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- W4287777162 abstract "Shortly after the introduction of Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a compact Kahler surface is determined by its Kodaira dimension. In this paper, we show that LeBrun's Theorem is no longer true for non-Kahler surfaces. In particular, we show that the Yamabe invariants of Inoue surfaces and their blowups are all zero. We also take this opportunity to record a proof that the Yamabe invariants of Kodaira surfaces and their blowups are all zero, as previously indicated by LeBrun." @default.
- W4287777162 created "2022-07-26" @default.
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- W4287777162 date "2020-05-19" @default.
- W4287777162 modified "2023-10-17" @default.
- W4287777162 title "The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups" @default.
- W4287777162 doi "https://doi.org/10.48550/arxiv.2005.09494" @default.
- W4287777162 hasPublicationYear "2020" @default.
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