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Vivek Shende
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Intersection multiplicity in abelian varieties

Suppose $A$ is an abelian variety, $X, Y$ are subvarieties of $A$ of complementary dimension,

Does every component of $X \cap Y$ contribute non-negatively to the intersection number?

Vivek Shende
  • 8.7k
  • 4
  • 39
  • 67