Timeline for Can view the connected component of the Picard scheme $\text{Pic}^0(X)$ as a "kernel" of the first Chern class?
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jul 22, 2015 at 7:41 | review | Close votes | |||
| Jul 23, 2015 at 19:21 | |||||
| Jul 22, 2015 at 6:42 | comment | added | Ben Webster♦ | This is explained on Wikipedia: en.wikipedia.org/wiki/Néron–Severi_group | |
| Jul 22, 2015 at 4:14 | answer | added | Yusuf Mustopa | timeline score: 2 | |
| Jul 22, 2015 at 3:46 | comment | added | Michael Albanese | Not sure how helpful this is (I'm not an algebraic geometer), but I thought I would mention it. In Huybrechts' Complex Geometry: An Introduction, the Jacobian of a complex manifold $X$, denoted $\operatorname{Pic}^0(X)$, is defined as the kernel of the map $c_1 : \operatorname{Pic}(X) \to H^2(X, \mathbb{Z})$. Using the exponential sequence, one can show that $\operatorname{Pic}^0(X) \cong H^1(X, \mathcal{O})/H^1(X, \mathbb{Z})$. | |
| Jul 22, 2015 at 3:02 | history | edited | user76306 | CC BY-SA 3.0 |
edited body; edited title
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| Jul 22, 2015 at 2:26 | review | First posts | |||
| Jul 22, 2015 at 4:10 | |||||
| Jul 22, 2015 at 2:23 | history | asked | user76306 | CC BY-SA 3.0 |