•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-1805-99

Abstract

In this paper we give necessary and sufficient conditions for the Cohen-Macaulayness of the tangent cone of a monomial curve in 4-dimensional affine space. We particularly study the case where $C$ is a Gorenstein noncomplete intersection monomial curve and we generalize some results in the literature. Moreover, by using these results, we construct families supporting Rossi's conjecture, which is still open for monomial curves in 4-dimensional affine space.

First Page

1425

Last Page

1446

Included in

Mathematics Commons

Share

COinS