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http://dx.doi.org/10.7858/eamj.2018.003

DEFINING EQUATIONS OF RATIONAL CURVES IN SMOOTH QUADRIC SURFACE  

LEE, Wanseok (Pukyong National University, Department of applied Mathematics)
Yang, Shuailing (Pukyong National University, Department of applied Mathematics)
Publication Information
Abstract
For a nondegenerate irreducible projective variety, it is a classical problem to study the defining equations of a variety with respect to the given embedding. In this paper we precisely determine the defining equations of certain types of rational curves in ${\mathbb{P}}^3$.
Keywords
minimal generator; Castelnuovo-Mumford regularity; rational curve;
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