Publication: Derived Log Albanese Sheaves
Derived Log Albanese Sheaves
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Binda, F., Merici, A., & Saito, S. (2022). Derived Log Albanese Sheaves (No. 00984; ArXiv.Org). https://doi.org/10.48550/arXiv.2107.00984
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We define higher pro-Albanese functors for every effective log motive over a field k of characteristic zero, and we compute them for every smooth log smooth scheme X=(X––,∂X). The result involves an inverse system of the coherent cohomology of the underlying scheme as well as a pro-group scheme Alblog(X) that extends Serre's semi-abelian Albanese variety of X––−|∂X|. This generalizes the higher Albanese sheaves of Ayoub, Barbieri-Viale and Kahn
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Binda, F., Merici, A., & Saito, S. (2022). Derived Log Albanese Sheaves (No. 00984; ArXiv.Org). https://doi.org/10.48550/arXiv.2107.00984
