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Untilting line bundles on perfectoid spaces

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 ... WebMay 9, 2024 · Gabriel Dorfsman-Hopkins, Untilting Line Bundles on Perfectoid Spaces, Advances in Mixed Characteristic Commutative Algebra and Geometric Connections, …

Linebundlesonperfectoidcovers: caseofgoodreduction - arXiv

WebWhen 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 WebUntilting Line Bundles on Perfectoid Spaces. by Gabriel Dorfsman-Hopkins. Functionalities for genus 2 and 3 curves. by Reynald Lercier. On the abundance theorem for numerically trivial canonical divisors in positive characteristic. by Sho Ejiri. The slope of fibred surfaces: unitary rank and Clifford index. craigslist tallahassee florida https://sailingmatise.com

Perfectoid space - Wikipedia

WebLet be a perfectoid space with tilt . We 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 a characteriz… WebAs our first application of Theorem 1.2, we deduce several useful criteria for telling whether a v-line bundle is analytic, that is, descends to a line bundle in the analytic topology. Corollary 1.4. Let L be a v-line bundle on X. Let 𝑉⊆𝑋be any Zariski-dense analytic open subspace. Then L is analytic if and only if 𝐿 𝑉is analytic. 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 … diy ikea hack shelves

Line bundles on perfectoid covers: case of good reduction

Category:UntiltingLineBundlesonPerfectoidSpaces - ResearchGate

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Untilting line bundles on perfectoid spaces

[2102.04354] Untilting Line Bundles on Perfectoid Spaces

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 our website. WebFeb 8, 2024 · perfectoid cover of projective space and p erfectoid covers of toric varieties where the analogous map is an isomorphism ([DH19, Theorem 3.4] and [DHRW2 0, …

Untilting line bundles on perfectoid spaces

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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 … 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 …

WebPERFECTOID SPACES 249 R n-algebra which is étale after inverting p, and one defines S m as the integral closure of R m in (S n ⊗ Rn R m)[p−1]for m ≥n, then the direct limit S∞ of the S m is almost finite étale over R∞.IfonedefinesS=S n ⊗ Rn R, then S is finite étale over R, and our version of the almost purity theorem says that S is almost finite étale over R =Rˆ

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, … 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 …

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 …

WebApr 12, 2024 · Untilting Line Bundles on Perfectoid Spaces. Gabriel Dorfsman-Hopkins; Mathematics. 2024 … Expand. 1. PDF. Save. Alert. Line bundles on perfectoid covers: … diy ikea rolling storage cabinetWebK[, we can chain this together with the correspondence of line bundles and maps to projectivoid space to compare line bundles on Xand X[. The main result follows. Theorem … craigslist tallahassee carsWebPERFECTOID SPACES 3 Claim 1.4. The a ne line A1 K[‘is equal to’ the inverse limit lim T7!p A 1, where T is the coordinate on A1. One way in which this is correct is the observation that it is true on K[-, resp. K-, valued points. Moreover, for … craigslist tahoma cahttp://www.gabrieldorfsmanhopkins.com/files/projectivoidgeometry.pdf diy ikea kitchen island hacksWebFor proper smooth rigid spaces X in characteristic 0, we have seen in [28, Theorem 1.1] that the ´etale Picard functor defined on perfectoid test objects is the diamondification of the rigid analytic Picard functor. We had used this to characterise line bundles on X that are trivialised by pro-finite-´etale covers. craigslist tallahassee cars and trucksWebUntilting Line Bundles on Perfectoid Spaces. by Gabriel Dorfsman-Hopkins. Functionalities for genus 2 and 3 curves. by Reynald Lercier. On the abundance theorem for numerically trivial canonical divisors in positive characteristic. by Sho Ejiri. The slope of fibred surfaces: unitary rank and Clifford index. craigslist talk to an interior designerWebFeb 8, 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on … diy ikea linnmon outdoor table