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arXiv · 1907.04742

Degeneration of spectral sequences and complex Lagrangian submanifolds

Borislav Mladenov
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Abstract

There is a local-to-global $\mathrm{Ext}$ spectral sequence $\mathrm{E}_2^{p,q} = \mathrm{H}^p(\mathrm{L}, \Omega^q_\mathrm{L}) \Rightarrow \mathrm{Ext}^{p+q}(i_*\mathscr{O}_\mathrm{L}, i_*\mathscr{O}_{\mathrm{L}})$ for a smooth Lagrangian subvariety in a hyperk\"ahler variety. We prove its degeneration on $\mathrm{E}_{2}$, and various generalisations thereof.

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Borislav Mladenov. 2019-07-10. Degeneration of spectral sequences and complex Lagrangian submanifolds. https://arxiv.org/abs/1907.04742

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