Codimension 2
From Mathematics
(→Cech cohomology and the Hodge conjecture in codim 1) |
(→Cech cohomology and the Hodge conjecture in codim 1) |
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| Line 102: | Line 102: | ||
* The exponential sequence | * The exponential sequence | ||
<math> 0 \rightarrow 2\pi i \mathbb{Z}_X \rightarrow \mathcal{O}_X \rightarrow \mathcal{O}_X^* \rightarrow 1</math> | <math> 0 \rightarrow 2\pi i \mathbb{Z}_X \rightarrow \mathcal{O}_X \rightarrow \mathcal{O}_X^* \rightarrow 1</math> | ||
| − | * Proof of the Hodge conjecture for divisors using the exponential sequence | + | * Proof of the Hodge conjecture for divisors using the long exact sequence associated with the exponential sequence |
* Need also Lemma 2.1<ref name="Blo74"/> on a non-Abelian version of the long exact sequence. | * Need also Lemma 2.1<ref name="Blo74"/> on a non-Abelian version of the long exact sequence. | ||
