The maximum genus problem for locally Cohen-Macaulay space curves

2018/06/22 by Beorchia, Valentina, Lella, Paolo, Schlesinger, Enrico
#13P10 #14C05 #14H50 #14Q05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.08731

Abstract

Let P_MAX(d,s) denote the maximum arithmetic genus of a locally Cohen-Macaulay curve of degree d in ℙ³ that is not contained in a surface of degree

Related

• Initial ideals of weighted forms and the genus of locally Cohen-Macaulay curves
• The maximal genus of space curves in the range A
• On the genus of projective curves not contained in hypersurfaces of given degree, II
• Smooth curves specialize to extremal curves
• Curves of maximal genus in P⁵