3 papers
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.NT2024
Base change conductors through intersection theory and quotient singularities
Dennis Eriksson, Lars Halvard Halle, Johannes Nicaise
We perform a systematic study of the base change conductor for Jacobians. Through the lens of intersection theory and Deligne's Riemann-Roch theorem, we present novel computational…