collaborators

4 papers

math.AG2025

The big de Rham-Witt forms over fields and motives of non-reduced schemes

Jinhyun Park

Using algebraic cycles as a medium, we prove that the groups of the big (Hesselholt-Madsen) de Rham-Witt forms over arbitrary fields are isomorphic to the relative improved (Gabber…

math.AG2025

Geometric presentations of Milnor -groups of certain Artin algebras and Bass-Tate-Kato norms

Jinhyun Park

For an arbitrary field , and an arbitrary regular henselian local -scheme of dimension with the residue field , we introduce two subcomplexes of the higher Chow co…

math.AG2025

Upper bounds for graded betti numbers of projective schemes in the first nontrivial strand

Doyoon Ha, Minjae Kwon, JeongDon Lee +1

Using Boij-Söderberg theory, we give a quick new approach to the results of Han-Kwak and Ahn-Han-Kwak on upper bounds for graded betti numbers of projective schemes in the first n…

math.AG2024

Syzygies of algebraic varieties through symmetric products of algebraic curves

Jinhyung Park

This is a survey paper on recent work on syzygies of algebraic varieties. We discuss the gonality conjecture on weight-one syzygies of algebraic curves, syzygies of secant varietie…