BCOV invariants of Calabi--Yau manifolds and degenerations of Hodge structures

Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane

Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), i…