scholarly journals Attaining Potentially Good Reduction in Arithmetic Dynamics

Author(s):  
R. L. Benedetto
2018 ◽  
Vol 6 ◽  
Author(s):  
WANSU KIM

We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6(2018) e8, 110 MR 3812116].


2002 ◽  
Vol 97 (2) ◽  
pp. 447-471 ◽  
Author(s):  
Francis Gardeyn
Keyword(s):  

2018 ◽  
Vol 154 (10) ◽  
pp. 2045-2054
Author(s):  
Andrew Snowden ◽  
Jacob Tsimerman

Given a non-isotrivial elliptic curve over an arithmetic surface, one obtains a lisse $\ell$-adic sheaf of rank two over the surface. This lisse sheaf has a number of straightforward properties: cyclotomic determinant, finite ramification, rational traces of Frobenius elements, and somewhere not potentially good reduction. We prove that any lisse sheaf of rank two possessing these properties comes from an elliptic curve.


1968 ◽  
Vol 88 (3) ◽  
pp. 492 ◽  
Author(s):  
Jean-Pierre Serre ◽  
John Tate

Author(s):  
Dorin PLESA ◽  
Gheorghe MIHAI ◽  
Nicuşor SIMA ◽  
Dan PAVEL ◽  
Mihaela MIHAI ◽  
...  

. Pteridium species around the world are aggressive, very productive, functionally closer to shrubs than ferns. Their rhizomes, buried deep and rich in starch, allow them to survive repeated fires and their efficient uptake of nutrients allow them to exploit a wide range of soils (McGlone et al., 2005). Mechanical methods. Tillage and cultivation. On lands that are not too steep or rocky, a good reduction in fern coverage can be achieved by plowing from late June to early August. The goal is to plow deep in order to expose the rhizomes, leaving them undisturbed throughout the winter and followed by the spring sowing


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