### Topological equisingularity for isolated complete intersection singularities

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Let $X$ be a smooth projective curve defined over an algebraically closed field $k$, and let ${F}_{X}$ denote the absolute Frobenius morphism of $X$ when the characteristic of $k$ is positive. A vector bundle over $X$ is called virtually globally generated if its pull back, by some finite morphism to $X$ from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of $k$ is positive, a vector bundle $E$ over $X$ is virtually globally generated if and only if ${\left({F}_{X}^{m}\right)}^{*}E\phantom{\rule{0.166667em}{0ex}}\cong \phantom{\rule{0.166667em}{0ex}}{E}_{a}\oplus {E}_{f}$ for...

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