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- W3112640825 abstract "Let $S$ be a connected Dedekind scheme and $X$ be a proper smooth connected scheme over $S$ . Let $D$ a divisor with no multiplicity of $X$ such that the irreducible components of $D$ and as well their intersections are smooth over $S$. Now if we endow $X$ with the log structure associated with $D$ then the structure morphism from $X$ to $S$ is log-smooth. Let $x: S to X$ be a $S$-point such that it doesn't intersect $D$. Then we prove that the maximal abelian quotient of the log Nori fundamental group scheme of $X$ fits in to an exact sequence of the form $0 rightarrow (mathbf{NS}^{tau}_{X/S,D})^{vee} rightarrow (pi^text{log}_{text{Nori}}(X,x))^{text{ab}} rightarrow underset{n}{varprojlim} mathbf{Alb}_{X/S,D}[n] rightarrow 0$. Here $mathbf{NS}^{tau}_{X/S,D}$ is the torsion subgroup scheme of the generalized Neron-Severi group and $mathbf{Alb}_{X/S,D}$ is the generalized Albanese scheme associated with the divisor $D$." @default.
- W3112640825 created "2020-12-21" @default.
- W3112640825 creator A5072025325 @default.
- W3112640825 date "2020-12-05" @default.
- W3112640825 modified "2023-09-26" @default.
- W3112640825 title "Abelian Log Fundamental Group scheme" @default.
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