?? projective plane with point blown up as toric ??????? ......
?? vague memories of stuff about ... terry bisson ... categorified fourier duality ... smc vs cartesian smc .... ??? .... ?????? ..... ?? resonating now with "toric stack" .... ???????
2d affine toric varieties arising as cones of toric projective embeddings .... ???? .... ??relatively few because of shortage of 1d projective toric varieties?? .... ???? ....
?? hmmm, but lots of other stuff to play around with here ..... ?? for example graded commutative monoid
??hmm, well perhaps _any_ affine toric variety can be seen as "cone of toric multi-projective embedding of toric stack" ... ??? in multiple ways ??? ..... ??? .... just choosing homomorphisms to lattices .... ??? .....
?? but hmm, any interesting interaction between "1d toric orbifold" (???such as now you mention it traditional "moduli stack of elliptic curves" ... ??? ....) and .... ?? more vanilla stuff about "curves" ??? .... ????? .....
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