A functorial approach to regular homomorphisms
نویسندگان
چکیده
Classically, regular homomorphisms have been defined as a replacement for Abel--Jacobi maps smooth varieties over an algebraically closed field. In this work, we interpret morphisms from the functor of families trivial cycles to abelian and thereby define in relative setting, e.g., schemes parameterized by variety given that general establish existence initial homomorphism, going name algebraic representative, codimension-2 on proper scheme base. This extends result Murre projective addition, prove base change results representatives well descent properties along separable field extensions. case where is subfield complex numbers identify representative with subtorus intermediate Jacobian fibration which was constructed previous work. At heart our arguments extensions Albanese torsors separated, geometrically integral finite type
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ژورنال
عنوان ژورنال: Algebraic geometry
سال: 2023
ISSN: ['2313-1691', '2214-2584']
DOI: https://doi.org/10.14231/ag-2023-003