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- W2952351378 abstract "Let X be a nonsingular arithmetically Cohen-Macaulay projective scheme, Z a nonsingular subscheme of X. Let pi: Y --> X be the blowup of X along the ideal sheaf of Z, E_0 the pull-back of a general hyperplane in X and E the exceptional divisor. In this paper, we study projective embeddings of Y given by the divisor tE_0 - eE. We give explicit values of d and delta such that for all e > 0 and t > ed + delta, these embeddings is projectively normal and arithmetically Cohen-Macaulay. We also study the regularity of the ideal sheaf and syzygies of these embeddings. When X is a surface and Z is a 0-dimensional subscheme of X, we show that these embeddings possess N_p property for t >> e." @default.
- W2952351378 created "2019-06-27" @default.
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- W2952351378 date "2002-04-19" @default.
- W2952351378 modified "2023-09-27" @default.
- W2952351378 title "Projective embeddings of projective schemes blown up at subschemes" @default.
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