Computing Seshadri constants on smooth toric surfaces

DOI10.1007/978-3-030-98327-7_7OpenAlexW4285174084MaRDI QIDQ2106289

Anders Lundman, Sandra Di Rocco

Publication date: 14 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-98327-7_7

zbMATH Keywords

polytopestoric geometrySeshadri constantssurface classification

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Cites Work

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• Seshadri constants via toric degenerations
• Algebro-geometric characterization of Cayley polytopes
• Local positivity of line bundles on smooth toric varieties and Cayley polytopes
• An effective and sharp lower bound on Seshadri constants on surfaces with Picard number 1
• The adjunction theory of complex projective varieties
• Gorenstein toric Fano varieties
• Polyhedral adjunction theory
• A primer on Seshadri constants
• Some intrinsic and extrinsic characterizations of the projective space
• Inflections of toric varieties.

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