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Nagoya Mathematical Journal
Journal Prestige (SJR): 0.892  Citation Impact (citeScore): 1 Number of Followers: 0  Hybrid journal (It can contain Open Access articles)ISSN (Print) 0027-7630 - ISSN (Online) 2152-6842 Published by Cambridge University Press  [374 journals]
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- NMJ volume 235 Cover and Front matter
- PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/S0027763019000205
Issue No: Vol. 235 (2019)
- PubDate: 2019-09-01T00:00:00.000Z
- NMJ volume 235 Cover and Back matter
- PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/S0027763019000217
Issue No: Vol. 235 (2019)
- PubDate: 2019-09-01T00:00:00.000Z
- HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS
- Authors: KENTARO NAGAO; YUJI TERASHIMA, MASAHITO YAMAZAKI
Pages: 1 - 25
Abstract: We advocate the use of cluster algebras and their
$y$ -variables in the study of hyperbolic 3-manifolds. We study hyperbolic structures on the mapping tori of pseudo-Anosov mapping classes of punctured surfaces, and show that cluster 
$y$ -variables naturally give the solutions of the edge-gluing conditions of ideal tetrahedra. We also comment on the completeness of hyperbolic structures.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2017.39
Issue No: Vol. 235 (2019)
- Authors: KENTARO NAGAO; YUJI TERASHIMA, MASAHITO YAMAZAKI
- TILTING CHAINS OF NEGATIVE CURVES ON RATIONAL SURFACES
- Authors: LUTZ HILLE; DAVID PLOOG
Pages: 26 - 41
Abstract: We introduce the notion of exact tilting objects, which are partial tilting objects
$T$ inducing an equivalence between the abelian category generated by 
$T$ and the category of modules over the endomorphism algebra of 
$T$ . Given a chain of sufficiently negative rational curves on a rational surface, we construct an exceptional sequence whose universal extension is an exact tilting object. For a chain of 
$(-2)$ -curves, we obtain an equivalence with modules over a well-known algebra.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2017.40
Issue No: Vol. 235 (2019)
- Authors: LUTZ HILLE; DAVID PLOOG
- GROUP ACTION ON THE DEFORMATIONS OF A FORMAL GROUP OVER THE RING OF WITT
VECTORS- Authors: OLEG DEMCHENKO; ALEXANDER GUREVICH
Pages: 42 - 57
Abstract: A recent result by the authors gives an explicit construction for a universal deformation of a formal group
$\unicode[STIX]{x1D6F7}$ of finite height over a finite field 
$k$ . This provides in particular a parametrization of the set of deformations of 
$\unicode[STIX]{x1D6F7}$ over the ring 
${\mathcal{O}}$ of Witt vectors over 
$k$ . Another parametrization of the same set can be obtained through the Dieudonné theory. We find an explicit relation between these parameterizations. As a consequence, we obtain an explicit expression for the action of 
$\text{Aut}_{k}(\unicode[STIX]{x1D6F7})$ on the set of 
${\mathcal{O}}$ -deformations of 
$\unicode[STIX]{x1D6F7}$ in the coordinate system defined by the universal deformation. This generalizes a formula of Gross and Hopkins and the authors’ result for one-dimensional formal groups.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2017.43
Issue No: Vol. 235 (2019)
- Authors: OLEG DEMCHENKO; ALEXANDER GUREVICH
- SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS
WITH ABELIAN DEFECT GROUPS- Authors: SHIGEO KOSHITANI; CAROLINE LASSUEUR
Pages: 58 - 85
Abstract: Given an odd prime
$p$ , we investigate the position of simple modules in the stable Auslander–Reiten quiver of the principal block of a finite group with noncyclic abelian Sylow 
$p$ -subgroups. In particular, we prove a reduction to finite simple groups. In the case that the characteristic is 
$3$ , we prove that simple modules in the principal block all lie at the end of their components.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2017.45
