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Hitchin fibrations, abelian surfaces, and the P=W conjecture

, , and . (2019)cite arxiv:1909.11885Comment: 47 pages. Comments are welcome!.

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Hitchin fibrations, abelian surfaces, and the P=W conjecture, , and . (2019)cite arxiv:1909.11885Comment: 47 pages. Comments are welcome!.A support theorem for the Hitchin fibration: the case of $GL_n$ and $K_C$, , and . (2019)cite arxiv:1906.09582Comment: 28 pages.On the P=W conjecture for $SL_n$, , and . (2020)cite arxiv:2002.03336Comment: 18 Pages.The de Rham stack and the variety of very good splittings of a curve, , and . (2022)cite arxiv:2211.09630.Compactification of Dolbeault moduli spaces. (2018)cite arxiv:1812.07086Comment: 22 pages. Comments are welcome. I thank the anonymous referees for their suggestions, especially in connection with their constructive criticism of the original proof of Theorem 3.1.1.(1,2) (projectivity of the compactification), which contained a gap, now fixed. To appear in IMRN.