The reciprocal complement R(D) of a 2D finitely generated algebra D has dimension 2 under several sufficient criteria, including when D is a quotient by an irreducible quadratic polynomial, and the integral closure of its localizations for K[X,Y] is studied.
Loper, and Greg Oman
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The reciprocal complement of a surface
The reciprocal complement R(D) of a 2D finitely generated algebra D has dimension 2 under several sufficient criteria, including when D is a quotient by an irreducible quadratic polynomial, and the integral closure of its localizations for K[X,Y] is studied.