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Two Points of the Boundary of Toric Geometry

In: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Author

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  • Bernard Teissier

    (CNRS, Institut Mathématique de Jussieu-Paris Rive Gauche)

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 Z r for r ≥ 2.

Suggested Citation

  • Bernard Teissier, 2018. "Two Points of the Boundary of Toric Geometry," Springer Books, in: Gert-Martin Greuel & Luis Narváez Macarro & Sebastià Xambó-Descamps (ed.), Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, pages 107-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-96827-8_4
    DOI: 10.1007/978-3-319-96827-8_4
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