Timeline for Are the global sections of a vector bundle a projective module?
Current License: CC BY-SA 3.0
11 events
when toggle format | what | by | license | comment | |
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Nov 21, 2012 at 9:06 | vote | accept | Lennart Meier | ||
Nov 20, 2012 at 15:46 | answer | added | Will Sawin | timeline score: 1 | |
Nov 20, 2012 at 15:34 | answer | added | Mahdi Majidi-Zolbanin | timeline score: 1 | |
Nov 20, 2012 at 15:08 | history | edited | Lennart Meier | CC BY-SA 3.0 |
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Nov 20, 2012 at 14:05 | comment | added | Jason Starr | @Lennart: With your definition, my morphism $X\hookrightarrow Y$ below is "locally free of finite rank". Yet I give a locally free $\mathcal{O}_X$-module $\widetilde{M}|_X$ such that $\Gamma(X,\widetilde{M}|_X)$ is not a locally free module over $\Gamma(X,\mathcal{O}_X)$. | |
Nov 20, 2012 at 13:49 | comment | added | Lennart Meier | I would define a map $f: X \to Y$ to be locally free of finite rank if for every $x\in X$, the local ring $\mathcal{O}_{X,x}$ is free of finite rank over $\mathcal{O}_{Y,f(x)}$. | |
Nov 20, 2012 at 13:43 | history | edited | Lennart Meier | CC BY-SA 3.0 |
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Nov 20, 2012 at 13:11 | comment | added | Qfwfq | What do you mean by "the natural map $X\to\mathrm{spec}\Gamma(\mathcal{O}_X)$ is locally free of finite rank"? | |
Nov 20, 2012 at 13:06 | answer | added | Jason Starr | timeline score: 10 | |
Nov 20, 2012 at 13:04 | comment | added | Fred Rohrer | Dear @Lennart, your statement about affine schemes contradicts an example given in EGA I.1.4.4.1 (1970 edition). | |
Nov 20, 2012 at 12:45 | history | asked | Lennart Meier | CC BY-SA 3.0 |