Data di Pubblicazione:
2008
Citazione:
Special linear systems and syzygies / A. Alzati. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 59:3(2008), pp. 239-254. [10.1007/BF03191185]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Quadrics; linear syzygies; rational maps
Elenco autori:
A. Alzati
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