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Let $X$ be a smooth, projective surface in $\mathbb{P}^3$ and $p \subset X$ a closed point in $X$. Is it true thatHow do I compute$H^1(\mathcal{O}_{X\backslash p})=0$$H^1(\mathcal{O}_{X\backslash p})$?
Any reference/idea will be most welcome.
Let $X$ be a smooth, projective surface in $\mathbb{P}^3$ and $p \subset X$ a closed point in $X$. Is it true that$H^1(\mathcal{O}_{X\backslash p})=0$?
Let $X$ be a smooth, projective surface in $\mathbb{P}^3$ and $p \subset X$ a closed point in $X$. How do I compute$H^1(\mathcal{O}_{X\backslash p})$?
Any reference/idea will be most welcome.
Sheaf cohomology of a complement of finitely many points
Let $X$ be a smooth, projective surface in $\mathbb{P}^3$ and $p \subset X$ a closed point in $X$. Is it true that $H^1(\mathcal{O}_{X\backslash p})=0$?
