On the degeneration of the Frölicher spectral sequence and small deformations
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AbstractWe study the behavior of the degeneration at the second step of the Frölicher spectral sequence of a 𝒞∞ family of compact complex manifolds. Using techniques from deformation theory and adapting them to pseudo-differential operators we prove a result à la Kodaira-Spencer for the dimension of the second step of the Frölicher spectral sequence and we prove that, under a certain hypothesis, the degeneration at the second step is an open property under small deformations of the complex structure.
2021 ◽
Vol 0
(0)
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2016 ◽
Vol 27
(14)
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pp. 1650111
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2019 ◽
Vol 2019
(753)
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pp. 23-56
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1999 ◽
pp. 77-102
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Keyword(s):