2
$\begingroup$

Let $F$ be a coherent sheaf on $\mathbb{P}^n$. Why do there exist integers $N$ and $p$ such that there is a surjection $\mathcal{O}_{\mathbb{P}^n}(p)^{\oplus N}\rightarrow F\rightarrow 0\;?$

I might be misinterpreting a book, so if the above is false, then what would a similar true statement be?

  • 0
    Well... Just in case this'll be helpful to someone, the above is corollary 5.4.3 on page 62 (page 36 of the pdf) in George Kempf's book: http://bib.tiera.ru/b/72466.2012-12-11

0 Answers 0