4 papers · 1 filter
Spectrum of singularities, analytic torsion and Calabi--Yau degenerations
Dennis Eriksson, Gerard Freixas i Montplet
We relate the spectrum of singularities to the geometry of degenerating Calabi--Yau manifolds through holomorphic analytic torsion. We express the leading asymptotic coefficients o…
The Deligne-Riemann-Roch isomorphism
Dennis Eriksson, Gerard Freixas i Montplet
This work establishes the geometric component of Deligne's longstanding program on refined Grothendieck-Riemann-Roch formulas expressed through determinants of cohomology. The appr…
Genus one mirror symmetry for intersection of two cubics in
Dennis Eriksson, Mykola Pochekai
This paper establishes BCOV-type genus one mirror symmetry for the intersections of two cubics in . The proof applies previous constructions of the mirror family by t…
The spectral genus of an isolated hypersurface singularity and a conjecture relating to the Milnor number
Dennis Eriksson, Gerard Freixas i Montplet
In this paper, we introduce the notion of spectral genus of a germ of an isolated hypersurface singularity , defined…