JournalTOCs

Journal of the Institute of Mathematics of Jussieu
Journal Prestige (SJR): 2.393

Citation Impact (citeScore): 1
Number of Followers: 0

Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1474-7480 - ISSN (Online) 1475-3030
Published by Cambridge University Press

[395 journals]

JMJ volume 20 Issue 2 Cover and Front matter
- PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748020000407
  Issue No: Vol. 20, No. 2 (2021)
JMJ volume 20 Issue 2 Cover and Back matter
- PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748020000419
  Issue No: Vol. 20, No. 2 (2021)
COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS
GROUPS
- Authors: Aprameyo Pal; Gergely Zábrádi
  Pages: 361 - 421
  Abstract: We show that the Galois cohomology groups of $p$-adic representations of a direct power of $\operatorname{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p})$ can be computed via the generalization of Herr’s complex to multivariable $(\unicode[STIX]{x1D711},\unicode[STIX]{x1D6E4})$-modules. Using Tate duality and a pairing for multivariable $(\unicode[STIX]{x1D711},\unicode[STIX]{x1D6E4})$-modules we extend this to analogues of the Iwasawa cohomology. We show that all $p$-adic representations of a direct power of $\operatorname{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p})$ are overconvergent and, moreover, passing to overconvergent multivariable $(\unicode[STIX]{x1D711},\unicode[STIX]{x1D6E4})$-modules is an equivalence of categories. Finally, we prove that the overconvergent Herr complex also computes the Galois cohomology groups.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000197
  Issue No: Vol. 20, No. 2 (2021)
$GL(N,\mathbb{F}_{q}((t)))$ &rft.title=Journal+of+the+Institute+of+Mathematics+of+Jussieu&rft.issn=1474-7480&rft.date=2021&rft.volume=20&rft.spage=423&rft.epage=515&rft.aulast=Lemaire&rft.aufirst=Bertrand&rft.au=Bertrand+Lemaire&rft_id=info:doi/10.1017/S1474748019000227">INTÉGRALES ORBITALES SUR $GL(N,\mathbb{F}_{q}((t)))$
- Authors: Bertrand Lemaire
  Pages: 423 - 515
  Abstract: Soit $F$ un corps local non archimédien de caractéristique ${\geqslant}0$, et soit $G=GL(N,F)$, $N\geqslant 1$. Un élément $\unicode[STIX]{x1D6FE}\in G$ est dit quasi régulier si le centralisateur de $\unicode[STIX]{x1D6FE}$ dans $M(N,F)$ est un produit d’extensions de $F$. Soit $G_{\text{qr}}$ l’ensemble des éléments quasi réguliers de $G$. Pour $\unicode[STIX]{x1D6FE}\in G_{\text{qr}}$, on note $O_{\unicode[STIX]{x1D6FE}}$
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000227
  Issue No: Vol. 20, No. 2 (2021)
ON STABILITY OF PHYSICALLY REASONABLE SOLUTIONS TO THE TWO-DIMENSIONAL
NAVIER–STOKES EQUATIONS
- Authors: Yasunori Maekawa
  Pages: 517 - 568
  Abstract: The flow past an obstacle is a fundamental object in fluid mechanics. In 1967 Finn and Smith proved the unique existence of stationary solutions, called the physically reasonable solutions, to the Navier–Stokes equations in a two-dimensional exterior domain modeling this type of flows when the Reynolds number is sufficiently small. The asymptotic behavior of their solution at spatial infinity has been studied in detail and well understood by now, while its stability has remained open due to the difficulty specific to the two-dimensionality. In this paper, we prove that the physically reasonable solutions constructed by Finn and Smith are asymptotically stable with respect to small and well-localized initial perturbations.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000240
  Issue No: Vol. 20, No. 2 (2021)
BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES
- Authors: Johann Langemets; Ginés López-Pérez
  Pages: 569 - 585
