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S Dec 4, 2017 at 8:17 history suggested jeq CC BY-SA 3.0
Copied images to imgur.com, as they were not being displayed because of broken links. Added links to original image sources via Wayback Machine.
Dec 4, 2017 at 1:18 review Suggested edits
S Dec 4, 2017 at 8:17
Sep 24, 2010 at 10:07 history edited Bill Thurston CC BY-SA 2.5
Inserted mention of Dave Speyer's comment
Sep 17, 2010 at 6:10 comment added Bill Thurston Thanks! I just noticed your comment. The question had continued to nag me, and I've been waiting for a comprehensible answer to fall out of the sky. Thanks, sky! I'm wondering also whether the determinant picture will help clarify the geometry of ratonal functions.
Sep 14, 2010 at 21:21 comment added David E Speyer "I believe this can be any homogeneous polynomial P( x,y,z) of degree n in 3 variables subject to the condition P(1,0,0)=(the determinant of the identity) = 1." Yes, this is true. If the curve $P=0$ is smooth, then the space of such representations is $J \setminus \Theta$, where $J$ is the Jacobian of the curve and $\Theta$ the $\Theta$ divisor. See Vinnikov, "Complete description of determinantal representations of smooth irreducible curves", Linear Algebra Appl. 125 (1989), 103--140
Sep 14, 2010 at 20:47 comment added darij grinberg +1 for abstract art.
Sep 14, 2010 at 20:34 history edited Bill Thurston CC BY-SA 2.5
typo
Sep 13, 2010 at 0:12 history edited Bill Thurston CC BY-SA 2.5
added 454 characters in body
Sep 11, 2010 at 23:19 history edited Bill Thurston CC BY-SA 2.5
corrected a 2-variable->3-variable, minor changes.
Sep 11, 2010 at 18:36 comment added Bill Thurston Thanks, I edited to eliminate this term -- I was confused about the terminology.
Sep 11, 2010 at 18:35 history edited Bill Thurston CC BY-SA 2.5
eliminated confused usage of "singualr values".; added 5 characters in body
Sep 11, 2010 at 18:17 comment added darij grinberg "singular values = roots of the characteristic polynomial". I DON'T think this is the standard meaning of the word "singular values".
Sep 11, 2010 at 18:05 vote accept Edward
Sep 11, 2010 at 17:56 history answered Bill Thurston CC BY-SA 2.5