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- W4324351604 abstract "As an application of the residue functions corresponding to the lc-measures developed by the authors, the proof of the injectivity theorem on compact Kähler manifolds for plt pairs by Matsumura is improved in this article to allow multiplier ideal sheaves of plurisubharmonic functions with neat analytic singularities in the coefficients of the relevant cohomology groups. With the use of a refined version of analytic adjoint ideal sheaves, a plan towards a solution to the generalised version of Fujino’s conjecture (i.e. an injectivity theorem on compact Kähler manifolds for lc pairs with multiplier ideal sheaves) is laid down and, in addition to the result for plt pairs, a proof for lc pairs in dimension <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, which is also an improvement of Matsumura’s result, is given." @default.
- W4324351604 created "2023-03-16" @default.
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- W4324351604 date "2023-09-14" @default.
- W4324351604 modified "2023-10-14" @default.
- W4324351604 title "On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves" @default.
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- W4324351604 doi "https://doi.org/10.1090/tran/8935" @default.
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