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
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