Polarized interpolation and normal postulation for curves on Fano hypersurfaces

• Date: 2025
• Main Author: Ran, Ziv
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7878
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 514 A general hypersurface $X$ of degree at most $n$ in projective $(n+1)$-space contains curves $C$ of any genus $g\geq 0$ and sufficiently large degree depending on $g$ whose normal and conormal bundles in $X$ have good postulation or natural cohomology in a sense that each twist has either $H...