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Foundations of logarithmic adic spaces

WebarXiv:1709.05781v4 [math.NT] 3 Sep 2024 FOUNDATIONS OF LOGARITHMIC ADIC SPACES HANSHENG DIAO Abstract. The main objects of study are adic spaces with … WebFeb 22, 2016 · In a previous paper, we constructed a category of (phi, Gamma)-modules associated to any adic space over Q_p with the property that the etale (phi, Gamma)-modules correspond to etale Q_p-local...

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WebNov 1, 2001 · We give an explicit description in terms of logarithmic differential forms of the isomorphism of P. Schneider and U. Stuhler relating de Rham cohomology of p -adic … WebThe history of adic spaces goes back to the basic question ... (for example p-adic exponen-tial and logarithm functions shared many properties with their classical counterparts), the foundations of the subject remained elusive for the simple reason that Q p is totally dis-connected, and there are plenty of examples of differentiable ... food security indigenous canada https://studiolegaletartini.com

Foundations of Logarithmic Adic Spaces - arxiv-vanity.com

WebOrganized by Bhargav Bhatt (University of Michigan) and Martin Olsson (UC Berkeley), the symposium will bring together experts to explore recent developments in 𝑝-adic Hodge theory and understand the emerging relationship of 𝑝-adic Hodge theory with other subjects in mathematics. The topics to be discussed include: The relationship ... WebIn this paper, we define the crystalline fundamental groups for fine log schemes (satisfying certain condition) over a perfect field of positive characteristic by using the category of isocrystals on log crystalline site and prove their fundamental properties, such as Hurewicz isomorphism, the bijectivity of crystalline Frobenius and the … Web.log D/is the sheaf of j-forms with logarithmic singularities along D on X. The p-adic Hodge theory properly began around 1966 when Tate [Tat67, page 180 Remark] proved a p-adic version of the comparison theorem for an abelian variety of good reduction over a p-adic field. After the works of Fontaine, food security in india class 9 chapter pdf

Hansheng Diao

Category:Foundations of Logarithmic Adic Spaces - CORE Reader

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Foundations of logarithmic adic spaces

Logarithmic Properties - Andrews University

WebJan 21, 2024 · p-adic Hodge theory is the study of properties of p-adic (étale, de Rham, logarithmic cristalline) cohomology (and motives) of non-archimedean analytic spaces. The p p-adic Hodge structure of a (proper or semi-stably compactified) p-adic analytic variety is essentially given by a relation between three important invariants of the given variety: WebLogarithmic adic spaces Twisted differential operators q-crystals Level structures on elliptic curves de Rham-Witt complex Prismatic cohomology Back to top Editors and Affiliations School of Mathematics, Institute for Advanced Study, Princeton, USA Bhargav Bhatt Department of Mathematics, University of California, Berkeley, Berkeley, USA

Foundations of logarithmic adic spaces

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WebSep 18, 2024 · Foundations of Logarithmic Adic Spaces Authors: Hansheng Diao Abstract The main objects of study are adic spaces equipped with logarithmic … WebFoundations of Logarithmic Adic Spaces - CORE Reader

WebDec 18, 2024 · Logarithmic adic spaces: some foundational results Authors: Hansheng Diao Kai-Wen Lan Ruochuan Liu Peking University Xinwen Zhu Abstract We develop a … WebLogarithmic adic spaces: some foundational results Hansheng Diao, Kai-Wen Lan, Ruochuan Liu, and Xinwen Zhu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, USA

WebWe choose to work with Huber’s language of adic spaces, which reinterprets rigid-analytic varieties as certain locally ringed topological spaces. In particular, any variety Xover Khas an associated adic space Xad over K, which in turn has an underlying topological space jXadj. Theorem 1.5. There is a homeomorphism of topological spaces j(A1 K ... Webp-adic theta functions in order to uniformize certain p-adic elliptic curves by a multiplicative group, similarly to the complex-analytic case. Tate wondered if his computations could have deeper meaning within a theory of global p-adic analytic spaces, but Grothendieck was doubtful. In fact, in an August 18, 1959 letter to

WebWe develop a theory of log adic spaces by combining the theories of adic spaces and log schemes, and study the Kummer étale and pro-Kummer étale topology for such spaces. …

Comments: 20 pages, 11 figures. Notes of a mini-course given at the CIRM in April … electrical giftsWebspaces) are studied culminating with the p-adic Hahn{Banach theorem. Finally a generalization of the Mahler theorem due to L. van Hamme is proved. The proof makes use of umbral calculus, and a brief review of this topic is presented. In Chapter V, calculus in the p-adic domain is the main topic of discussion. The food security in gilgit baltistanWebHowever, his global spaces are not full subcategories of the category of locally ringed spaces. Huber’s solution involves an enhanced space Spa(A) that (roughly speaking) … electrical gifts for herWebLogarithmic di erentials on discretely ringed adic spaces Katharina Hübner Einstein Institute of Mathematics Hebrew University Jerusalem Contents 1. Introduction1 2. The … electrical glove classesWeb[1709.05781] Foundations of Logarithmic Adic Spaces \begin{abstract} The main objects of study are adic spaces with logarithmic structures. After establishing the basic definitions, we analyze the Kummer \'etale and pro-Kummer \'etale topologies on log adic spaces. In particular, we show that log adic spaces are locally ``log affinoid ... electrical goods harworthhttp://personal.colby.edu/~fqgouvea/padic.html electrical generator systems technicianWebLogarithmic adic spaces: some foundational results Preprint Dec 2024 Hansheng Diao Kai-Wen Lan Ruochuan Liu Xinwen Zhu We develop a theory of log adic spaces by combining the theories of... electrical generating stations in ontario