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- W2983125462 abstract "Let X be a minimal surface of general type with positive geometric genus (b+>1) and let K2 be the square of its canonical class. Building on work of Khodorovskiy and Rana, we prove that if X develops a Wahl singularity of length l in a Q-Gorenstein degeneration, then l≤4K2+7. This improves on the current best-known upper bound due to Lee (l≤400(K2)4). Our bound follows from a stronger theorem constraining symplectic embeddings of certain rational homology balls in surfaces of general type. In particular, we show that if the rational homology ball Bp,1 embeds symplectically in a quintic surface, then p≤12, partially answering the symplectic version of a question of Kronheimer." @default.
- W2983125462 created "2019-11-22" @default.
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- W2983125462 date "2020-01-01" @default.
- W2983125462 modified "2023-10-17" @default.
- W2983125462 title "Bounds on Wahl singularities from symplectic topology" @default.
- W2983125462 doi "https://doi.org/10.14231/ag-2020-003" @default.
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