A cohomological interpretation of Bogomolov's instability
classification
🧮 math.AG
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bogomolovinstabilitycharacterizescohomologicalcohomologydivisorequivalentfirst
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We give a new proof of Bogomolov's instability theorem. Furthermore we prove that it is equivalent to a statement which characterizes when the first cohomology group of a suitable divisor does not vanish.
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