$$\ell $$-independence of the trace of local monodromy in a relative case (with an appendix by Qing Lu and Weizhe Zheng)

Author(s):  
Hiroki Kato
2011 ◽  
Vol 36 (5) ◽  
pp. 702-705 ◽  
Author(s):  
Thomas E. Barchyn ◽  
Chris H. Hugenholtz ◽  
Jean T. Ellis

2005 ◽  
Vol 01 (01) ◽  
pp. 109-154 ◽  
Author(s):  
KIRAN S. KEDLAYA

This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification of quasi-unipotent ∇-modules, the Christol–Mebkhout construction of the ramification filtration, and the Christol–Dwork Frobenius antecedent theorem. We also briefly discuss the p-adic local monodromy theorem without proof.


1954 ◽  
Vol 30 (9) ◽  
pp. 841-845
Author(s):  
Yoshiro Inoue
Keyword(s):  

1974 ◽  
Vol 15 (3) ◽  
pp. 659-677
Author(s):  
K. BRASCH ◽  
G. H. M. ADAMS ◽  
J. M. NEELIN

Regenerating blood of geese suffering from phenylhydrazine anaemia was separated into ‘mature’ and ‘immature’ cell populations by centrifugation through a barrier of BSA. Socalled ‘mature cells’ consisted of mainly mature erythrocytes and ‘immature cells’ included two-thirds polychromatic and younger erythroblasts. Histone proteins, dissociated from isolated nuclei of both populations of cells by sequential extraction with citric acid and hydrochloric acid, were compared and the nuclei were examined by electron microscopy. Erythrocyte-specific histone V (f2c) was fully extracted from immature nuclei at pH 2.0, but only partially extracted at the same pH from mature nuclei. An inverse correlation was found between relative case of extraction and alkali-labile phosphate content of purified samples of histone V. The more readily dissociated fraction of histone V from immature nuclei had a higher phosphate content than the less readily dissociated component V from immature and mature nuclei. Chromatin in mature nuclei became tightly congealed after only partial extraction of histone V at pH 2.0, but loosened visibly after subsequent full extraction of histone V at pH 1.8. In contrast, chromatin in immature nuclei never became totally congealed. Histone V may be a tissue-specific agent involved in packing of DNA within chromatin fibrils. During erythropoiesis, progressive decrease of histone V phosphate may lead to its increased binding affinity for chromatin and thus to the gradual transformation of the erythrocyte genome into a permanently repressed state.


1992 ◽  
Vol 44 (6) ◽  
pp. 1262-1271 ◽  
Author(s):  
Murray Marshall

AbstractThe results obtained extend Madden’s result for Dedekind domains to more general types of 1-dimensional Noetherian rings. In particular, these results apply to piecewise polynomial functions t:C → R where R is a real closed field and C ⊆ Rn is a closed 1-dimensional semi-algebraic set, and also to the associated “relative” case where t, C are defined over some subfield K ⊆ R.


2016 ◽  
Vol 6 (1) ◽  
pp. 72-92
Author(s):  
Michael Fortescue

Abstract The Eskimo-Uralic hypothesis of a genetic link between Eskimo-Aleut and the Uralic languages is now reaching its second centenary. Two major problems with its advancement since Bergsland’s (1959) summary of its status are addressed in this article. The first of these is the lack of an obvious correlate of the ubiquitous Eskimo-Aleut (EA) relative case marker -m in Uralic; the other is the lack of an m-initial first person singular morpheme in EA to correlate with that of the Uralic languages. That the EA singular genitive/relative marker -m — as well as the instrumental/accusative singular -mək based on it — might be cognate with Uralic singular accusative -m was suggested already by Sauvageot (1953), but no firm conclusion on the matter has since been reached. This has remained a tantalizing possibility, despite the conflicting semantics. However, the remarkable morphosyntactic parallels between Eskimo-Aleut and Samoyedic in particular have grown more apparent with recent publications. A solution is proposed, linking the emergence of ergativity in the Eskimo-Aleut family with a reanalysis of the original nominative-accusative case marking system.


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