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On the regularity index of $s$ equimultiple fat points not on a linear $(r-1)$-space, $s \le r+3$

Published 21 Apr 2016 in math.AC | (1604.06347v1)

Abstract: We prove the Trung's conjecture about Segre's upper bound for s equimultiple fat points not on a linear (r-1)-space, s\le r+3, by algebraic method used in [3]. This method also may used to research other cases of fat points.

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