CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of projective space, and the minimal gonality of a covering family of curves. The theme is that positivity properties of canonical bundles lead to lower bounds on these invariants. In particular, we prove that if X is a very general smooth hypersurface of degree d in the (n+1)-dimensional projective space, then any dominant rational mapping from X to P^n must have degree at least d-1. We also propose a number of open problems, and we show how our methods lead to simple new proofs of results of Ran and Beheshti–Eisenbud concerning varieties of multi-secant lines.
| Titolo: | Measures of irrationality for hypersurfaces of large degree | |
| Autori: | ||
| Data di pubblicazione: | 2017 | |
| Rivista: | ||
| Handle: | http://hdl.handle.net/11586/206884 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Bastianelli DePoi Ein Lazarsfeld Ullery - Measures of irrationality for hypersurfaces of large degree.pdf | Articolo principale | Documento in Versione Editoriale | NON PUBBLICO - Accesso privato/ristretto | Administrator Richiedi una copia |
http://hdl.handle.net/11586/206884
Copyright © 2021