We construct three-variable $ p $-adic families of Galois cohomology classes attached to
Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these …

This article is the first in a series devoted to studying generalised Gross-Kudla-Schoen
diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties …

We show that the Euler system associated with Rankin–Selberg convolutions of modular
forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular …

In this paper we make a systematic study of certain motivic cohomology classes (``Rankin-
Eisenstein classes'') attached to the Rankin-Selberg convolution of two modular forms of …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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As the open-source and free competitor to expensive software like MapleTM, Mathematica®,
Magma, and MATLAB®, Sage offers anyone with access to a web browser the ability to use …

In this paper we prove the $\pm $-main conjecture of Iwasawa theory formulated by
Kobayashi for elliptic curves with supersingular reduction at an odd prime $ p $ such that …

In this paper, we give a new geometric definition of nearly overconvergent modular forms
and $ p $-adically interpolate the Gauss-Manin connection on this space. This can be seen …

For a connected reductive group G over a finite field, we study automorphic vector bundles
on the stack of G-zips. In particular, we give a formula in the general case for the space of …

Shimura developed his theory of nearly holomorphic forms in his study on the algebraicity of
special L-values and Klingen Eisenstein series [42, 45]. With the goal of combining this …