Projective embeddings of projective schemes blown up at subschemes

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Embeddings of Projective Schemes Blown up at Subschemes

Suppose X is a nonsingular projective scheme, Z a nonsingular closed sub-scheme of X. Let˜X be the blowup of X centered at Z, E0 the pull-back of a general hyperplane in X, and E the exceptional divisor. In this paper, we study projective em-beddings of˜X given by divisors De,t = tE0 − eE. When X satisfies a necessary condition, we give explicit values of d and δ such that for all e > 0 and t >...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2004

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-003-0586-z