3 papers
math.AG2025
Determinantal ideals of secant varieties
Daniele Agostini, Jinhyung Park
Using Hilbert schemes of points, we establish a number of results for a smooth projective variety in a sufficiently ample embedding. If is a curve or a surface, we show tha…
math.AG2025
Singularities and syzygies of secant varieties of smooth projective varieties
Doyoung Choi, Justin Lacini, Jinhyung Park +1
We study the higher secant varieties of a smooth projective variety embedded in projective space. We prove that when the variety is a surface and the embedding line bundle is suffi…
math.AG2024
Positivity of double point divisors
Yonghwa Cho, Jinhyung Park
The non-isomorphic locus of a general projection from an embedded smooth projective variety to a hypersurface moves in a linear system of an effective divisor which we call the dou…