Surface cyclic quotient singularities and HirzebruchJung resolutions Miles Reid Abstract If is an ane algebraic variety and Aut a nite group of automorphism of the quotient variety is an ane algebra

A point of is an orbit of on and the coordinate ring is the ring of invariants of the induced action of on This chapter studies the simplest case of this construction when and r is the cyclic group of order acting on by diagonal matrixes by a sli

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