?? non-toric analog of ... ??? looking at both tag-geometric morphism and topos-geometric morphism as special case of "toric geometric correspondence" .... ??? ....
?? "toric geometric correspondence" as maybe "hecke-flavored" ?? ... ??? ....
?? toric geometric correspondence corresponding (?? ...) to essential topos-geometric morphism between toric varieties as .... ??? ... ?? converse (?? ... ??? .... ??? sesqui- issues here ??? ...) of toric geometric correspondence corresponding (?? ...) to corresponding (??? ...) tag-geometric morphism ??? .... ??? .....
?? "graph of morphism" ... ??? construed as geometric correspondence .... ??? .....
?? test some of this (?? ...) on co- / diagonal example ... ??? .....
?? definitely having some "adjoint vs converse" confusion here .... ??? ......
?? skyscraper sheaf over map graph ... ?? ....
?? "serre duality" .... ????? .....
?? homomorphism of nice comm monoids .... giving essential (topos-)geometric morphism .... ??? with its extra left adjoint being algebraic manifestation of tag-geometric morphism .... ???? ..... hmmmm .... ??? relationship to ideas about "generalized (or even not so generalized ... ?? ...) day convolution" ?? .... ???? ..... ???? ..... co- / diagonal ... ??? ... ..... ???? special case of localization homomorphism ????? ...... ????? ......
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