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Polyhedral divisors of affine trinomial hypersurfaces

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arxiv 1810.08784 v1 pith:XMUIWH2U submitted 2018-10-20 math.AG

classification math.AG
keywords hypersurfacestrinomialaffinedivisorspolyhedralactionclassescomplexity
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We find polyhedral divisors corresponding to the torus action of complexity one on affine trinomial hypersurfaces. Explicit computations for particular classes of such hypersurfaces including Pham-Brieskorn surfaces and rational trinomial hypersurfaces are given.

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