Analytic adjoint ideal sheaves associated to plurisubharmonic functions. (English) Zbl 1392.32003
Summary: In this article, we will present that the analytic adjoint ideal sheaves associated to plurisubharmonic functions are not coherent, in general.
For Part II, see [the second author, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 183-193 (2021; Zbl 1471.32009)].
For Part II, see [the second author, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 183-193 (2021; Zbl 1471.32009)].
MSC:
| 32C25 | Analytic subsets and submanifolds |
| 32C35 | Analytic sheaves and cohomology groups |
| 32U05 | Plurisubharmonic functions and generalizations |
