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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Deformation of a singular CY manifold
Let $X$ and $Y$ be generic cubic and quadric hypersurfaces in $\mathbb{CP}^4$. Let $Z$ be their intersection, which is a K3 surface. Then by adjunction formula, $N_{Z/X}=-K_X|_Z$ and $N_{Z/Y}=-K_Y|_Z$ …