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Castelnuovo-Mumford regularity and Gorensteinness of fiber cone

In this article, we study the Castelnuovo-Mumford regularity and Gorenstein properties of the fiber cone. We obtain upper bounds for the Castelnuovo-Mumford regularity of the fiber cone and obtain sufficient conditions for the regularity of the fiber cone to be equal to that of the Rees algebra. We obtain a formula for the canonical module of the fiber cone and use it to study the Gorenstein property of the fiber cone.

preprint2011arXivOpen access
A. V. JayanthanRamakrishna Nanduri
math.AC
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A. V. JayanthanRamakrishna Nanduri

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