Skip to main content

All Questions

Filter by
Sorted by
Tagged with
7 votes
1 answer
607 views

Converses to Cartan's Theorem B

Here is a phrasing of some Cartan Theorem B statements: Consider the following conditions: $X$ is a {Stein manifold, affine scheme, coherent analytic subvariety of $\mathbb{R}^n$, contractible ...
Tim's user avatar
  • 1,109
2 votes
0 answers
144 views

Local freeness of $\pi_*F(r)$ from flatness of $F$

In 'Fundamental Algebraic Geometry' by Fantechi there is a lemma in section 5.3.2, page 119: LEMMA 5.5 Let $S$ be a noetherian scheme and let $F$ be a coherent sheaf on $\mathbb{P}^n_S$. Suppose there ...
user267839's user avatar
  • 6,028