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Extending étale covers from the regular locus to a resolution of singularities

As indicated by @Angelo, this is often false. For example, let $X = (C \times C) / \left< \iota \times \iota \right>$ where $C$ is a hyperelliptic curve and $\iota : C \to C$ the hyperelliptic ...
Ben C's user avatar
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When is a del Pezzo surface a conic bundle?

It is not clear from the question whether you want to determine whether $X$ admits a conic bundle structure, or whether it is birational to a conic bundle surface. I will focus on the former. If you ...
Daniel Loughran's user avatar

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