Lemma 33.7.5 (0386)—The Stacks project

Loading [MathJax]/extensions/tex2jax.js

Table of contents
Part 2: Schemes
Chapter 33: Varieties
Section 33.7: Geometrically connected schemes
Lemma 33.7.5 (cite)

previous lemma
next lemma

numberstags

history
statistics
2 tags refer to this tag

Lemma 33.7.5. Let $k$ be a field. Let $A$ be a $k$-algebra. Then $X = \mathop{\mathrm{Spec}}(A)$ is geometrically connected over $k$ if and only if $A$ is geometrically connected over $k$ (see Algebra, Definition 10.48.3).

Proof. Immediate from the definitions. $\square$

Comments (0)

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$ ). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Comments (0)

Post a comment