On the p-adic weight-monodromy conjecture for complete intersetions in toric varieties

F Binda, H Kato, A Vezzani - arXiv preprint arXiv:2207.00369, 2022 - arxiv.org
We give a proof of the $ p $-adic weight monodromy conjecture for scheme-theoretic
complete intersections in projective smooth toric varieties. The strategy is based on …

A note on effective descent for overconvergent isocrystals

C Lazda - Journal of Number Theory, 2022 - Elsevier
In this short note we explain the proof that proper surjective and faithfully flat maps are
morphisms of effective descent for overconvergent isocrystals. We then show how to deduce …

Combinatorial degenerations of surfaces and Calabi–Yau threefolds

B Chiarellotto, C Lazda - Algebra & Number Theory, 2016 - msp.org
In this article we study combinatorial degenerations of minimal surfaces of Kodaira
dimension 0 over local fields, and in particular show that the “type” of the degeneration can …

Differential equations and Lie group representations

KF Lai - Frontiers of Mathematics in China, 2022 - Springer
We discuss the role of differential equations in Lie group representation theory. We use
Kashiwara's pentagon as a reference frame for the real representation theory and then …

Limits of weight filtrations and limits of slope filtrations on infinitesimal cohomologies in mixed characteristics I

Y Nakkajima - arXiv preprint arXiv:1902.00182, 2019 - arxiv.org
In this book we construct fundamental filtered complexes in filtered derived categories.
These are generalizations of a filtered complex constructed by Mokrane. As an application of …

A Conjecture of Flach and Morin

B Chiarellotto, N Mazzari, Y Nakada - arXiv preprint arXiv:2303.09839, 2023 - arxiv.org
A conjecture, recently stated by Flach and Morin, relates the action of the monodromy on the
Galois invariant part of the p-adic Beilinson-Hyodo-Kato cohomology of the generic fiber of a …

[HTML][HTML] Rigid cohomology via the tilting equivalence

A Vezzani - Journal of Pure and Applied Algebra, 2019 - Elsevier
We define a de Rham cohomology theory for analytic varieties over a valued field K♭ of
equal characteristic p with coefficients in a chosen untilt of the perfection of K♭ by means of …

Around-independence

B Chiarellotto, C Lazda - Compositio Mathematica, 2018 - cambridge.org
Around c-independence Page 1 Around c-independence Bruno Chiarellotto and Christopher
Lazda Compositio Math. 154 (2018), 223–248. doi:10.1112/S0010437X17007527 …

AROUND THE NEARBY CYCLE FUNCTOR FOR ARITHMETIC-MODULES

T Abe - Nagoya Mathematical Journal, 2019 - cambridge.org
AROUND THE NEARBY CYCLE FUNCTOR FOR ARITHMETIC D-MODULES Page 1 Nagoya
Math. J., 236 (2019), 1–28 DOI 10.1017/nmj.2019.23 AROUND THE NEARBY CYCLE …

A conjecture of Flach and Morin

B Chiarellotto, N Mazzari, Y Nakada - Journal of Number Theory, 2024 - Elsevier
A conjecture recently stated by Flach and Morin relates the action of the monodromy on the
Galois invariant part of the p-adic Beilinson–Hyodo–Kato cohomology of the generic fiber of …