Browsing by Author "Vilches, Nicolas"

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    On wormholes in the moduli space of surfaces
    (2022) Urzua, Giancarlo; Vilches, Nicolas
    We study a certain wormholing phenomenon that takes place in the Kollar-Shepherd-Barron-Alexeev (KSBA) compactification of the moduli space of surfaces of general type. It occurs because of the appearance of particular extremal P-resolutions in surfaces on the KSBA boundary. We state a general wormhole conjecture, and we prove it for a wide range of cases. At the end, we discuss some topological properties and open questions.