Polarized interpolation and normal postulation for curves on Fano hypersurfaces
Year: 2025
Type: article
Abstract: 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 $H^0=0$ or $H^1=0$. This implies a polarized version of the interpolation property for $C$ on $X$.
Author: Ziv Ran
Institution: University of California, Riverside
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408123156