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math.AG2025
Zero-cycles on quasi-projective surfaces over -adic fields
Evangelia Gazaki, Jitendra Rathore
A conjecture of Colliot-Thélène predicts that for a smooth projective variety over a finite extension of the kernel of the Albanese map $\text{CH}_0(X)^{\tex…
math.AG2025
Torsion in abelian fundamental group and its application
Rahul Gupta, Jitendra Rathore
We prove that the torsion subgroup of the abelian fundamental group is finite for a regular geometrically integral projective variety over a local field. We also study the structur…