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math.SP2026
Spectral determinants of flat metrics on the bielliptic genus-two locus
Victor Kalvin
We obtain a closed explicit formula for the spectral determinant of flat conical metrics on the bielliptic genus-two locus. The metrics are generated by holomorphic one-forms with…
math.DG2026
Spectral determinants of the Bolza surface and the Klein quartic
Victor Kalvin
We obtain closed explicit formulas for the spectral determinants of the smooth hyperbolic Bolza surface and the Klein quartic. In each case, a multiplicative relation expresses the…
math.SP2026
Corner contributions to Neumann jump determinants: three model calculations and a BFK conjecture
Victor Kalvin
We formulate a local corner-factor conjecture for the determinant of the Neumann jump operator on a piecewise real-analytic cutting curve. For the mirror double of a simply connect…