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http://dx.doi.org/10.7858/eamj.2019.007

ON THE EQUATIONS DEFINING SOME CURVES OF MAXIMAL REGULARITY IN ℙ4  

LEE, Wanseok (Pukyong National University, Department of applied Mathematics)
Jang, Wooyoung (Pukyong National University, Department of applied Mathematics)
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Abstract
For a nondegenerate irreducible projective variety, it is a classical problem to describe its defining equations. In this paper we precisely determine the defining equations of some rational curves of maximal regularity in ${\mathbb{P}}^4$ according to their rational parameterizations.
Keywords
Castelnuovo-Mumford Regularity; rational normal surface scroll; rational curve; minimal generator;
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