We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with g⩽Kd3/2 there exists an irreducible component of the Hilbert scheme of P3 whose general element is a smooth, connected curve of degree d and genus g of maximal rank.

Maximal rank of space curves in the range A / Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio. - In: EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 2199-675X. - 2018, 4:3(2018), pp. 778-801. [10.1007/s40879-018-0235-z]

Maximal rank of space curves in the range A

Edoardo Ballico;Claudio Fontanari
2018-01-01

Abstract

We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with g⩽Kd3/2 there exists an irreducible component of the Hilbert scheme of P3 whose general element is a smooth, connected curve of degree d and genus g of maximal rank.
2018
3
Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio
Maximal rank of space curves in the range A / Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio. - In: EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 2199-675X. - 2018, 4:3(2018), pp. 778-801. [10.1007/s40879-018-0235-z]
File in questo prodotto:
File Dimensione Formato  
edge_copy_final.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 902.19 kB
Formato Adobe PDF
902.19 kB Adobe PDF   Visualizza/Apri
1705.10113.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 322.11 kB
Formato Adobe PDF
322.11 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/206922
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 2
social impact