Ampleness of intersections of translates of theta divisors in an abelian fourfold
classification
🧮 math.AG
keywords
generalabelianthetatranslatesampleamplenessbundlecomplete
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We prove that the cotangent bundle of a complete intersection of two general translates of the theta divisor of the jacobian of a general curve of genus 4 is ample. From this the same result for a general principally polarized abelian variety of dimension 4 follows.
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