10 citations · 55 across the 14 of their papers we have counts for
3 papers · 1 filter
Flat line bundles and the Cappell-Miller torsion in Arakelov geometry
Gerard Freixas i Montplet, Richard A. Wentworth
In this paper, we extend Deligne's functorial Riemann-Roch isomorphism for hermitian holomorphic line bundles on Riemann surfaces to the case of flat, not necessarily unitary conne…
Deligne pairings and families of rank one local systems on algebraic curves
Gerard Freixas i Montplet, Richard A. Wentworth
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connection…
Generalized holomorphic analytic torsion
J. I. Burgos Gil, G. Freixas i Montplet, R. Litcanu
We extend the holomorphic analytic torsion classes of Bismut and Köhler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axi…