Friday, October 21, 2011

?? "toric variety as built out of toruses" .... ?? combine with "toric quasicoherent sheaf over torus as set action of "fundamental lattice" of torus ... ??? to try to get some nice way of understanding toric quasicoherent sheaf over arbitrary toric variety ... but hmm, this really seems like a classic "problematicness of quasicoherent artin-wraith glueing" situation .... ???? .....

?? hmm, bit about maybe using "infinite-order infinitesimal neighborhood of closed subvariety x" as replacement for x itself here, to try to get things to work ?? .... ??? _does_ anything like this give additional grothendieck topologies on one-object sym mon cat that we haven't noticed yet ??? ....

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