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Algebraic Barth-Lefschetz theorems

Published online by Cambridge University Press:  22 January 2016

Lucian Bădescu
Lucian Bădescu*
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Ro- 70700, Bucharest, Romania and University of Bucharest, Department of Mathematics, E-mail address: lbadescu@stoilow.imar.ro
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We shall work over a fixed algebraically closed field k of arbitrary characteristic. By an algebraic variety over k we shall mean a reduced algebraic scheme over k. Fix a positive integer n and e = (e0, el,…, en) a system of n + 1 weights (i.e. n + 1 positive integers e0, el,…, en). If k[T0, Tl,…, Tn] is the polynomial k-algebra in n + 1 variables, graded by the conditions deg(Ti) = ei i = 0, 1,…, n, denote by Pn(e) = Proj(k[T0, T1,…, Tn]) the n-dimensional weighted projective space over k of weights e. We refer the reader to [3] for the basic properties of weighted projective spaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 142 , June 1996 , pp. 17 - 38
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

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