Polarized interpolation and normal postulation for curves on Fano hypersurfaces
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...
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| Datum: | 2025 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7878 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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 $X$. |
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| DOI: | 10.3842/umzh.v77i1.7878 |