Maps of toric varieties in Cox coordinates

• Autorzy: Gavin Brown , Jarosław Buczyński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14E05: Rational and birational maps
• 14Q99: None of the above, but in this section
• 14M25: Toric varieties, Newton polyhedra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 222
• Numer: 3
• Strony: 213-267

Daty

wydano

2013

Twórcy

autor

Gavin Brown

• School of Mathematics, Loughborough University, LE11 3TU, United Kingdom

autor

Jarosław Buczyński

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm222-3-2