Heegner points, stark-Heegner points, and diagonal classes

Heegner points, stark-Heegner points, and diagonal classes

Author
Massimo Bertolini, Henri Darmon, Victor Rotger, Marco Adamo Seveso, Rodolfo Venerucci
Publisher
Société Mathématique de France
Language
English
Year
2022
Page
228
ISBN
9782856299593
File Type
pdf
File Size
5.3 MiB

This Volume Comprises Four Interrelated Articles Whose Unifying Theme Is The Study Of Heegner And Stark-heegner Points, And Their Connections With The Padic Logarithm Of Certain Global Cohomology Classes Attached To A Pair Of Weight One Theta Series Of A Common (imaginary Or Real) Quadratic Field. These Global Classes Are Obtained From P-adic Deformations Of Diagonal Classes Attached To Triples Of Modular Forms Of Weight > 1, And Naturally Generalise A Construction Of Kato Which One Recovers When The Two Theta Series Are Replaced By Eisenstein Series Of Weight One. Understanding The Extent To Which Such Classes Obtained Via The P-adic Interpolation Of Motivic Cohomology Classes Are Themselves Motivic Is A Key Motivation For This Study. A Second Is The Desire To Show That Stark-heegner Points, Whose Global Nature Is Still Poorly Understood Theoretically, Arise From Classes In Global Galois Cohomology. -- English Abstract From Page [iii]

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