Yifeng Huang

activity

20192026

most citedUnit equations on quaternions

2 citations · 5 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.AG2023

Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity

Yifeng Huang, Ruofan Jiang

The Quot scheme of points $Quot_{d, n} (X)$ on a variety $X$ over a field $k$ parametrizes quotient sheaves of $O_{X}^{\oplus d}$ of zero-dimensional support and len…

math.AG2021

Counting on the variety of modules over the quantum plane

Yifeng Huang

Let $ζ$ be a fixed nonzero element in a finite field $F_{q}$ with $q$ elements. In this article, we count the number of pairs $(A, B)$ of $n \times n$ matrices over $\mathbb F_…

math.AG2021★ 1 cited

Mutually annihilating matrices, and a Cohen--Lenstra series for the nodal singularity

Yifeng Huang

We give a generating function for the number of pairs of $n \times n$ matrices $(A, B)$ over a finite field that are mutually annihilating, namely, $A B = B A = 0$ . This generating functi…

math.AG2020

Cohomology of configuration spaces on punctured varieties

Yifeng Huang

In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely relat…

math.AG2020

Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions

Gilyoung Cheong, Yifeng Huang

Given an elliptic curve $E$ defined over $C$ , let $E^{\times}$ be an open subset of $E$ obtained by removing a point. In this paper, we show that the $i$ -th Betti number o…