TL;DR
This paper investigates the relationship between the depth of isolated log canonical centers and the cohomology of certain divisors, extending results to normal isolated Du Bois singularities.
Contribution
It establishes a link between the depth of isolated log canonical centers and cohomology of discrepancy divisors, also applying to Du Bois singularities.
Findings
Depth of isolated log canonical centers is determined by cohomology of discrepancy divisors.
Similar results hold for normal isolated Du Bois singularities.
Provides new insights into the structure of singularities in algebraic geometry.
Abstract
In this paper, we show that the depth of an isolated log canonical center is determined by the cohomology of the -1 discrepancy diviors over it. A similar result also holds for normal isolated Du Bois singularities.
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