site stats

Untilting line bundles on perfectoid spaces

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 reduction. Our main result is that for sufficiently large covers, these can be described in terms of the special fibre: For example, our description implies that for a supersingular ... WebAlso, if Ais of characteristic p, then the untilting map # : A[!Ais an isomorphism of rings. Lemma 1.7. Let Abe an integral perfectoid ring. Then: (i)the untilting map # : A[!Ais continuous; (ii)the isomorphisms of monoids lim x7!x p A!A[= lim x7!xp A=pA!lim x7!x A=ˇAare homeomorphisms, where ˇ2Ais any perfectoid pseudo-uniformiser;

Video: Gabriel Dorfsman-Hopkins, "Untilting Line Bundles on …

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 … WebNov 21, 2011 · Perfectoid spaces. Peter Scholze. 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 operation which exchanges characteristic 0 and characteristic p. We deduce the weight-monodromy conjecture in certain cases by ... husqvarna snow thrower parts https://thehardengang.net

PERFECTOID SPACES - uni-bonn.de

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. WebMay 9, 2024 · Gabriel Dorfsman-Hopkins, Untilting Line Bundles on Perfectoid Spaces, Advances in Mixed Characteristic Commutative Algebra and Geometric Connections, … http://www.gabrieldorfsmanhopkins.com/files/projectivoidgeometry.pdf husqvarna snow thrower manual

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

Category:[2102.04354] Untilting Line Bundles on Perfectoid Spaces

Tags:Untilting line bundles on perfectoid spaces

Untilting line bundles on perfectoid spaces

Projective Geometry for Perfectoid Spaces - Semantic Scholar

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, … WebK[, 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 …

Untilting line bundles on perfectoid spaces

Did you know?

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. WebPub Date: February 2024 DOI: 10.48550/arXiv.2102.04354 arXiv: arXiv:2102.04354 Bibcode: 2024arXiv210204354D Keywords: Mathematics - Algebraic Geometry;

WebDepartment of Mathematics, University of California San Diego ***** Math 209 - Number Theory Seminar http://math.stanford.edu/~conrad/Perfseminar/refs/perfectoid.pdf

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 WebFeb 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 …

http://www-personal.umich.edu/~stevmatt/perfectoid2.pdf

WebMay 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 … mary markley hall addressWeb3. 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 mary markley stanfordWebNov 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 ... husqvarna soff-cut 4200WebThe 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 … husqvarna soff-cutWebA 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 … marymark medicalWebTo 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 … husqvarna snow thrower coverWebMay 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 … husqvarna soff cut saw parts