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The Frobenius and monodromy operators for curves and abelian varieties
In this paper, we give explicit descriptions of Hyodo and Kato's Frobenius and Monodromy operators on the first $p$-adic de Rham cohomology groups of curves and Abelian varieties with semi-stableExpand
On overconvergent hilbert modular cusp forms
3 Overconvergent modular forms for the group G∗ 7 3.1 Hilbert modular varieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 The canonical subgroup theory . . . . . . . . . . .Expand
A p-adic nonabelian criterion for good reduction of curves
3 Universal unipotent objects 9 3.1 The Kummer etale site . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 The etale category . . . . . . . . . . . . . . . . . . . . . . . . . .Expand
Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms
In this paper we prove a Gross-Zagier type formula for the anticyclotomic p-adic L-function of an elliptic modular form f of higher weight and of multiplicative type at p. For such f we also decribeExpand
Logarithmic differential forms on p-adic symmetric spaces
We give an explicit description in terms of logarithmic differential forms of the isomorphism of P. Schneider and U. Stuhler relating de Rham cohomology of p-adic symmetric spaces to boundaryExpand
THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES
  • H. Darmon, A. Iovita
  • Mathematics
  • Journal of the Institute of Mathematics of…
  • 16 November 2007
The Main Conjecture of Iwasawa theory for an elliptic curve $E$ over $\mathbb{Q}$ and the anticyclotomic $\mathbb{Z}_p$-extension of an imaginary quadratic field $K$ was studied inExpand
Comparison isomorphisms for smooth formal schemes
2 Fontaine sheaves 9 2.1 Faltings’ topos; the algebraic setting . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Faltings’ topos; the formal setting . . . . . . . . . . . . . . . . . . . . . . .Expand
Overconvergent Eichler–Shimura isomorphisms
Abstract Given 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 ${Expand
Semistable sheaves and comparison isomorphisms in the semistable case
For a smooth proper scheme over a local field of mixed characteristics which has semistable reduction we define the category of its semistable etale sheaves and under certain hypothesis we prove theExpand
p-adic height pairings on abelian varieties with semistable ordinary reduction
We prove that for abelian varieties with semistable ordinary reduction the p-adic Mazur-Tate height pairing is induced by the unit root splitting of the Hodge filtration on the first deRhamExpand
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