Timeline for The combinatorics of the Nullstellensatz for the variety of nilpotent matrices
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Aug 22, 2023 at 12:26 | vote | accept | Samuel Johnston | ||
Jun 25, 2023 at 6:29 | answer | added | Samuel Johnston | timeline score: 5 | |
Jun 24, 2023 at 17:51 | comment | added | darij grinberg | I mean other coefficients of the characteristic polynomial. | |
Jun 24, 2023 at 17:31 | comment | added | LSpice | @darijgrinberg, re, what is a higher trace? | |
Jun 24, 2023 at 15:15 | comment | added | darij grinberg | The simplest part of question 1 is finding out which power of the trace of a nilpotent matrix (over an arbitrary commutative ring) is guaranteed to be $0$. See Doron Zeilberger, Gert Almkvist's generalization of a mistake of Bourbaki for the answer to this. Replacing the trace by higher traces should lead to similar answers. See also Exercise 2 in Chapter II of Henri Lombardi, Claude Quitté, Commutative algebra: Constructive methods. Finite projective modules. | |
Jun 24, 2023 at 14:28 | comment | added | LSpice | Purely orthographic tip for a beginner in algebraic geometry: the capitalization in "Nullstellensatz" is part of the word, so it is thus, not "nullstellensatz", even mid-sentence. I have edited accordingly. | |
Jun 24, 2023 at 14:27 | history | edited | LSpice | CC BY-SA 4.0 |
nullstellensatz -> Nullstellensatz
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Jun 24, 2023 at 12:48 | history | asked | Samuel Johnston | CC BY-SA 4.0 |