REVIEW 1 cited by
Factorization of Algebraic $p$-adic $L$-functions Attached to Adjoint Representations of Coleman Families: Non-critical Case
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
The main objective of this article is to establish the $p$-adic Artin formalism for the algebraic $p$-adic $L$-functions attached to the adjoint representations of Coleman families of modular forms. In particular, we prove a factorization formula involving the determinants of appropriate Selmer complexes, using tools from rigid geometry, homological algebra, Euler systems, and $p$-adic Hodge theory. This work extends an earlier result of Palvannan to the $p$-non-ordinary setting.
Forward citations
Cited by 1 Pith paper
-
Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions
For Rankin-Selberg products of Hida and Coleman families, the paper proves equality of characteristic ideals of Selmer groups under the involution, yielding functional equations for algebraic p-adic L-functions.
Discussion (0). Continue with ORCID to comment.