Overconvergent Eichler–Shimura isomorphisms
2014 ◽
Vol 14
(2)
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pp. 221-274
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Keyword(s):
AbstractGiven a prime $p\gt 2$, an integer $h\geq 0$, and a wide open disk $U$ in the weight space $ \mathcal{W} $ of ${\mathbf{GL} }_{2} $, we construct a Hecke–Galois-equivariant morphism ${ \Psi }_{U}^{(h)} $ from the space of analytic families of overconvergent modular symbols over $U$ with bounded slope $\leq h$, to the corresponding space of analytic families of overconvergent modular forms, all with ${ \mathbb{C} }_{p} $-coefficients. We show that there is a finite subset $Z$ of $U$ for which this morphism induces a $p$-adic analytic family of isomorphisms relating overconvergent modular symbols of weight $k$ and slope $\leq h$ to overconvergent modular forms of weight $k+ 2$ and slope $\leq h$.
2017 ◽
Vol 13
(10)
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pp. 2687-2715
Keyword(s):
2009 ◽
Vol 05
(01)
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pp. 89-108
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2019 ◽
Vol 16
(04)
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pp. 731-746
Keyword(s):
2016 ◽
Vol 19
(A)
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pp. 205-219
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Keyword(s):
Keyword(s):
2012 ◽
Vol 08
(06)
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pp. 1425-1462
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