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On the regularity index of s fat points not on a linear (r−1)-space, s≤r+3

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ABSTRACT We will give formulas to compute the regularity index of s fat points in general position on a linear r-space, s≤r+3 (Theorem 3.1). Then we will show formulas to… Click to show full abstract

ABSTRACT We will give formulas to compute the regularity index of s fat points in general position on a linear r-space, s≤r+3 (Theorem 3.1). Then we will show formulas to compute the regularity index of s equimultiple fat points not on a linear (r−1)-space, s≤r+3 (Theorem 4.6). Our results show that the Segre’s bound is attained in these cases.

Keywords: regularity index; fat points; linear space

Journal Title: Communications in Algebra
Year Published: 2017

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