Timeline for Equivalent definitions of rigid local systems
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 3, 2018 at 18:21 | vote | accept | user2520938 | ||
| Apr 18, 2018 at 9:42 | answer | added | Will Sawin | timeline score: 2 | |
| Apr 18, 2018 at 8:38 | comment | added | user2520938 | @R.vanDobbendeBruyn It's still true that with the second definition there are no rigid rank $1$ local systems right? Because the quotient map is an isomorphism | |
| Apr 18, 2018 at 6:43 | comment | added | user2520938 | @R.vanDobbendeBruyn The first definition is the one from Katz's book. People ofter state the second definition, or the equivalent one you mentioned, and then cite Katz's book, indicating to me that results about the first definition should carry over to the second? | |
| Apr 18, 2018 at 1:43 | comment | added | R. van Dobben de Bruyn | The correct definition is that $L$ corresponds to an isolated point of $M(\pi_1(X),\operatorname{GL}_n)$, which is equivalent to your second conditions because GIT quotients are submersive. Where did you see the first definition? | |
| Apr 17, 2018 at 14:56 | history | edited | user2520938 | CC BY-SA 3.0 |
added 2 characters in body
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| Apr 17, 2018 at 14:47 | history | asked | user2520938 | CC BY-SA 3.0 |