scholarly journals Categorical representation of locally noetherian log schemes

2004 ◽  
Vol 188 (1) ◽  
pp. 222-246 ◽  
Author(s):  
Shinichi Mochizuki
Author(s):  
Martin Olsson

Abstract We prove versions of various classical results on specialisation of fundamental groups in the context of log schemes in the sense of Fontaine and Illusie, generalising earlier results of Hoshi, Lepage and Orgogozo. The key technical result relates the category of finite Kummer étale covers of an fs log scheme over a complete Noetherian local ring to the Kummer étale coverings of its reduction.


2017 ◽  
Vol 69 (1) ◽  
pp. 107-129
Author(s):  
Masoud Kamgarpour

AbstractUnder the local Langlands correspondence, the conductor of an irreducible representation of Gln(F) is greater than the Swan conductor of the corresponding Galois representation. In this paper, we establish the geometric analogue of this statement by showing that the conductor of a categorical representation of the loop group is greater than the irregularity of the corresponding meromorphic connection.


2017 ◽  
Vol 17 (10) ◽  
pp. 281 ◽  
Author(s):  
Stefania Mattioni ◽  
Mohamed Rezk ◽  
Karen Cuculiza ◽  
Ceren Battal ◽  
Roberto Bottini ◽  
...  

2012 ◽  
Vol 22 (04) ◽  
pp. 1250074 ◽  
Author(s):  
J. TENREIRO MACHADO ◽  
ANTÓNIO C. COSTA ◽  
MARIA DULCE QUELHAS

This paper studies the DNA code of eleven mammals from the perspective of fractional dynamics. The application of Fourier transform and power law trendlines leads to a categorical representation of species and chromosomes. The DNA information reveals long range memory characteristics.


1999 ◽  
Vol 6 (5) ◽  
pp. 569-585 ◽  
Author(s):  
Paul C. Quinn ◽  
Christopher M. Norris ◽  
Rita N. Pasko ◽  
Tanya M. Schmader ◽  
Clay Mash

2012 ◽  
Vol 230 (4-6) ◽  
pp. 1646-1672 ◽  
Author(s):  
Wiesława Nizioł
Keyword(s):  
K Theory ◽  

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