ryan, et al.
Published: (2025)

Tate classes on self-products of Abelian varieties over finite fields
by: Zarhin, Yuri G.
Published: (2020)

Improvements on dimension growth results and effective Hilbert's irreducibility theorem
by: Cluckers, Raf, et al.
Published: (2023)

Pullback Method with Applications to Severi--Brauer Fibrations
by: Biswas, Mridul, et al.
Published: (2024)

Refined obstructions to local-global principles for 0-cycles
by: Balestrieri, Francesca, et al.
Published: (2026)

The Shafarevich conjecture for varieties with globally generated cotangent
by: Krämer, Thomas, et al.
Published: (2025)

An arithmetic intersection for squares of elliptic curves with complex multiplication
by: García, Elisa Lorenzo, et al.
Published: (2024)

A threefold violating a local-to-global principle for rationality
by: Frei, Sarah, et al.
Published: (2023)

An $l$-adic norm residue epimorphism theorem
by: Kahn, Bruno
Published: (2024)

Orbifold pseudo-effective cones of toric stacks
by: Darda, Ratko, et al.
Published: (2025)

Algebraic cycles and values of Green's functions I- Products of Elliptic Curves
by: Sreekantan, Ramesh
Published: (2025)

A proof of a conjecture on permutation trinomials
by: Bartoli, Daniele, et al.
Published: (2024)