Data di Pubblicazione:
2010
Citazione:
Hilbert curves of polarized varieties / M. C. Beltrametti, A. Lanteri, A. J. Sommese. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 214:4(2010 Apr), pp. 461-479. [10.1016/j.jpaa.2009.06.009]
Abstract:
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety V_X associated to the Hilbert polynomial \chi(x_1 L_1+ ... +x_r L_r), where L_1, ... , L_r is a basis of Pic X, r
being the Picard number of X, and x_1, ... ,x_r are complex variables. After studying general properties of V_X we specialize to the Hilbert curve of a polarized variety (X,L), namely the
plane curve of degree dim(X) associated to \chi(xK_X+yL). Special emphasis is given to the case of polarized 3-folds.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Polarized variety ; fibration ; Hilbert polynomial ; plane curve
Elenco autori:
M.C. Beltrametti, A. Lanteri, A.J. Sommese
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