Mathematics – Algebraic Geometry
Scientific paper
2010-04-27
Mathematics
Algebraic Geometry
72 pages
Scientific paper
The Cox ring provides a coordinate system on a toric variety analogous to the homogeneous coordinate ring of projective space. Rational maps between projective spaces are described using polynomials in the coordinate ring, and we generalise this to toric varieties, providing a unified description of arbitrary rational maps between toric varieties in terms of their Cox coordinates. Introducing formal roots of polynomials is necessary even in the simplest examples.
Brown Gavin
Buczyński Jarosław
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