Timeline for Holomorphic maps from a Riemann surface of infinite genus
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 20, 2022 at 9:19 | history | edited | Sam Nead | CC BY-SA 4.0 |
added 163 characters in body
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| Nov 20, 2022 at 8:11 | comment | added | Moishe Kohan | I guess I did not make myself very clear (my bad): What you proved is that your surface does not admit a locally isometric map to any compact hyperbolic surface. (With a bit more work, one also sees that this surface also does not admit any $\pi_1$-injective holomorphic map to any compact hyperbolic Riemann surface.) But this does not answer the OP which is about nonconstant holomorphic maps and these are not even local diffeomorphisms. | |
| Nov 19, 2022 at 20:18 | comment | added | Moishe Kohan | A nonconstant holomorphic map need not be a covering. | |
| Nov 19, 2022 at 20:06 | history | answered | Sam Nead | CC BY-SA 4.0 |