Timeline for Intersection form in Algebraic Geometry/Topology
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2018 at 7:47 | comment | added | Nick L | One may check that the map $c$ maps $D$ to $c_{1}(\mathcal{O}(D))$. If D is effective then there will be a section $s \in H^{0}(\mathcal{O}(D))$ whose zero-set is $D$. Then by definition of the first Chern class, this will be the Poincare dual of $D$. Now we can extend by linearity. | |
| Sep 29, 2018 at 0:12 | comment | added | Vincenzo Zaccaro | The main issue is just proving that, for a prime divisor, the element $c(D)$ is the Poincarè dual of $D$. | |
| Sep 28, 2018 at 8:58 | history | edited | Nick L | CC BY-SA 4.0 |
added 6 characters in body
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| Sep 28, 2018 at 8:46 | history | answered | Nick L | CC BY-SA 4.0 |