Timeline for Finite self-maps exist on rigid CY3s
Current License: CC BY-SA 4.0
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| May 1, 2021 at 6:43 | answer | added | Basics | timeline score: 2 | |
| Apr 30, 2021 at 13:00 | comment | added | abx | @nrlof: no. They have "self-rational maps", but not everywhere defined. Indeed any finite map between smooth projective varieties with trivial canonical bundle must be étale. | |
| Apr 30, 2021 at 6:53 | comment | added | nrlof | @AriyanJavanpeykar Could you explain the argument in more detail? Don't some K3s have non-trivial self-isogenies? | |
| Apr 30, 2021 at 6:06 | comment | added | Ariyan Javanpeykar | Welcome @smprcy. Is a CY threefold simply connected with trivial canonical bundle with your definitions? If so, you can argue as follows: your finite map will be etale (by Riemann-Hurwitz) and thus trivial by simple-connectedness. | |
| Apr 30, 2021 at 6:02 | comment | added | naf | The article "Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension" Publ. Res. Inst. Math. Sci. 38 (2002), no. 1, 33–92 by Y. Fujimoto probably contains the answer to your question. | |
| Apr 29, 2021 at 21:57 | history | edited | YCor |
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| Apr 29, 2021 at 21:40 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Apr 29, 2021 at 19:51 | review | First posts | |||
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| Apr 29, 2021 at 19:49 | history | asked | smprcy | CC BY-SA 4.0 |