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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Intersection numbers and theorem of the cube
On a smooth projective surface, the intersection number of two divisors $C,D$ may be defined as $\chi(O)-\chi(O(C))-\chi(O(D))+\chi(O(C+D))$ (Hartshorne, ex. V.1.1). Bilinearity of the intersection nu …