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Timeline for complementary bundle for a divisor

Current License: CC BY-SA 3.0

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Jun 26, 2014 at 13:05 review Close votes
Jun 30, 2014 at 23:17
Jun 26, 2014 at 12:27 comment added Edwin Beggs More thought - the direct sum by preference, if not then any related construction would be welcome.
Jun 26, 2014 at 12:21 comment added Edwin Beggs Honestly, I do not know which. Whichever works nicely I guess. I had thought of the first, but anything nice to say about the second would be welcome. Modules with connection in noncommutative geometry form an abelian category, so either approach could be used in noncommutative geometry.
Jun 26, 2014 at 11:37 comment added Jason Starr I do not understand the question. Are you trying to split the fundamental exact sequence $$\mathcal{I}/\mathcal{I}^2 \to \Omega_X|_D \to \Omega_D \to 0,$$ that is associated to a divisor $D$ inside a complex manifold $X$, with ideal sheaf $\mathcal{I}$? Or are you trying to decompose $\mathcal{I}/\mathcal{I}^2$ as a direct sum of holomorphic invertible sheaves?
Jun 26, 2014 at 10:43 history asked Edwin Beggs CC BY-SA 3.0