scholarly journals A stable version of Harbourne's Conjecture and the containment problem for space monomial curves

2020 ◽  
Vol 224 (12) ◽  
pp. 106435
Author(s):  
Eloísa Grifo
Keyword(s):  
Containment Problem ◽  
Monomial Curves

On the equations defining projective monomial curves

1998 ◽  
Vol 26 (6) ◽  
pp. 1907-1912 ◽  
Author(s):  
Margherita Barlie ◽  
Marcel Morales
Keyword(s):  
Monomial Curves

Bases and Ideal Generators for Projective Monomial Curves

2012 ◽  
Vol 40 (1) ◽  
pp. 173-191 ◽  
Author(s):  
Ping Li ◽  
D. P. Patil ◽  
Leslie G. Roberts
Keyword(s):  
Monomial Curves

Non-Cohen–Macaulay Projective Monomial Curves with Positive h-Vector

2005 ◽  
Vol 48 (2) ◽  
pp. 203-210 ◽  
Author(s):  
Victoria E. de Quehen ◽  
Leslie G. Roberts
Keyword(s):  
Infinite Family ◽  
Monomial Curves

AbstractWe find an infinite family of projective monomial curves all of which have h-vector with no negative values and are not Cohen–Macaulay.

The Containment Problem

2020 ◽  
pp. 77-80
Author(s):  
Enrico Carlini ◽  
Huy Tài Hà ◽  
Brian Harbourne ◽  
Adam Van Tuyl
Keyword(s):  
Containment Problem

The Containment Problem: Background

2020 ◽  
pp. 71-75
Author(s):  
Enrico Carlini ◽  
Huy Tài Hà ◽  
Brian Harbourne ◽  
Adam Van Tuyl
Keyword(s):  
Containment Problem

scholarly journals Complete Intersection Monomial Curves and the Cohen—Macaulayness of Their Tangent Cones

2019 ◽  
Vol 26 (04) ◽  
pp. 629-642
Author(s):  
Anargyros Katsabekis
Keyword(s):  
Complete Intersection ◽  
Tangent Cone ◽  
Affine Space ◽  
Intersection Property ◽  
Tangent Cones ◽  
Monomial Curves ◽  
Monomial Curve

Let C(n) be a complete intersection monomial curve in the 4-dimensional affine space. In this paper we study the complete intersection property of the monomial curve C(n + wv), where w > 0 is an integer and v ∈ ℕ4. In addition, we investigate the Cohen–Macaulayness of the tangent cone of C(n + wv).

On the equations defining monomial curves

1994 ◽  
Vol 22 (7) ◽  
pp. 2639-2649 ◽  
Author(s):  
Apostolos Thoma
Keyword(s):  
Monomial Curves
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