44 citations · 118 across the 9 of their papers we have counts for
4 papers · 1 filter
Arithmetic invariant theory II
Manjul Bhargava, Benedict H. Gross, Xiaoheng Wang
Let be a field, let be a reductive group, and let be a linear representation of . Let denote the geometric quotient and let …
A positive proportion of locally soluble hyperelliptic curves over have no point over any odd degree extension
Manjul Bhargava, Benedict H. Gross, Xiaoheng Wang
A hyperelliptic curve over is called "locally soluble" if it has a point over every completion of . In this paper, we prove that a positive proportion of hyp…
Average size of the 2-Selmer group of Jacobians of monic even hyperelliptic curves
Arul Shankar, Xiaoheng Wang
In [5], Manjul Bhargava and Benedict Gross considered the family of hyperelliptic curves over $\Q$ having a fixed genus and a marked rational Weierstrass point. They showed that th…
Maximal linear spaces contained in the base loci of pencils of quadrics
Xiaoheng Wang
The geometry of the Fano scheme of maximal linear spaces contained in the base locus of a pencil of quadrics has been studied by algebraic geometers when the base field is algebrai…