For d greater or equal to 3g and s between 1 and hg , we study the strata N(d,g,s) of degree d genus g spaces curves C whose normal bundle is stable with stability degree (integer of Lange-Narasimhan) equal to 2s . We prove that N(d,g,s) has an irreducible component of the right dimension whose general curve has a normal bundle with the right number of maximal subbundles. We consider also the semi-stable case (s=0), obtaining similar results. We prove our results by studying the normal bundles of reducible curves and their deformations.

Stratification of the Hilbert scheme of space curves with a stable normal bundle

RAMELLA, LUCIANA
2004-01-01

Abstract

For d greater or equal to 3g and s between 1 and hg , we study the strata N(d,g,s) of degree d genus g spaces curves C whose normal bundle is stable with stability degree (integer of Lange-Narasimhan) equal to 2s . We prove that N(d,g,s) has an irreducible component of the right dimension whose general curve has a normal bundle with the right number of maximal subbundles. We consider also the semi-stable case (s=0), obtaining similar results. We prove our results by studying the normal bundles of reducible curves and their deformations.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11567/303271
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact