Maps of toric varieties in Cox coordinates

Gavin Brown, and Jarosław Buczyński. "Maps of toric varieties in Cox coordinates." Fundamenta Mathematicae 222.3 (2013): 213-267. <http://eudml.org/doc/283089>.

@article{GavinBrown2013,
abstract = {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.},
author = {Gavin Brown, Jarosław Buczyński},
journal = {Fundamenta Mathematicae},
keywords = {Cox ring; toric variety; rational map},
language = {eng},
number = {3},
pages = {213-267},
title = {Maps of toric varieties in Cox coordinates},
url = {http://eudml.org/doc/283089},
volume = {222},
year = {2013},
}

TY - JOUR
AU - Gavin Brown
AU - Jarosław Buczyński
TI - Maps of toric varieties in Cox coordinates
JO - Fundamenta Mathematicae
PY - 2013
VL - 222
IS - 3
SP - 213
EP - 267
AB - 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.
LA - eng
KW - Cox ring; toric variety; rational map
UR - http://eudml.org/doc/283089
ER -