Thursday, April 14, 2011

??so let's try to describe some nice simple example of "non-formalness" ... ???_have_ we ever really tried this before??? ... hmmm... (??also something about "non-conicalness" ??? ... ??don't we have familiar examples where "associated graded is non-isomorphic to original filtered ..." ??? ... ???or something??? ... ...) ...

??so we want some really simple example of "ext^2" (or something...) being non-trivial ... ???...

???something about polynomials in 2 variables x,y ... or something ?? ... ???....

[a|ax=ay=0] ... free resolution ...

??trying to make this into non-trivial 2-place chain complex .... ????....

???what about "minimality" here ??? .... ...or something ...

place 0 ... < a > ...

place 1 ... < b,c,e >

place 2 ... < f >

d(b)=ax

d(c)=ay

d(e)=0

d(f)=by-cx+e ??

h^0 = < a >/< ax,ay >

h^1 = < by-cx,e >/< by-cx-e >

h^2 = < > ???

???not quite making sense to me yet ??? ....

???what about something about "yoneda _de_composition" ??? ... ???...

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