Symbolic Blowup algebras of monomial curves in \mathbb A³ defined by arithmetic sequence

2017/08/04 by D'Cruz, Clare
#1305 #13A30 #13H15 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.01374

Abstract

In this paper, we consider monomial curves in \mathbb A_k³ parameterized by t → (t^{2q +1}, t^{2q +1 + m}, t^{2q +1 +2 m}) where gcd( 2q+1,m)=1. The symbolic blowup algebras of these monomial curves is Gorenstein (\citegoto-nis-shim, \citegoto-nis-shim-2). We give a simple proof for the the Gorenstein property for the symbolic blowup algebras of these curves.

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