Xinyu Fang

collaborators

4 papers

math.AG2026

Galois group of exceptional curves on the generic del Pezzo surface

Xinyu Fang

We prove that the Galois action on the exceptional curves on the generic del Pezzo surface of degree $d$ is maximal for all degrees $d$ and over any field $k$ . As a consequence of…

math.PR2023

Generalized Continuous and Discrete Stick Fragmentation and Benford's Law

Xinyu Fang, Steven J. Miller, Maxwell Sun +1

Inspired by the basic stick fragmentation model proposed by Becker et al. in arXiv:1309.5603v4, we consider three new versions of such fragmentation models, namely, continuous with…

math.CO2023

Generalized point configurations in $F_{q}^{d}$

Paige Bright, Xinyu Fang, Barrett Heritage +4

In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be def…

math.CO2023

Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

Paige Bright, Xinyu Fang, Barrett Heritage +2

The fourth listed author and Hans Parshall (\cite{IosevichParshall}) proved that if $E \subset F_{q}^{d}$ , $d \geq 2$ , and $G$ is a connected graph on $k + 1$ vertices such that…

Galois group of exceptional curves on the generic del Pezzo surface

Generalized Continuous and Discrete Stick Fragmentation and Benford's Law

Generalized point configurations in Fqd​

Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

Generalized point configurations in $F_{q}^{d}$