421 citations · 582 across the 16 of their papers we have counts for
16 papers
On genus one mirror symmetry in higher dimensions and the BCOV conjectures
Gerard Freixas I Montplet, Dennis Eriksson, Christophe Mourougane
The mathematical physicists Bershadsky-Cecotti-Ooguri-Vafa (BCOV) proposed, in a seminal article from '94, a conjecture extending genus zero mirror symmetry to higher genera. With…
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…
Singularities of metrics on Hodge bundles and their topological invariants
Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane
We consider degenerations of complex projective Calabi--Yau varieties and study the singularities of , Quillen and BCOV metrics on Hodge and determinant bundles. The dominant…
Stability of the tangent bundle of G/P in positive characteristics
Indranil Biswas, Pierre-Emmanuel Chaput, Christophe Mourougane
Let be an almost simple simply-connected affine algebraic group over an algebraically closed field of characteristic . If has type , or , we assu…
Stability of restrictions of cotangent bundles of irreducible Hermitian symmetric spaces of compact type
Indranil Biswas, Pierre-Emmanuel Chaput, Christophe Mourougane
It is known that the cotangent bundle of an irreducible Hermitian symmetric space of compact type is stable. Except for a few obvious exceptions, we show that if $X \subs…
Hessian of the natural Hermitian form on twistor spaces
Guillaume Deschamps, Noël Le Du, Christophe Mourougane
We compute the hessian of the natural Hermitian form successively on the Calabi family of a hyperkähler manifold, on the twistor space of a 4-dimensional anti-self-dual Riemannian…