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math.NT2026★ 1 cited
Gan--Gross--Prasad cycles and derivatives of -adic -functions
Daniel Disegni, Wei Zhang
We study the p-adic analogue of the arithmetic Gan-Gross-Prasad (GGP) conjectures for unitary groups. Let be a conjugate-selfdual cuspidal automorphic representation of GL_{n}…
math.NT2024
Euler systems for conjugate-symplectic motives
Daniel Disegni
Let be a conjugate-symplectic, geometric representation of the Galois group of a CM field. Under the assumption that is automorphic, even-dimensional, and of minimal regu…
math.NT2024
Theta cycles and the Beilinson--Bloch--Kato conjectures
Daniel Disegni
We introduce `canonical' classes in the Selmer groups of certain Galois representations with a conjugate-symplectic symmetry. They are images of special cycles in unitary Shimura v…