R. Pollack

activity

20042022

most citedVariation of Iwasawa invariants in Hida families

151 citations · 289 across the 14 of their papers we have counts for

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2 papers · 1 filter

math.NT2022★ 3 cited

Explicit reciprocity laws and Iwasawa theory for modular forms

Matthew Emerton, Robert Pollack, Tom Weston

We prove that the Mazur-Tate elements of an eigenform $f$ sit inside the Fitting ideals of the corresponding dual Selmer groups along the cyclotomic $Z_{p}$ -extension (up to…

math.NT2022

Non-vanishing of critical $L$ -values in Hida families

Robert Pollack, Vlad Serban

We study the vanishing of $L (f, χ, j)$ as $f$ runs through all classical forms in a $p$ -adic Hida family (including forms with arbitrarily high nebentype at $p$ ), $χ$ runs through al…

Explicit reciprocity laws and Iwasawa theory for modular forms

Non-vanishing of critical L-values in Hida families

Non-vanishing of critical $L$ -values in Hida families