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 Compositio MathematicaJournal Prestige (SJR): 3.139 Citation Impact (citeScore): 1Number of Followers: 2      Subscription journal ISSN (Print) 0010-437X - ISSN (Online) 1570-5846 Published by Cambridge University Press  [352 journals]
• A $p$-adic monodromy theorem for de Rham local systems

Authors: Shimizu; Koji
Pages: 2157 - 2205
Abstract: We study horizontal semistable and horizontal de Rham representations of the absolute Galois group of a certain smooth affinoid over a -adic field. In particular, we prove that a horizontal de Rham representation becomes horizontal semistable after a finite extension of the base field. As an application, we show that every de Rham local system on a smooth rigid analytic variety becomes horizontal semistable étale locally around every classical point. We also discuss potentially crystalline loci of de Rham local systems and cohomologically potentially good reduction loci of smooth proper morphisms.
PubDate: 2022-12-15
DOI: 10.1112/S0010437X2200776X

• The flow tree formula for Donaldson–Thomas invariants of quivers
with potentials

Authors: Argüz; Hülya, Bousseau, Pierrick
Pages: 2206 - 2249
Abstract: We prove the flow tree formula conjectured by Alexandrov and Pioline, which computes Donaldson–Thomas invariants of quivers with potentials in terms of a smaller set of attractor invariants. This result is obtained as a particular case of a more general flow tree formula reconstructing a consistent scattering diagram from its initial walls.
PubDate: 2022-12-19
DOI: 10.1112/S0010437X22007801

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