Describing non-reduced schemes with differential operators
- Yairon Cid-Ruiz (Ghent University, Ghent, Belgium)
We describe recent developments in commutative algebra that lead to a characterization of ideal membership in terms of differential conditions. These results generalize the construction of Noetherian operators for primary ideals in the analytic theory of Ehrenpreis-Palamodov. The main concept we introduce is that of differential primary decompositions.