Timeline for Isomorphic Jacobians for different choices of basis of $1$-forms
Current License: CC BY-SA 4.0
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Aug 23, 2020 at 16:07 | comment | added | abx | The standard definition of the Jacobian is $\Omega (X)^*/H_1(X,\mathbb{Z})$, where $H_1(X,\mathbb{Z})$ embeds into $\Omega (X)^*$ by $\gamma \mapsto \int_{\gamma }$. This is of course independent of any choice, and choosing bases leads to the formulation you mention. For this kind of basic question please consider using MSE. | |
Aug 23, 2020 at 15:11 | history | edited | user267839 | CC BY-SA 4.0 |
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Aug 23, 2020 at 5:26 | review | Close votes | |||
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Aug 23, 2020 at 4:27 | review | First posts | |||
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Aug 23, 2020 at 4:26 | history | asked | user267839 | CC BY-SA 4.0 |