Abstract
We provide new results on the vanishing of local cohomology modules supported at ideals of minors of matrices over arbitrary commutative Noetherian rings. In the process, we compute the local cohomology of rings of polynomials with integer coefficients - supported at generic determinantal ideals - and also obtain results on ℱ-modules and script D-modules that are likely to be of independent interest.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2545-2578 |
| Number of pages | 34 |
| Journal | Journal of the European Mathematical Society |
| Volume | 18 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© European Mathematical Society 2016.
Keywords
- Determinantal ideals
- Local cohomology
- Script D-modules
- Vanishing theorems
- ℱ-modules