[图书][B] The Brauer-Grothendieck group
JL Colliot-Thélène, AN Skorobogatov - 2021 - Springer
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Page 1 The Brauer– Grothendieck Group
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Ergebnisse der Mathematik und ihrer …
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Ergebnisse der Mathematik und ihrer …
Integral Hasse principle and strong approximation for Markoff surfaces
D Loughran, V Mitankin - International Mathematics Research …, 2021 - academic.oup.com
Integral Hasse Principle and Strong Approximation for Markoff Surfaces Page 1 D. Loughran
and V. Mitankin (2021) “Integral Hasse Principle and Strong Approximation for Markoff …
and V. Mitankin (2021) “Integral Hasse Principle and Strong Approximation for Markoff …
Diagonal quartic surfaces with a Brauer–Manin obstruction
T Santens - Compositio Mathematica, 2023 - cambridge.org
In this paper we investigate the quantity of diagonal quartic surfaces which have a Brauer–
Manin obstruction to the Hasse principle. We are able to find an asymptotic formula for the …
Manin obstruction to the Hasse principle. We are able to find an asymptotic formula for the …
Rational points on del Pezzo surfaces of degree four
V Mitankin, C Salgado - International Journal of Number Theory, 2022 - World Scientific
Rational points on Del Pezzo surfaces of degree four Page 1 International Journal of Number
Theory Vol. 18, No. 9 (2022) 2099–2127 © World Scientific Publishing Company DOI …
Theory Vol. 18, No. 9 (2022) 2099–2127 © World Scientific Publishing Company DOI …
Many cubic surfaces contain rational points
TD Browning - Mathematika, 2017 - Wiley Online Library
MANY CUBIC SURFACES CONTAIN RATIONAL POINTS - Browning - 2017 - Mathematika -
Wiley Online Library Skip to Article Content Skip to Article Information London Mathematical …
Wiley Online Library Skip to Article Content Skip to Article Information London Mathematical …
The leading constant for rational points in families
D Loughran, N Rome, E Sofos - arXiv preprint arXiv:2210.13559, 2022 - arxiv.org
arXiv:2210.13559v4 [math.NT] 15 Mar 2023 Page 1 arXiv:2210.13559v4 [math.NT] 15 Mar
2023 THE LEADING CONSTANT FOR RATIONAL POINTS IN FAMILIES DANIEL LOUGHRAN …
2023 THE LEADING CONSTANT FOR RATIONAL POINTS IN FAMILIES DANIEL LOUGHRAN …
Hasse principle violation for algebraic families of del Pezzo surfaces of degree 4 and hyperelliptic curves of genus congruent to 1 modulo 4
K Huang, Y Liang - arXiv preprint arXiv:2312.11204, 2023 - arxiv.org
Let g be a positive integer congruent to 1 modulo 4 and K be an arbitrary number field. We
construct infinitely many explicit one-parameter algebraic families of degree 4 del Pezzo …
construct infinitely many explicit one-parameter algebraic families of degree 4 del Pezzo …
Une liste de problèmes
JL Colliot-Thélène - Mathematics Going Forward: Collected Mathematical …, 2022 - Springer
I collect a number of open problems on the arithmetic—in a broad sense—of rationally
connected varieties, such as Fano varieties or homogeneous spaces of connected linear …
connected varieties, such as Fano varieties or homogeneous spaces of connected linear …
Integral points on twisted Markoff surfaces
S Chen - Journal of Number Theory, 2021 - Elsevier
We study the integral Hasse principle for affine varieties of the shape ax 2+ y 2+ z 2− xyz= m,
using the Brauer–Manin obstruction, and we produce examples whose Brauer groups …
using the Brauer–Manin obstruction, and we produce examples whose Brauer groups …