Albanese Maps and Fundamental Groups of Varieties With Many Rational Points Over Function Fields

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چکیده

Abstract We investigate properties of the Albanese map and fundamental group a complex projective variety with many rational points over some function field prove that every linear quotient such is virtually abelian, as well its surjective, has connected fibres, no multiple fibres in codimension one.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab255