Connections and restrictions to curves
classification
🧮 math.AG
keywords
algebraicconnectionsmoothadmitadmitsbundleclosedcomplex
read the original abstract
We construct a vector bundle $E$ on a smooth complex projective surface $X$ with the property that the restriction of $E$ to any smooth closed curve in $X$ admits an algebraic connection while $E$ does not admit any algebraic connection.
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