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Acta Mathematica Vietnamica

Q-FACTORIAL SUBALGEBRAS OF A POLYNOMIAL RING

icon-email MASAYOSHI MIYANISHI

Abstract

We give an algebraic characterization of a log affine pseudo-plane and the quotient surface A2/G of A2 with a small finite subgroup G of GL(2,C) in terms of Q-factorial normal subalgebras of a polynomial ring C[x,y]. Then we consider the cancellation problem for these surfaces.