  Abstract: We prove that every separable Banach space containing an isomorphic copy of $\ell _{1}$ can be equivalently renormed so that the new bidual norm is octahedral. This answers, in the separable case, a question in Godefroy [Metric characterization of first Baire class linear forms and octahedral norms, Studia Math. 95 (1989), 1–15]. As a direct consequence, we obtain that every dual Banach space, with a separable predual and failing to be strongly regular, can be equivalently renormed with a dual norm to satisfy the strong diameter two property.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000264
  Issue No: Vol. 20, No. 2 (2021)
$F$-ISOCRYSTALS+ON+ABELIAN+VARIETIES+AND+ISOTRIVIALITY+OF+FAMILIES+OF+CURVES&rft.title=Journal+of+the+Institute+of+Mathematics+of+Jussieu&rft.issn=1474-7480&rft.date=2021&rft.volume=20&rft.spage=587&rft.epage=625&rft.aulast=Tsuzuki&rft.aufirst=Nobuo&rft.au=Nobuo+Tsuzuki&rft_id=info:doi/10.1017/S1474748019000276">CONSTANCY OF NEWTON POLYGONS OF $F$-ISOCRYSTALS ON ABELIAN VARIETIES AND
ISOTRIVIALITY OF FAMILIES OF CURVES
- Authors: Nobuo Tsuzuki
  Pages: 587 - 625
  Abstract: We prove constancy of Newton polygons of all convergent $F$-isocrystals on Abelian varieties over finite fields. Applying the constancy, we prove the isotriviality of proper smooth families of curves over Abelian varieties. More generally, we prove the isotriviality over projective smooth varieties on which any convergent $F$-isocrystal has constant Newton polygons.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000276
  Issue No: Vol. 20, No. 2 (2021)
IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS
- Authors: Alberto Castaño Domínguez; Christian Sevenheck
  Pages: 627 - 668
  Abstract: We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric ${\mathcal{D}}$-modules. We obtain, in particular, a formula for the irregular Hodge numbers of these systems. We use the reduction of hypergeometric systems from GKZ-systems as well as comparison results to Gauss–Manin systems of Laurent polynomials via Fourier–Laplace and Radon transformations.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000288
  Issue No: Vol. 20, No. 2 (2021)
THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN
VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
- Authors: Pietro Corvaja; Dragos Ghioca, Thomas Scanlon, Umberto Zannier
  Pages: 669 - 698
  Abstract: Let $K$ be an algebraically closed field of prime characteristic $p$, let $X$ be a semiabelian variety defined over a finite subfield of $K$, let $\unicode[STIX]{x1D6F7}:X\longrightarrow X$ be a regular self-map defined over $K$, let $V\subset X$ be a subvariety defined over $K$, and let $\unicode[STIX]{x1D6FC}\in X(K)$. The dynamical Mordell–Lang conjecture in characteristic $p$ predicts that the set $S=\{n\in \mathbb{N}:\unicode[STIX]{x1D6F7}^{n}(\unicode[STIX]{x1D6FC})\in V\}$ is a union of finitely many arithmetic progressions, along with finitely many $p$
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000318
  Issue No: Vol. 20, No. 2 (2021)
CHARACTERIZING O-MINIMAL GROUPS IN TAME EXPANSIONS OF O-MINIMAL STRUCTURES
- Authors: Pantelis E. Eleftheriou
  Pages: 699 - 724
  Abstract: We establish the first global results for groups definable in tame expansions of o-minimal structures. Let ${\mathcal{N}}$ be an expansion of an o-minimal structure ${\mathcal{M}}$ that admits a good dimension theory. The setting includes dense pairs of o-minimal structures, expansions of ${\mathcal{M}}$ by a Mann group, or by a subgroup of an elliptic curve, or a dense independent set. We prove: (1) a Weil’s group chunk theorem that guarantees a definable group with an o-minimal group chunk is o-minimal, (2) a full characterization of those definable groups that are o-minimal as those groups that have maximal dimension; namely, their dimension equals the dimension of their topological closure, (3) as an application, if ${\mathcal{N}}$ expands ${\mathcal{M}}$ by a dense independent set, then every definable group is o-minimal.
  PubDate: 2021-03-01T00:00:00.000Z
  DOI: 10.1017/S1474748019000392
  Issue No: Vol. 20, No. 2 (2021)