# Two points of the boundary of toric geometry

Abstract : This note presents two observations which have in common that they lie at the boundary of toric geometry. The first one because it concerns the deformation of affine toric varieties into non toric germs in order to understand how to avoid some ramification problems arising in the study of local uniformization in positive characteristic, and the second one because it uses limits of projective systems of equivariant birational maps of toric varieties to study the space of additive preorders on ${\mathbf Z}^r$ for $r\geq 2$.
Keywords :
Type de document :
Chapitre d'ouvrage
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, In press
Domaine :

Littérature citée [3 références]

https://hal.archives-ouvertes.fr/hal-01835867
Contributeur : Bernard Teissier <>
Soumis le : mercredi 11 juillet 2018 - 17:14:12
Dernière modification le : vendredi 13 juillet 2018 - 01:14:22

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• HAL Id : hal-01835867, version 1
• ARXIV : 1807.04187

### Citation

Bernard Teissier. Two points of the boundary of toric geometry. Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, In press. 〈hal-01835867〉

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