Degeneration of Hodge structures on I-surfaces

Autor: Coughlan, Stephen, Franciosi, Marco, Pardini, Rita, Rollenske, Sönke
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $K_X^2 = 1$ and $\chi(X) = 3$ we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.
Databáze: arXiv