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Cox rings, semigroups and automorphisms of affine algebraic varieties

Cox rings, semigroups and automorphisms of affine algebraic varieties

We study the Cox realization of an affine variety, that is, a canonical representation of a normal affine variety with finitely generated divisor class group as a quotient of a factorially graded affine variety by an action of the Neron-Severi quasitorus. The realization is described explicitly for the quotient space …