Hilbert curves of polarized varieties |
| |
Authors: | MC Beltrametti AJ Sommese |
| |
Institution: | a Dipartimento di Matematica, Via Dodecaneso 35, I-16146 Genova, Italy b Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via C. Saldini 50, I-20133 Milano, Italy c Department of Mathematics, Notre Dame, IN 46556, USA |
| |
Abstract: | Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX associated to the Hilbert polynomial χ(x1L1+?+xρLρ), where L1,…,Lρ is a basis of , ρ being the Picard number of X, and x1,…,xρ are complex variables. After studying general properties of VX we specialize to the Hilbert curve of a polarized variety (X,L), namely the plane curve of degree dim(X) associated to χ(xKX+yL). Special emphasis is given to the case of polarized threefolds. |
| |
Keywords: | Primary 14C20 14N30 secondary 14M99 14H50 |
本文献已被 ScienceDirect 等数据库收录! |
|