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Untilting line bundles on perfectoid spaces

WebFeb 8, 2024 · Donate to arXiv. Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% of … WebMay 11, 2024 · Line bundles on perfectoid covers: case of good reduction. Ben Heuer. We study Picard groups in profinite perfectoid limits of rigid spaces in the case of good …

W H A T I S . . . a Perfectoid Space? - American Mathematical Society

WebDec 14, 2024 · Ben Heuer. For a smooth rigid space over a perfectoid field extension of , we investigate how the -Picard group of the associated diamond differs from the analytic … Web3. Untilting Line Bundles on Perfectoid Spaces Gabriel Dorfsman-Hopkins (University of California, Berkeley) Let be a perfectoid space with tilt . IT was build a natural map where the (inverse) limit is taken over the -power map, and show that is an isomorphism if is a perfectoid ring. As a consequence we obtain commercial roof contractors minnesota https://pdafmv.com

[1111.4914] Perfectoid spaces - arXiv.org

WebMay 11, 2024 · Untilting Line Bundles on Perfectoid Spaces. Article. Nov 2024; ... S. Das. Vector Bundles on Perfectoid Spaces. PhD thesis, UC San Diego, 2016. Projective … WebA perfectoid field is a complete topological field K whose topology is induced by a nondiscrete valuation of rank 1, such that the Frobenius endomorphism Φ is surjective on … WebThe Hurwitz space is a compactification of the space of rational functions of a given degree. The Lyashko-Looijenga map assigns to a rational function the set of its critical values. It is known that the number of ramified coverings of CP^1 by CP^1 with prescribed ramification points and ramification types is related to the degree of the Lyashko--Looijenga map on … commercial roof contractor birmingham al

[2102.04354] Untilting Line Bundles on Perfectoid Spaces - arXiv.org

Category:(PDF) Projective Geometry for Perfectoid Spaces - ResearchGate

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Untilting line bundles on perfectoid spaces

W H A T I S . . . a Perfectoid Space? - American Mathematical Society

http://math.stanford.edu/~conrad/Perfseminar/refs/perfectoid.pdf WebNov 20, 2024 · In the final section, we apply these results to describe an example of a perfectoid cover of an abelian variety over $\bC _p$ with good reduction, …

Untilting line bundles on perfectoid spaces

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WebOct 12, 2024 · Along the way we give a complete classification of vector bundles on the perfectoid unit disk, and compute the Picard group of the perfectoid analog of projective space. Discover the world's ... http://www.gabrieldorfsmanhopkins.com/files/projectivoidgeometry.pdf

WebFeb 8, 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on … WebTo understand the structure of an algebraic variety we often embed it in various projective spaces. This develops the notion of projective geometry which has been an invaluable tool in algebraic geometry. We develop a perfectoid analog of projective geometry, and explore how equipping a perfectoid space with a map to a certain analog of projective space can be a …

WebNov 21, 2011 · Abstract. We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings' almost purity theorem, and for which there is a natural tilting ... Webthe notion of a perfectoid K-space, built by glueing together “spectra” of perfectoid K-algebras, has been defined. The main theorem concerning these objects is: Theorem 2 …

Webcan associate line bundles on X♭ to maps to a perfectoid analog of projective space using [DH19, Theorem 4.6] which in turn are in one-to-one correspondance for X and X ♭ by the …

dsquery user -stalepwdWebFeb 8, 2024 · Untilting Line Bundles on Perfectoid Spaces. Let X be a perfectoid space with tilt X. We build a natural map θ : PicX → limPicX where the (inverse) limit is taken over the … commercial roof contractor near meWebApr 21, 2024 · As a first example, one can use the perfectoid Tate algebra to define analogues of projective spaces in the category of perfectoid algebras; these play an … dsquery format outputWebWhen will the Picard groups of a perfectoid space Xand its tilt X[be isomorphic? Does every nite rank vector bundle on the projectivoid line split as a direct sum of line bundles? As we will see in this work, these all naturally lead to the following question. Question 1.0.3. For X=Kproper, where Kis a nontrivially-valued nonarchimedean commercial roof contractors thetfordWebFeb 8, 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. dsquery the logon attempt failedWebMay 11, 2024 · We use our results to answer some general questions about Picard groups and Picard functors of perfectoid spaces, ... This is part III of a series on line bundles on … dsr 2016 vol 2 pdf downloadWebPerfectoid spaces are a class of spaces in arithmetic geometry introduced in 2012 by Peter Scholze in his PhD thesis [Sch12]. Despite their youth, these spaces have had stunning applications to many di erent areas of mathematics, including number theory, algebraic geometry, representation theory, and dsr2020-001 end of life