P-Divisors of Cox Rings - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: The Cox ring of a so-called Mori Dream Space MDS is finitely generated andit is graded over the divisor class group. Hence the spectrum of the Cox ringcomes with an action of an algebraic torus whose GIT quotient is the variety inquestion. We present the associated description of this Cox ring as apolyhedral divisor. Via the shape of its polyhedral coefficients, it connectsthe equivariant structure of the Cox ring with the world of stable loci andstable multiplicities of linear systems.



Author: Klaus Altmann Berlin, Jarek Wisniewski Warszawa

Source: https://arxiv.org/







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