Yuxin Lin

activity

20192026

most citedDensity of Numerical sets associated to a Numerical semigroup

2 citations · 2 across the 11 of their papers we have counts for

collaborators

11 papers

math.AG2026

A $k$ -Dimensional Version of the Largest Intersection Problem

Yuxin Lin

Suppose we have $r$ linearly independent hypersurfaces of degree $d$ in $P^{m}$ (or $A^{m}$ ) defined over a finite field $F_{q}$ , whose intersection is at most…

math.AG2025

Largest zero-dimensional intersection of $r$ degree $d$ hypersurfaces

Yuxin Lin, Deepesh Singhal

Suppose we have $r$ hypersurfaces in $P^{m}$ of degree $d$ , whose defining polynomials are linearly independent, and their intersection has dimension $0$ . Then what is the l…

math.NT2025

The $p$ -rank stratification of the moduli space of double covers of a fixed elliptic curve

Kevin Chang, Dušan Dragutinović, Steven R. Groen +3

In this paper we investigate the $p$ -rank stratification of the moduli space of curves of genus $g$ that admit a double cover to a fixed elliptic curve $E$ in characteristic $p > 2$ .…

math.AG2024

Non- $p$ -ordinary smooth abelian covers of $P^{1}$

Yuxin Lin, Elena Mantovan, Deepesh Singhal

Given a family of odd abelian covers of $P^{1}$ and a prime $p$ of good reduction, in [1], under some assumptions, we computed the generic Newton polygon (resp. Ekedahl-Oort…

math.AG2023

On a conjecture of Beelen, Datta and Ghorpade for the number of points of varieties over finite fields

Deepesh Singhal, Yuxin Lin

Consider a finite field $F_{q}$ and positive integers $d, m, r$ with $1 \leq r \leq (d m + d)$ . Let $S_{d} (m)$ be the $F_{q}$ vector space of all homogeneous polynomia…

math.AG2023

Abelian covers of $P^{1}$ of $p$ -ordinary Ekedahl-Oort type

Yuxin Lin, Elena Mantovan, Deepesh Singhal

Given a family of abelian covers of $P^{1}$ and a prime $p$ of good reduction, by considering the associated Deligne--Mostow Shimura variety, we obtain lower bounds for the…

math.NT2023

Denisty questions in rings of the form $O_{K} [γ] \cap K$

Deepesh Singhal, Yuxin Lin

We fix a number field $K$ and study statistical properties of the ring $O_{K} [γ] \cap K$ as $γ$ varies over algebraic numbers of a fixed degree $n \geq 2$ . Given $k \geq 1$ , w…

math.NT2022

Primes in denominators of algebraic numbers

Deepesh Singhal, Yuxin Lin

Denote the set of algebraic numbers as $Q$ and the set of algebraic integers as $Z$ . For $γ \in Q$ , consider its irreducib…

math.CO2021

Frobenius allowable gaps of Generalized Numerical Semigroups

Deepesh Singhal, Yuxin Lin

A generalised numerical semigroup (GNS) is a submonoid $S$ of $N^{d}$ for which the complement $N^{d} ∖ S$ is finite. The points in the complement $\mathbb{N}^…

math.PR2020

The limiting spectral measure for an ensemble of generalized checkerboard matrices

Fangu Chen, Jiahui Yu, Steven J. Miller +1

Random matrix theory successfully models many systems, from the energy levels of heavy nuclei to zeros of $L$ -functions. While most ensembles studied have continuous spectral distr…

math.CO2019★ 2 cited

Density of Numerical sets associated to a Numerical semigroup

Deepesh Singhal, Yuxin Lin

A numerical set is a co-finite subset of the natural numbers that contains zero. Its Frobenius number is the largest number in its complement. Each numerical set has an associated…

A k-Dimensional Version of the Largest Intersection Problem

Largest zero-dimensional intersection of r degree d hypersurfaces

The p-rank stratification of the moduli space of double covers of a fixed elliptic curve

Non-p-ordinary smooth abelian covers of P1

On a conjecture of Beelen, Datta and Ghorpade for the number of points of varieties over finite fields

Abelian covers of P1 of p-ordinary Ekedahl-Oort type

Denisty questions in rings of the form OK​[γ]∩K

Primes in denominators of algebraic numbers

Frobenius allowable gaps of Generalized Numerical Semigroups

The limiting spectral measure for an ensemble of generalized checkerboard matrices

Density of Numerical sets associated to a Numerical semigroup

A $k$ -Dimensional Version of the Largest Intersection Problem

Largest zero-dimensional intersection of $r$ degree $d$ hypersurfaces

The $p$ -rank stratification of the moduli space of double covers of a fixed elliptic curve

Non- $p$ -ordinary smooth abelian covers of $P^{1}$

Abelian covers of $P^{1}$ of $p$ -ordinary Ekedahl-Oort type

Denisty questions in rings of the form $O_{K} [γ] \cap K$