In this note, we establish the strong openness and stability property of multiplier submodule sheaves associated to singular Nakano semi-positive metrics on holomorphic vector bundles, which generalizes the same properties for multiplier ideal sheaves associated to pseudo-effective line bundles.
Dans cette note, nous établissons la conjecture forte d’ouverture et la stabilité des faisceaux de sous-modules multiplicateurs associés aux métriques semi-positives de Nakano singulières sur les fibrés vectoriels holomorphes, ce qui généralise les mêmes propriétés pour les faisceaux d’idéaux multiplicateurs associés aux fibrés en droites pseudo-effectifs.
Revised:
Accepted:
Published online:
Zhuo Liu 1, 2; Hui Yang 3, 2; Xiangyu Zhou 4
@article{CRMATH_2022__360_G11_1205_0, author = {Zhuo Liu and Hui Yang and Xiangyu Zhou}, title = {New {Properties} of {Multiplier} {Submodule} {Sheaves}}, journal = {Comptes Rendus. Math\'ematique}, pages = {1205--1212}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.334}, language = {en}, }
Zhuo Liu; Hui Yang; Xiangyu Zhou. New Properties of Multiplier Submodule Sheaves. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1205-1212. doi : 10.5802/crmath.334. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.334/
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