2 problems

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Greenberg's algebraic-rank conjecture for Coleman families
Let $\operatorname{\boldsymbol f}_U$ be a Coleman family, let $r_{\mathrm{min}}(\operatorname{\boldsymbol f}_U)$ be its minimal admissible generic rank, and let…
Conjectureopenalgebraic-rank coleman-families modular-formsarXiv posted 2 days ago
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Algebraic-rank criterion and exterior-power description of plectic Heegner classes
Let $A$ be the abelian variety, $E$ the number field, $L_{\mathfrak c}$ the anticyclotomic extension, and let $\chi$ be a character. Let $r$ be the number of primes in…
Conjectureopenabelian-varieties algebraic-rank plectic-cohomologyarXiv posted 2 days ago

Greenberg's algebraic-rank conjecture for Coleman families