Failure of the Hasse principle on general surfaces
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Publication:2852319
DOI10.1017/S1474748012000904zbMath1286.11102arXiv1110.1738OpenAlexW2963041711MaRDI QIDQ2852319
Anthony Várilly-Alvarado, Brendan Hassett
Publication date: 8 October 2013
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1738
Related Items (11)
Iterating the algebraic étale-Brauer set ⋮ An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction ⋮ On stable rationality of Fano threefolds and del Pezzo fibrations ⋮ Odd order Brauer-Manin obstruction on diagonal quartic surfaces ⋮ Arithmetic of K3 Surfaces ⋮ Moduli spaces of sheaves on \(K3\) surfaces and Galois representations ⋮ On Brauer groups of double covers of ruled surfaces ⋮ Odd order obstructions to the Hasse principle on general K3 surfaces ⋮ Brauer-Manin obstructions on degree 2 \(K3\) surfaces ⋮ A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold ⋮ Rational points and derived equivalence
Uses Software
Cites Work
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- The Picard group of a \(K3\) surface and its reduction modulo \(p\)
- Néron-Severi groups under specialization
- Cubic surfaces with a Galois invariant double-six
- Transcendental obstructions to weak approximation on general \(K3\) surfaces
- Weak approximation on del Pezzo surfaces of degree 1
- Nikulin involutions on \(K3\) surfaces
- \(K3\) surfaces with Picard number one and infinitely many rational points
- Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
- Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
- The Magma algebra system. I: The user language
- Brauer groups of diagonal quartic surfaces
- Effectivity of Brauer-Manin obstructions
- Rational singularities, with applications to algebraic surfaces and unique factorization
- Some remarks on Brauer groups of \(K3\) surfaces
- 2-descent on elliptic curves and rational points on certain Kummer surfaces
- On the Brauer group of diagonal quartic surfaces
- Nontrivial elements of Sha explained through K3 surfaces
- On the computation of the Picard group for K3 surfaces
- The Brauer-Manin Obstruction and III[2]
- Diagonal quartic surfaces and transcendental elements of the Brauer group
- The Brauer–Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface
- A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
- Tate-Shafarevich groups and $K3$ surfaces
- Variétés de Prym et jacobiennes intermédiaires
- Brauer–Manin obstructions on some Del Pezzo surfaces
- The Brauer group of cubic surfaces
- On the arithmetic of del Pezzo surfaces of degree 2
- Descent on fibrations over the projective line
- CUBIC SURFACES WITH A GALOIS INVARIANT PAIR OF STEINER TRIHEDRA
- The Brauer-Manin obstruction on Del Pezzo surfaces of degree 2
- Elliptic K3 Surfaces with Geometric Mordell–Weil Rank 15
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