?? confusion about … ?? idea of toric variety, for example … “closure of single orbit” viewpoint … ?? the single orbit as “generic” (?? …) in some sense … ?? but then how could it have degenerate orbits in its closure …. ??? …. ?? or wait, _is_ that typical ?? …. ??? ….. flag geometry ideas lurking in background here … ??? ….

?? apply “fan as tangent space of 1” idea to kaleidoscope as fan ??? …. ????? …..

?? (simple-ish …) algebraic group itself as … having its coordinate algebra become multihomogeneous wrt weight (??? ….) lattice, yielding multihomogeneous coordinate alg of generic flag pair space ….. ???? …. ?? lots of games to play here … ?? ….

?? idea of clash between “alg geom as kind of categorical logic” and something like “derived / htpy-theoretic alg geom as fancier kind of logic …” as … ??? analog of prior clash in “geometric” case …. “locale / topos as kind of logical theory,  vs htpy theory of such (??? …) as fancier kind of logic … confusingly related …” … ??? …. ???? ….

small sub, big quotient, big sub, small quotient … ??? to try to help organize “projective space of v” theory …. ??? …. kernel …. ???  …