In arithmetic geometry, a Frobenioid is a category with some extra structure that generalizes the theory of line bundles on models of finite extensions of global fields. Frobenioids were introduced by Shinichi Mochizuki (2008). The word "Frobenioid" is a portmanteau of Frobenius and monoid, as certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism, and some of the simplest examples of Frobenioids are essentially monoids.
In arithmetic geometry, a Frobenioid is a category with some extra structure that generalizes the theory of line bundles on models of finite extensions...
Siegel modular variety Siegel's theorem on integral points Category theory Frobenioid Sutherland, Andrew V. (September 5, 2013). "Introduction to Arithmetic...
class field theory. Non-abelian class field theory Anabelian geometry Frobenioid Langlands correspondences Milne 2020, p. 1, Introduction. Cassels & Fröhlich...
programming) Semiring and Kleene algebra Star height problem Vedic square Frobenioid If both e1 and e2 satisfy the above equations, then e1 = e1 • e2 = e2...
2000–2008, he discovered several new theories including the theory of frobenioids, mono-anabelian geometry and the etale theta theory for line bundles...
gives a result equal mod p to the p-th power of the root β. Perfect field Frobenioid Finite field § Frobenius automorphism and Galois theory Universal homeomorphism...
Class field theory Fiber functor Neukirch–Uchida theorem Belyi's theorem Frobenioid Inter-universal Teichmüller theory p-adic Teichmüller theory Langlands...
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