Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
0 answers
324 views

On construction of Hilbert and Quot schemes

I have some questions regarding the strategy of the proof of the existence of Hilbert and Quot schemes (I will focus on the latter since it's more general), as in the book Fundamental Algebraic ...
Lao-tzu's user avatar
  • 1,906
7 votes
0 answers
188 views

Open subfunctor of Quot Functor induced by open immersion

Let $f: X \rightarrow S$ be a morphism of noetherian schemes and $\mathfrak{Q}uot_{\mathcal{E}/X/S}$ be the functor parametrizing families of quotients of $\mathcal{E}$ in the category of locally ...
lsdrs's user avatar
  • 171