Let X be the base locus of a linear system L of hypersurfaces in PT (C). In this paper it is showed that the existence of linear syzygies for the ideal of X has strong consequences on the fibres of the rational map associated to L. The case of hyperquadrics is particularly addressed. The results are applied to the study of rational maps and to the Perazzo's map for cubic hypersurfaces.

Special linear systems and syzygies / A. Alzati. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 59:3(2008), pp. 239-254. [10.1007/BF03191185]

Special linear systems and syzygies

A. Alzati
Primo
2008

Abstract

Let X be the base locus of a linear system L of hypersurfaces in PT (C). In this paper it is showed that the existence of linear syzygies for the ideal of X has strong consequences on the fibres of the rational map associated to L. The case of hyperquadrics is particularly addressed. The results are applied to the study of rational maps and to the Perazzo's map for cubic hypersurfaces.
Quadrics; linear syzygies; rational maps
Settore MAT/03 - Geometria
2008
Article (author)
File in questo prodotto:
File Dimensione Formato  
quadriche12.pdf

accesso riservato

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 237.42 kB
Formato Adobe PDF
237.42 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
119036-Text de l'article-154799-1-10-20081009.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 244.05 kB
Formato Adobe PDF
244.05 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

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/2434/39742
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact