Cartier isomorphism for toric varieties

DOI10.1006/jabr.2000.8569zbMath1028.14001arXivmath/0210355OpenAlexW2091067280MaRDI QIDQ5936954

Manuel Blickle

Publication date: 26 January 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210355

zbMATH Keywords

toric varietiespositive characteristicCartier operatorFrobenius morphismde Rham complexZariski differentialsZariski-de Rham complex

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) de Rham cohomology and algebraic geometry (14F40) Divisors, linear systems, invertible sheaves (14C20)

Related Items (3)

Multiplication maps and vanishing theorems for toric varieties ⋮ A new approach to de Rham-Witt complexes, after Bhatt, Lurie, and Mathew ⋮ Smoothing toroidal crossing spaces

Cites Work

• Toroidal embeddings. I
• Logarithmic de Rham complexes and vanishing theorems
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• The Frobenius morphism on a toric variety
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Introduction to Toric Varieties. (AM-131)
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• THE GEOMETRY OF TORIC VARIETIES
• A characterization of rational singularities
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