Degeneration of Hodge structures on I-surfaces
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 KX2 = 1 and (X) = 3 we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.