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Hodge numbers of O’Grady 6 via Ngô strings

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Abstract

We give an alternative computation of the Betti and Hodge numbers for manifolds of OG6 type using the method of Ngô Strings introduced by de Cataldo, Rapagnetta, and Saccà.

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Acknowledgements

I would first like to greatly thank my advisor Mark de Cataldo for the many enlightening discussions and his continued support throughout the writing of this paper. I would also like to thank Mads Bach Villadsen for the many useful discussions and for reading several preliminary drafts, Lisa Marquand for the many useful discussions and her support, and Yoonjoo Kim for a useful discussion on the LLV decomposition. I would like to give a special thanks to Antonio Rapagnetta for an extremely useful discussion on monodromy (in particular, see Lemma 3.1.3 and Section 3.2). Finally, I thank the reviewer for their comments and suggestions improving this manuscript.

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Wu, B. Hodge numbers of O’Grady 6 via Ngô strings. manuscripta math. 174, 1015–1042 (2024). https://doi.org/10.1007/s00229-024-01540-8

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