Issue No: Vol. 235 (2019)
- Authors: SHIGEO KOSHITANI; CAROLINE LASSUEUR
- DISPLAYED EQUATIONS FOR GALOIS REPRESENTATIONS
- Authors: EIKE LAU
Pages: 86 - 114
Abstract: The Galois representation associated to a
$p$ -divisible group over a normal complete noetherian local ring with perfect residue field is described in terms of its Dieudonné display. As a consequence, the Kisin module associated to a commutative finite flat 
$p$ -group scheme via Dieudonné displays is related to its Galois representation in the expected way.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2018.3
Issue No: Vol. 235 (2019)
- Authors: EIKE LAU
- Authors: YUICHIRO HOSHI
Pages: 115 - 126
Abstract: In this paper, we prove that the set of equivalence classes of dormant opers of rank
$p-1$ over a projective smooth curve of genus 
${\geqslant}2$ over an algebraically closed field of characteristic 
$p>0$ is of cardinality one.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2018.4
Issue No: Vol. 235 (2019)
- Authors: YUICHIRO HOSHI
- n - 1, 1)+COXETER+GROUPS&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2019&rft.volume=235&rft.spage=127&rft.epage=157&rft.aulast=HIGASHITANI&rft.aufirst=AKIHIRO&rft.au=AKIHIRO+HIGASHITANI&rft.au=RYOSUKE+MINEYAMA,+NORIHIRO+NAKASHIMA&rft_id=info:doi/10.1017/nmj.2018.5">DISTRIBUTION OF ACCUMULATION POINTS OF ROOTS FOR TYPE (n - 1, 1)
COXETER GROUPS- Authors: AKIHIRO HIGASHITANI; RYOSUKE MINEYAMA, NORIHIRO NAKASHIMA
Pages: 127 - 157
Abstract: In this paper, we investigate the set of accumulation points of normalized roots of infinite Coxeter groups for certain class of their action. Concretely, we prove the conjecture proposed in [6, Section 3.2] in the case where the equipped Coxeter matrices are of type
$(n-1,1)$ , where 
$n$ is the rank. Moreover, we obtain that the set of such accumulation points coincides with the closure of the orbit of one point of normalized limit roots. In addition, in order to prove our main results, we also investigate some properties on fixed points of the action.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2018.5
Issue No: Vol. 235 (2019)
- Authors: AKIHIRO HIGASHITANI; RYOSUKE MINEYAMA, NORIHIRO NAKASHIMA
- TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0
- Authors: VIJAYLAXMI TRIVEDI
Pages: 158 - 200
Abstract: For a pair
$(R,I)$ , where 
$R$ is a standard graded domain of dimension 
$d$ over an algebraically closed field of characteristic 0, and 
$I$ is a graded ideal of finite colength, we prove that the existence of 
$\lim _{p\rightarrow \infty }e_{HK}(R_{p},I_{p})$ is equivalent, for any fixed 
$m\geqslant d-1$ , to the existence of 
$\lim _{p\rightarrow \infty }\ell (R_{p}/I_{p}^{[p^{m}]})/p^{md}$ . This we get as a consequence of Theorem 1.1: as 
$p\longrightarrow \infty$ , the convergence of the Hilbert–Kunz (HK) density function 
$f(R_{p},I_{p})$ is equivalent to the convergence of the truncated HK density functions 
$f_{m}(R_{p},I_{p})$ (in 
$L^{\infty }$
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2018.7
Issue No: Vol. 235 (2019)
- Authors: VIJAYLAXMI TRIVEDI
- Authors: FABRIZIO CATANESE; BINRU LI
Pages: 201 - 226
Abstract: The main goal of this paper is to show that Castelnuovo–Enriques’
$P_{12}$ - theorem (a precise version of the rough classification of algebraic surfaces) also holds for algebraic surfaces 
$S$ defined over an algebraically closed field 
$k$ of positive characteristic (
$\text{char}(k)=p>0$ ). The result relies on a main theorem describing the growth of the plurigenera for properly elliptic or properly quasielliptic surfaces (surfaces with Kodaira dimension equal to 1). We also discuss the limit cases, i.e., the families of surfaces which show that the result of the main theorem is sharp.
PubDate: 2019-09-01T00:00:00.000Z
DOI: 10.1017/nmj.2018.8
Issue No: Vol. 235 (2019)
- Authors: FABRIZIO CATANESE; BINRU LI
