Frobenioid
Web228 Shinichi Mochizuki Introduction The fundamental goal of the present paper is to study the tempered an- abelian [cf. [Andr´e], [Mzk14]] and Frobenioid-theoretic [cf. [Mzk17], [Mzk18]] aspects of the theta function of a Tate curve over a nonarchimedean mixed- characteristiclocalfield. Themotivationfor thisapproach tothethetafunction arises from the … WebFibrinoid definition, having the characteristics of fibrin. See more.
Frobenioid
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Web(algebra, commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → x p for all x ∈ R. 2003, Claudia Miller, The Frobenius endomorphism and homological dimensions, Luchezar L. Avramov, Marc Chardin, Marcel Morales, Claudia Polini (editors), Commutative Algebra: Interactions with ... WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We develop the theory of the tempered anabelian and Frobenioid-theoretic aspects of the “étale theta function”, i.e., the Kummer class of the classical formal algebraic theta function associated to a Tate curve over a nonarchimedean mixedcharacteristic local field.
WebMar 1, 2024 · Frobenioid. Arakelov geometry. arithmetic Riemann-Roch theorem. differential algebraic K-theory. Contents. Idea; Definition; For fields; Of schemes; For … WebThe Frobenioid of a monoid. If M is a commutative monoid, it is acted on naturally by the monoid N of positive integers under multiplication, with an element n of N multiplying an …
WebSep 6, 2024 · The word Frobenioid is a portmanteau of Frobenius and monoid, as certa. 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 ... WebNotations and Conventions §1. Definitions and First Properties §2. Frobenius Functors §3. Category-theoreticity of the Base and Frobenius Degree §4. Category-theoreticity of the Divisor Monoid §5. Model Frobenioids §6. Some Motivating Examples Appendix: Slim Exponentiation Index Chart of Types of Morphisms in a Frobenioid Bibliography
WebThe present paper is the first in a series of four papers, the goal of which is to establish an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve – which we refer to as "inter-universal Teichmüller theory" – by applying the theory of semi-graphs of anabelioids, Frobenioids, the étale theta function, and log-shells developed in …
Web“Frobenioid-theoreticversion”ofcondition(a): (d) For every N ∈ N ≥ 1 , there exists a linear morphism A in →A C such thatthepull-backof f to A admitsan N -throot. small scale industries in andhra pradeshWebAug 7, 2024 · osu! » beatmaps » Camellia - Abyss of Frobenioid. Download osu! to create your own account! highpointe properties pelham alIn 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 … See more If M is a commutative monoid, it is acted on naturally by the monoid N of positive integers under multiplication, with an element n of N multiplying an element of M by n. The Frobenioid of M is the semidirect product of M and N. … See more • Category theory • Anabelian geometry • Inter-universal Teichmüller theory See more An elementary Frobenioid is a generalization of the Frobenioid of a commutative monoid, given by a sort of semidirect product … See more A Frobenioid consists of a category C together with a functor to an elementary Frobenioid, satisfying some complicated conditions related to the behavior of line bundles and … See more • What is an étale theta function? See more small scale industries images for projectWebfibrinoid: [ fi´brĭ-noid ] 1. resembling fibrin. 2. a homogeneous, eosinophilic, relatively acellular refractile substance with some of the staining properties of fibrin. highpointe ranch rapid cityWebSep 1, 2008 · Moreover, we show that the reciprocity map in the non-archim edean case, as well as a certain archimedean analogue of this reciprocity map, admit natural Frobenioid-theoretic translations, which ... highpointe senior living ballston spa nyWebFrobenioid, may only be understood in the context of the theory of Frobenioids [cf. Corollary 5.12 and the discussion of the following remarks]. Indeed, one important theme of the theory of the present paper — which may, roughly, be summarized as the idea that sometimes “less(respectively, more)datayieldsmore(respectively, less)information” highpointe park dental clinicWebFeb 1, 2015 · a Frobenioid may be thought of as a sort of a category-theoretic abstraction of the theory of divisors and line bundles on models of finite separable extensions of a … highpointe stuart florida