Applications of the moduli continuity method to log K-stable pairs

Cristiano Spotti presents new results on arXiv.

2018.11.09 | Jane Jamshidi

Cristiano Spotti has recently submitted a new result on arXiv jointly with Patricio Gallardo (Washington University) & Jesus Martinez-Garcia (University of Bath)
 

In the paper they describe explicitly some compact moduli spaces of K-polystable Fano pairs (X, (1 − β)D) for β sufficiently close to one using GIT constructions. More precisely, they discuss the cases of pairs (X, (1 − β)D) given by del Pezzo surfaces of degree three with anticanonical sections, and of X = CPn with D a hypersurface of degree d > n + 1.

 

Link to the paper on arXiv.