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
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