Young-Jun Choi

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math.CV2024

Injectivity theorems for higher direct images under proper KÃ¤hler morphisms on snc spaces

Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura

Let $X$ be a complex manifold, and let $Y$ and $D$ be two reduced simple-normal-crossing (snc) divisors on $X$ with no common irreducible components. Given a proper locally KÃ¤hler…

math.CV2024

Curvature of higher direct images of sheaves of twisted holomorphic forms

Young-Jun Choi, Georg Schumacher

This paper investigates the curvature properties of higher direct images $R^{q} f_{*} I^c ◯_{X / S}^{p} (E)$ , where $f : X \to S$ is a family of compact KÃ¤hler manifolds equipped with a…