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arXiv · 1907.10690

Formality conjecture for minimal surfaces of Kodaira dimension 0

Ruggero Bandiera·Marco Manetti·Francesco Meazzini
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Abstract

Let F be a polystable sheaf on a smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) of derived endomorphisms of F is formal. The proof is based on the study of equivariant $L_{\infty}$ minimal models of DG-Lie algebras equipped with a cyclic structure of degree 2 which is non-degenerate in cohomology, and does not rely (even for K3 surfaces) on previous results on the same subject.

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Ruggero Bandiera, Marco Manetti, Francesco Meazzini. 2019-07-24. Formality conjecture for minimal surfaces of Kodaira dimension 0. https://doi.org/10.1112/s0010437x20007605

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