Proposition 20.1.2`7E1DC3BE93AF`

Proposition 20.1.2.7E1DC3BE93AF Let $\pi \colon Y\rightarrow X$ be a blow-up with connected smooth center of codimension at least $2$ with exceptional divisor $E$. Then there is a natural identification

73D0C455ED1D 20.1.3

\begin{equation} \mathrm{H}^{1,1}(Y,\mathbb {R})=\mathrm{H}^{1,1}(X,\mathbb {R})\oplus \mathbb {R}\{ E\} . \end{equation}

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@misc{pome-tag-7E1DC3BE93AF,
  author = {{Pome contributors}},
  title = {Proposition 20.1.2},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/7E1DC3BE93AF/}
}

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Proposition 20.1.27E1DC3BE93AF

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Proposition 20.1.2`7E1DC3BE93AF`