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- W3108758085 abstract "We introduce in a reduced complex space, a ``new coherent sub-sheaf'' of the sheaf $omega_{X}^{bullet}$ which has the ``universal pull-back property'' for any holomorphic map, and which is in general bigger than the usual sheaf of holomorphic differential forms $Omega_{X}^{bullet}/torsion$. We show that the meromorphic differential forms which are sections of this sheaf satisfy integral dependence equations over the symmetric algebra of the sheaf $Omega_{X}^{bullet}/torsion$. This sheaf $alpha_{X}^{bullet}$ is also closely related to the normalized Nash transform.We also show that these $q-$meromorphic differential forms are locally square-integrable on {bf any} $q-$dimensional cycle in $X$ and that the corresponding functions obtained by integration on an analytic family of $q-$cycles are locally bounded and locally continuous on the complement of closed analytic subset." @default.
- W3108758085 created "2020-12-07" @default.
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- W3108758085 date "2018-01-01" @default.
- W3108758085 modified "2023-09-26" @default.
- W3108758085 title "The sheaf α • X" @default.
- W3108758085 hasPublicationYear "2018" @default.
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