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http://dx.doi.org/10.7858/eamj.2020.023

REMARKS ON CURVES OF MAXIMAL REGULARITY IN ℙ3  

Lee, Wanseok (Pukyong National University, Department of applied Mathematics)
Publication Information
East Asian mathematical journal / v.36, no.3, 2020 , pp. 349-357 More about this Journal
Abstract
For a nondegenerate projective curve C ⊂ ℙr of degree d, it was shown that the Castelnuovo-Mumford regularity reg(C) of C is at most d - r + 2. And the curves of maximal regularity which attain the maximally possible value d - r + 2 are completely classified. In this short note, we first collect several known results about curves of maximal regularity. We provide a new proof and some partial results. Finally we suggest some interesting questions.
Keywords
Castelnuovo-Mumford regularity; secant line; rational normal surface scroll; graded Betti number;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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