1
$\begingroup$

I'm studying Quot schemes, that I denote with $Quot_{N,X,P}$, with $N \in \mathbb{Z}$, $X \subset \mathbb{P}^d$ and $P \in \mathbb{Q}[t]$. So, I'm looking for explicit examples of Quot schemes. Could you give me as much as you can explicit examples of Quot schemes? On the net I found several papers about the construction of Quot schemes, but I can't find explicit examples in order to have a true understanding of these objects. For instance, how can I think of the Grassmannian as $Quot_{N,X,P}$ scheme? Are there different ways to do this? I'm sorry if this question isn't specific enough. Thanks in advance.

$\endgroup$
2
$\begingroup$

You'll find the answer to some of your questions in N. Nitsure, Construction of Hilbert and Quot Schemes, arXiv:math/0504590.

$\endgroup$
  • 1
    $\begingroup$ Right, that's what a Google search for "explicit examples of Quot schemes" provides (and more). $\endgroup$ – Włodzimierz Holsztyński Nov 16 '13 at 17:14

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.