Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In the case of stable surfaces with K2X=1 and χ(X)=3 we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.
Degeneration of Hodge structures on I-surfaces
S. Coughlan;M. Franciosi;R. Pardini;S. Rollenske
2025-01-01
Abstract
Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In the case of stable surfaces with K2X=1 and χ(X)=3 we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.File in questo prodotto:
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