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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.

3 votes
1 answer
687 views

Family of elliptic curves in $\mathbb P^3$

For points $p_1=[1,0,0,0], p_2=[0,1,0,0], p_3=[0,0,1,0]$, $p_4=[0,0,0,1]$ and $p_5=[1,1,1,1]$ in the projective space $\mathbb P^3$, Let $l_{ij}$ be the line through $p_i, p_j$. Let $$C=l_{12} \cup …
1 vote

Deformation of a singular CY manifold

Let me explain more concretely what's happening. Choose a smooth quintic hypersurface $W$ in $\mathbb C \mathbb P^4$ that intersect transversely with $X \cap Y$. Then $W$ and $X+Y$ are linearly equiv …
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