Kim Tuan Do

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20212024

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math.NT2024

Anticyclotomic Euler system over biquadratic fields

Kim Tuan Do

We construct a new Euler system (anticyclotomic, in the sense of Jetchev-Nekovar-Skinner) for the Galois representation $V_{f, χ}$ attached to a newform $f$ of weight $k \geq 2$ twis…

math.NT2023

Diagonal cycles and anticyclotomic Iwasawa theory of modular forms

Francesc Castella, Kim Tuan Do

We construct a new Euler system for the Galois representation $V_{f, χ}$ attached to a newform $f$ of weight $2 r \geq 2$ twisted by an anticyclotomic Hecke character $χ$ . The Euler s…