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9 votes
1 answer
284 views

Fundamental group of a smoothing of a complex surface

Let $X_0$ be a compact complex algebraic surface with an isolated singularity and let $X_t$ be a smoothing of $X_0$ over the disc. How can we compute the fundamental group of $X_t$ say in terms of the ...
Dori Bejleri's user avatar
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7 votes
1 answer
2k views

Relating the holomorphic Euler characteristic of a family of algebraic varieties to properties of the base and fibers

Let $f : X\rightarrow Y$ be a proper flat morphism (of schemes) with connected fibers over a smooth projective curve $Y$ over $\mathbb{C}$. Let $X_{y_0}$ denote a smooth fiber over $y_0\in Y$. If $f$ ...
Will Chen's user avatar
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