421 citations · 582 across the 16 of their papers we have counts for
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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…
Families of hypersurfaces of large degree
Christophe Mourougane
We show that general moving enough families of high enough degree hypersurfaces in a complex projective space do not have a dominant set of sections.