Title: Induced Structure

 

Abstract: I care about integral domains with structure and how that structure should induce structure on their integral closures and resolutions of same. I'll use examples defined by $y^3+yx+x^5=0$ and $z^6+z^3x+y^3x^2=0$ to investigate how the computer algebra systems Macaulay2 and Singular view integral closures and resolutions while ignoring such induced structure.