Results 11 to 20 of about 355,706 (139)

Hodge–Witt decomposition of relative crystalline cohomology

Journal of the London Mathematical Society, 2022
For a smooth and proper scheme over an artinian local ring with ordinary reduction over the perfect residue field we prove - under some general assumptions - that the relative de Rham-Witt spectral sequence degenerates and the relative crystalline cohomology, equipped with its display structure arising from the Nygaard complexes, has a Hodge-Witt ...
Gregory, O, Langer, A
openaire   +4 more sources

Crystalline Cohomology of Towers of Curves [PDF]

International Mathematics Research Notices, 2018
AbstractWe investigate the geometry of finite maps and correspondences between curves, and construct canonical trace and pullback maps between Hyodo–Kato integral structures on de Rham cohomology of curves, which are functorial for finite morphisms of the generic fibres.
Vonk, J, Vonk, Jan
openaire   +4 more sources

Finiteness of crystalline cohomology of higher level [PDF]

Annales de l'Institut Fourier, 2015
We prove the finiteness of crystalline cohomology of higher level. An important ingredient is a “higher de Rham complex” that satisfies a kind of Poincaré lemma.
ミヤタニ, カズアキ, 宮谷, 和尭, 10711145, 406042/profile-ja.html, Miyatani, Kazuaki, 1393   +5 more
openaire   +5 more sources

Revisiting derived crystalline cohomology [PDF]

Bulletin de la Société mathématique de France
The version accepted by the journal (Bulletin de la Soci\'et\'e Math\'ematique de France)
Mao, Zhouhang
core   +5 more sources

Crystalline part of the Galois cohomology of crystalline representations [PDF]

Accepted for publication in Bulletin de la Soci\'et\'e Math\'ematique de ...
Abhinandan
core   +4 more sources

AI-Driven Defect Engineering for Advanced Thermoelectric Materials. [PDF]

Adv Mater
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Fu CL, Cheng M, Hung NT, Rha E, Chen Z, Okabe R, Carrizales DC, Mandal M, Cheng Y, Li M.   +9 more
europepmc   +2 more sources

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023
Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley   +1 more source

Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$

Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023
Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
wiley   +1 more source

Bounds on the number of rational points of curves in families

Bulletin of the London Mathematical Society, Volume 55, Issue 2, Page 1019-1032, April 2023., 2023
Abstract In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside of a fixed set of primes. We use that due to Bertin–Romagny, the Kodaira–Parshin families constructed by Lawrence–Venkatesh can themselves be assembled into a ...
Pedro Lemos, Alex Torzewski
wiley   +1 more source

On the images of Galois representations attached to low weight Siegel modular forms

Journal of the London Mathematical Society, Volume 106, Issue 1, Page 358-387, July 2022., 2022
Abstract Let π$\pi$ be a cuspidal automorphic representation of GSp4(AQ)$\operatorname{GSp}_4(\mathbf {A}_\mathbf {Q})$, whose archimedean component is a holomorphic discrete series or limit of discrete series representation. If π$\pi$ is not CAP or endoscopic, then we show that its associated ℓ$\ell$‐adic Galois representations are irreducible and ...
Ariel Weiss
wiley   +1 more source