We study weak approximation with Brauer-Manin obstruction with respect to extensions of number fields.For any nontrivial extension L/K,assuming a conjecture of M.Stoll,we prove that there exists a K-threefold satisfyi...
Partially supported by NSFC(No.11901033);the General Project of Science and Technology Plan of Beijing Municipal Education Commission(No.KM202011417012)
supported by National Natural Science Foundation of China(Grant No.12071448);Anhui Initiative in Quantum Information Technologies(Grant No.AHY150200)。
The Brauer-Manin obstruction is conjectured to be the only obstruction to weak approximation for zero-cycles on proper smooth varieties defined over number fields.We prove that the conjecture is compatible for product...
In this paper we define the notion of Brauer Clifford group for(S,■)-Azumaya algebras when S is a commutative algebra and■is a(k,S)-Lie algebra over a commutative ring k.This is the situation that arises in applicat...
National Natural Science Foundation of China(Grant Nos.11622111,11631009,11621061 and 11688101)。
Let X be a toric variety over a number field k with k[X]×=k×.Let W■X be a closed subset of codimension at least 2.We prove that X\W satisfies strong approximation with algebraic Brauer-Manin obstruction.
This work was supported by the National Natural Science Foundation of China(Grant No.11671228).
In this paper,we establish some Brauer-type bounds for the spectral radius of Hadamard product of two nonnegative tensors based on Brauer-type inclusion set,which are shown to be sharper than the existing bounds estab...