The fitting-ideals tag has no wiki summary.

**0**

votes

**0**answers

38 views

### Fitting ideals and a Grassmannian construction

Let $L$ be a locally free and finitely presented sheaf over a Noetherian scheme $X$ and
$$ E\overset{\varphi}\to F \to L \to 0$$
a free presentation of $L$, where $E$ and $F$ have finite ranks $n$ ...

**0**

votes

**0**answers

80 views

### Invariants of a module, 'readily' computable from the presentation matrix

Suppose we know the presentation matrix of a module. (For simplicity: the module is over a local Noetherian ring, the ring is over a field.) For which invariants of the module some explicit(!) ...

**2**

votes

**0**answers

88 views

### When two determinantal ideals together generate a power of the maximal ideal?

(A somewhat technical question, but maybe it is well known.)
Consider matrices over the ring $k[[x_1,\dots,x_n]]$, whose entries vanish at the origin (i.e. belong to the maximal ideal ...

**1**

vote

**1**answer

246 views

### When fitting ideals determine the module?

Let $M$ be a module over a local ring $(R,m)$, everything is finitely generated/presented. The fitting ideals, $I_j(M)$ carry a lot of information about the module. When do they actually determine the ...