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Results tagged with algebraic-combinatorics
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user 2083
8
votes
What Stanley-Reisner rings are $\mathbb{Q}$-Gorenstein?
Perhaps there is hope, despite my original comment. Hartshorne in this paper developed a theory of "generalized divisors" that works on any scheme that is generically Gorenstein and $(S_2)$.
Going q …
- 30.6k
5
votes
Accepted
Hilbert series of graded Cohen-Macaulay domains, 28 years later?
Perhaps this is too late for your seminar, but there has been a huge literature on these problems and related ones. The key words to search are: "h-vector of...". For example, here is a paper that dea …
- 30.6k
43
votes
Accepted
Regular, Gorenstein and Cohen-Macaulay
I will argue that the examples you gave are "simplest" in some strong sense, so although they look unnatural, if Martians study commutative algebra they will have to come up with them at some point.
…
- 30.6k