4 papers
math.AG2026
Secant variety and syzygies of Hilbert scheme of two points
Chiwon Yoon, Haesong Seo
In this paper, we prove that features the identifiability under the Grothendieck-Plücker embedding $X^{[2]} \hookrightarrow \PP^N$ when is embedded by…
math.AG2026
Algebraic hyperbolicity of adjoint linear systems on spherical varieties
Minseong Kwon, Haesong Seo
Moraga and Yeong conjectured that for a smooth complex projective variety of dimension , an ample line bundle on and an integer , very general element…
math.AG2025
Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one
Haesong Seo
In this paper, we study the algebraic hyperbolicity of very general surfaces in general Fano threefolds with Picard number one. We completely classify the algebraically hyperbolici…
math.AG2025
A non-vanishing conjecture for cotangent bundles on elliptic surfaces
Haesong Seo
In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves…