Timeline for Semiring of algebraic vector bundles on projective space
Current License: CC BY-SA 2.5
8 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 15, 2013 at 23:17 | vote | accept | Martin Brandenburg | ||
| Apr 6, 2010 at 7:33 | comment | added | Martin Brandenburg | thanks. I've edited the description of the $K$ ring in my question. | |
| Apr 6, 2010 at 7:32 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Apr 6, 2010 at 7:05 | comment | added | Torsten Ekedahl | Note that just adding additive inverses to the semiring does <em>not</em> give the usual Grothendieck group. In fact the semiring is, by the Krull-Remak-Schmidt theorem, the free abeliam semigroup on the (isomorphism classes of) indecomposable vector bundles. Hence its group completion is just the free abelian group on the same vector bundles. Hence it is, as Angelo pointed out for the semiring, truly huge. Except in the $1$-dimensional case when the only indecomposable vector bundles are the line bundles. | |
| Apr 6, 2010 at 3:33 | answer | added | Angelo | timeline score: 10 | |
| Apr 6, 2010 at 0:04 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Apr 5, 2010 at 23:58 | history | asked | Martin Brandenburg | CC BY-SA 2.5 |