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20192025
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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 -manifold structures

Jeehoon Park, Junyeong Park

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

math.AG2021

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

Jeehoon Park, Junyeong Park

Let be a field of characteristic 0. Let be a smooth complete intersection over of dimension in the projective space , 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 be a smooth complete intersection over of dimension in the projective space , for given positive integers and . 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 defined by a homogeneous polynomial $G(\un…