Results 21 to 30 of about 62,810,264 (78)
Heegner points in Coleman families
Abstract We construct two‐parameter analytic families of Galois cohomology classes interpolating the étale Abel–Jacobi images of generalised Heegner cycles, with both the modular form and Grössencharacter varying in p‐adic families.
Dimitar Jetchev +2 more
wiley +1 more source
Saturated de Rham-Witt complexes with unit-root coefficients [PDF]
The saturated de Rham-Witt complex, introduced by Bhatt-Lurie-Mathew, is a variant of the classical de Rham-Witt complex which provides a conceptual simplification of the classical construction and which is expected to produce better results for non ...
Fernando, Ravi
core +1 more source
One the P-Adic Local Invariant Cycle Theorem [PDF]
The aim of this paper is to consider the $p$-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the $p$-adic specialization map, and then write out the ...
Wu, Yi-Tao
core +1 more source
Prismatic F‐crystals and Wach modules
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley +1 more source
Rigid Cohomology and de Rham-Witt Complexes
Let k be a perfect field of characteristic p > 0, W_n = W_n(k) . For separated k
openaire +5 more sources
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Motivic p$p$‐adic tame cohomology
Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
wiley +1 more source
A new approach to de Rham–Witt complexes, after Bhatt, Lurie, and Mathew
This is a report on B. Bhatt, J. Lurie, and A. Mathew, Revisiting the de Rham– Witt complex , Astérisque 424 (2021). We review the main definitions and properties of the saturated de Rham–Witt complexes constructed by B. Bhatt, J. Lurie, and A.
openaire +2 more sources
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
On a common refinement of Stark units and Gross–Stark units
Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley +1 more source

