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Results tagged with ac.commutative-algebra
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user 58072
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
0
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Depth formula in CM-ring involving canonical module
In this article by Iyama and Wemyss there is the following formula:
Let $R$ be a Cohen-Macaulay ring with canonical module $\omega$, let $X$ be a finitely generated $R$-module. Then
$$\mbox{depth}(X)= …
- 73
1
vote
computing the nonnegative part of a $\mathbb{Z}$-graded ring
Since you are interested in the case of a toric ring, I will restrict to this case. In particular I will assume that $R$ is a normal subalgebra of $k[X_1^{\pm 1},\ldots,X_n^{\pm1}]=k[\mathbb Z^n]$. Th …
- 73
2
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global sections of structure sheaf on the toric Calabi-Yau
Probably this answer comes too late, but anyway:
What you want to do can be divided into two tasks:
Find a Hilbert basis of (the dual of) your cone.
Compute the toric ideal for the Hilbert basis.
…
- 73