10 citations · 36 across the 12 of their papers we have counts for
11 papers · 1 filter
Deligne-Riemann-Roch and intersection bundles
Dennis Eriksson, Gerard Freixas i Montplet
This article is part of a series of works by the authors with the goal of completing a far-reaching program propounded by Deligne, aiming to extend the codimension one part of the…
Complex Chern--Simons bundles in the relative setting
Dennis Eriksson, Gerard Freixas i Montplet, Richard A. Wentworth
Complex Chern-Simons bundles are line bundles with connection, originating in the study of quantization of moduli spaces of flat connections with complex gauge groups. In this pape…
On genus one mirror symmetry in higher dimensions and the BCOV conjectures
Gerard Freixas I Montplet, Dennis Eriksson, Christophe Mourougane
The mathematical physicists Bershadsky-Cecotti-Ooguri-Vafa (BCOV) proposed, in a seminal article from '94, a conjecture extending genus zero mirror symmetry to higher genera. With…
Nonproper intersection products and generalized cycles
Mats Andersson, Dennis Eriksson, Håkan Samuelsson Kalm +2
In this article we develop intersection theory in terms of the -group of a reduced analytic space. This group was introduced in a previous work as an analogue of the C…
BCOV invariants of Calabi--Yau manifolds and degenerations of Hodge structures
Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane
Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), i…
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry
Sébastien Boucksom, Dennis Eriksson
Let L be an ample line bundle on a (geometrically reduced) projective variety X over any complete valued field. Our main result describes the leading asymptotics of the determinant…