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math.AG2025
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…
math.AG2025
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…
math.AG2024
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…