Timeline for trivialities on log-structures
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 25, 2013 at 18:12 | comment | added | Mark Gross | ...sorry, nothing seems to be working correctly. One more try: $p_*M_Y=F_1\oplus_{O_X^*} F_2$, where F_1 and F_2 are funny log structures whose ghost sheaf ($F_i/O_X^*$) is a copy of ${\mathbb N}$ on one of the two branches, but extended by zero over the origin. I'm still not sure if this is what you are looking for. I think the particular push-forward log structure you described in your original question is not a particularly well-behaved one, e.g., it is not fine. | |
| Jun 24, 2013 at 8:02 | comment | added | ketth | @Mark Gross by direct sum I mean $p_{*}M_Y=p_{*}M_{\tilde{x}}\oplus p_{*}M_{\tilde{y}}$ where the factor $M_{\tilde{x}}$ (resp. M_{\tilde{y}}) takes care of the log-structure given by $t,\tilde{x}$ (resp. $t,\tilde{y}$). I would like to know if this direct sum exists as $p_{*}\mathcal{O}_{X}^{*}$-log-structure and if somehow the log-structure of each piece $M_{\tilde{x}}$ and $M_{\tilde{y}}$ is trivial. | |
| Jun 24, 2013 at 7:54 | vote | accept | ketth | ||
| Jun 22, 2013 at 15:10 | history | answered | Mark Gross | CC BY-SA 3.0 |