Homogeneous deformations of toric pairs

Homogeneous deformations of toric pairs

We extend the Altmann–Mavlyutov construction of homogeneous deformations of affine toric varieties to the case of toric pairs ( X , ∂ X ) , where X is an affine or projective toric variety and ∂ X is its toric boundary. As an application, we generalise a result due to Ilten to the case of Fano toric...

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Veröffentlicht in:Manuscripta mathematica 2021-09, Vol.166 (1-2), p.37-72
1. Verfasser: Petracci, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Deformation
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Beschreibung
Zusammenfassung:We extend the Altmann–Mavlyutov construction of homogeneous deformations of affine toric varieties to the case of toric pairs ( X , ∂ X ) , where X is an affine or projective toric variety and ∂ X is its toric boundary. As an application, we generalise a result due to Ilten to the case of Fano toric pairs.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-020-01219-w