Junyeong Park

activity

20192025

collaborators

9 papers

math.NT2025

On properness of moduli stacks of $D^{\times}$ -shtukas over ramified legs

Yong-Gyu Choi, Wansu Kim, Junyeong Park

Given a maximal order $D$ of a central division algebra $D$ over a global function field $F$ , we prove an explicit necessary and sufficient condition for moduli stacks of…

math.AT2024

Cellular sheaf Laplacians on the set of simplices of symmetric simplicial set induced by hypergraph

Seongjin Choi, Junyeong Park

We generalize cellular sheaf Laplacians on an ordered finite abstract simplicial complex to the set of simplices of a symmetric simplicial set. We construct a functor from the cate…

math.AG2024

Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface

Jeehoon Park, Junyeong Park, Philsang Yoo

We describe complex conjugation on the primitive middle-dimensional algebraic de Rham cohomology of a smooth projective hypersurface defined over a number field that admits a real…

math.AG2023

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat $F$ -manifold structures

Jeehoon Park, Junyeong Park

We describe the primitive middle-dimensional cohomology $H$ of a compact simplicial toric complete intersection variety in terms of a twisted de Rham complex. Then this en…

math.NT2023

BF path integrals for elliptic curves and $p$ -adic $L$ -functions

Jeehoon Park, Junyeong Park

We prove an arithmetic path integral formula for the inverse $p$ -adic absolute values of the $p$ -adic $L$ -functions of elliptic curves over the rational numbers with good ordinary…

math.AG2021

A basis of algebraic de Rham cohomology of complete intersections over a characteristic zero field

Jeehoon Park, Junyeong Park

Let $k$ be a field of characteristic 0. Let $X$ be a smooth complete intersection over $k$ of dimension $n - k$ in the projective space $P_{k}^{n}$ , for given positive int…

math.AG2021

Polynomial realizations of period matrices of projective smooth complete intersections and their deformation

Yesule Kim, Jeehoon Park, Junyeong Park

Let $X$ be a smooth complete intersection over $C$ of dimension $n - k$ in the projective space $P_{C}^{n}$ , for given positive integers $n$ and $k$ . For a g…

math.AG2019

An algorithm for a Massey triple product of a smooth projective plane curve

Younggi Lee, Jeehoon Park, Junyeong Park +1

We provide an explicit algorithm to compute a Massey triple product relative to a defining system for a smooth projective plane curve $X$ defined by a homogeneous polynomial $G(\un…

math.NT2019

Batalin-Vilkovisky formalism in the $p$ -adic Dwork theory

Dohyeong Kim, Jeehoon Park, Junyeong Park

The goal of this article is to develop BV (Batalin-Vilkovisky) formalism in the $p$ -adic Dwork theory. Based on this formalism, we explicitly construct a $p$ -adic dGBV algebra (dif…

On properness of moduli stacks of D×-shtukas over ramified legs

Cellular sheaf Laplacians on the set of simplices of symmetric simplicial set induced by hypergraph

Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat F-manifold structures

BF path integrals for elliptic curves and p-adic L-functions

A basis of algebraic de Rham cohomology of complete intersections over a characteristic zero field

Polynomial realizations of period matrices of projective smooth complete intersections and their deformation

An algorithm for a Massey triple product of a smooth projective plane curve

Batalin-Vilkovisky formalism in the p-adic Dwork theory

On properness of moduli stacks of $D^{\times}$ -shtukas over ramified legs

Twisted de Rham complex for toric Calabi-Yau complete intersections and flat $F$ -manifold structures

BF path integrals for elliptic curves and $p$ -adic $L$ -functions

Batalin-Vilkovisky formalism in the $p$ -adic Dwork theory