8 citations · 16 across the 15 of their papers we have counts for
15 papers
The Brauer-Manin obstruction on algebraic stacks
Chang Lv, Han Wu
For algebraic stacks over number fields, we define their Brauer-Manin sets, Brauer-Manin pairings, and extend the descent theory of Colliot-Thélène and Sansuc. By extending Sansuc'…
Genus one half stacky curves violating the local-global principle
Han Wu, Chang Lv
For any number field, we prove that there exists a stacky curve of genus one half defined over the ring of its integers violating the local-global principle for integral points.
On commutative diagrams consisting of low term exact sequences
Chang Lv
We establish several useful commutative diagrams consisting of low term exact sequences attached to {\Grot} spectral sequences, which extends and integrates the previous ones appea…
Constant Tamagawa numbers of special elliptic curves
Luying Li, Chang Lv
For the elliptic curves , which has 2-isogeny curve , , where are…
The second descent obstruction and gerbes
Chang Lv
We extend the notion of rational points and cohomological obstructions on varieties to categories fibred in groupoids. We also establish the generalized theory of descent by torsor…
A note on the Brauer group and the Brauer-Manin set of a product
Chang Lv
We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer-Manin sets) with taking product of two varieties, by relaxing the co…
On Ring Class Fields of Number Rings
Hairong Yi, Chang Lv
For a number field , we extend the notion of the ring class field of an order in [C. Lv and Y. Deng, SciChina. Math., 2015] to that of an arbitrary number ring in . We gi…
Diophantine equations defined by binary quadratic forms over rational function fields
Chang Lv
We study the ``imaginary" binary quadratic form equations ax^2+bxy+cy^2+g=0 over k[t] in rational function fields, showing that a condition with respect to the Artin reciprocity ma…
On the Non-existence of certain classes of perfect p-ary sequences and perfect almost p-ary sequences
Chang Lv
We obtain new non-existence results of perfect p-ary sequences with period n (called type ). The first case is a class with type [p\equiv5\pmod 8,p^aqn']. The second case c…
On the Non-existence of certain classes of generalized bent functions
Chang Lv, Jianing Li
We obtain new non-existence results of generalized bent functions from \ZZ^n_q to \ZZ_q (called type [n,q]). The first case is a class of types where q=2p_1^{r_1}p_2^{r_2}. The sec…
On the Integral Representation of Binary Quadratic Forms and the Artin Condition
Chang Lv, Junchao Shentu, Yingpu Deng
For diophantine equations of the form ax^2+bxy+cy^2+g=0 over Z whose coefficients satisfy some assumptions, we show that a condition with respect to Artin reciprocity map, which we…
On the Integral Representation of and the Artin Condition
Chang Lv, Junchao Shentu
Given a number field with its ring of integers. For certain and in , we show that the Artin condition is the only obstruction to the local-global principle…
Representing Primes as the Form in Some Imaginary Quadratic Fields
Chang Lv, Yingpu Deng
We give criteria of the solvability of the diophantine equation over some imaginary quadratic fields where is a prime element. The criteria becomes quite simple in…
On Orders in Number Fields: Picard Groups, Ring Class Fields and Applications
Chang Lv, Yingpu Deng
In this article, we focus on orders in arbitrary number fields, consider their Picard groups and finally obtain ring class fields corresponding to them. The Galois group of the rin…
Primality Test for Numbers of the Form Ap^n+w
Yingpu Deng, Chang Lv
We propose an algorithm determining the primality of numbers where and and give example when . th reciprocity law is invo…