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Arithmetic Macaulayfication of projective schemes

S. D. Cutkosky·Huy Tai Ha
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Abstract

In this paper, we study arithmetic Macaulayfication of projective schemes and Rees algebras of ideals. We give a necessary and sufficient condition for a nonsingular projective scheme to have an arithmetic Macaulayfication. If the scheme is not necessarily nonsingular, we show that our condition give a sufficient condition for the existence of an arithmetic Macaulayfication. We also study truncated Rees algebra of an ideal. We show that the truncated Rees algebra R_λ(I) of an ideal I is alway Cohen-Macaulay for λlarge enough in some important situations.

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BibTeXRIS

S. D. Cutkosky, Huy Tai Ha. 2002-09-13. Arithmetic Macaulayfication of projective schemes. https://arxiv.org/abs/math/0209156

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