Ruixiang Zhang

activity

20222024

most citedThe reciprocal complement of a polynomial ring in several variables over a field

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2024★ 2 cited

The reciprocal complement of a polynomial ring in several variables over a field

Neil Epstein, Lorenzo Guerrieri, K. Alan Loper

The *reciprocal complement* $R (D)$ of an integral domain $D$ is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of $R (D)$ ar…

math.GT2023

Spin Lefschetz fibrations are abundant

Mihail Arabadji, R. Inanc Baykur

We prove that any finitely presented group can be realized as the fundamental group of a spin Lefschetz fibration over the 2-sphere. We moreover show that any admissible lattice po…

math.NT2022★ 1 cited

Rank growth of elliptic curves in $S_{4}$ and $A_{4}$ quartic extensions of the rationals

Daniel Keliher

We investigate the rank growth of elliptic curves from $Q$ to $S_{4}$ and $A_{4}$ quartic extensions $K / Q$ . In particular, we are interested in the quantity $\mathrm{…

The reciprocal complement of a polynomial ring in several variables over a field

Spin Lefschetz fibrations are abundant

Rank growth of elliptic curves in S4​ and A4​ quartic extensions of the rationals

Rank growth of elliptic curves in $S_{4}$ and $A_{4}$ quartic extensions of the rationals