2 citations · 3 across the 4 of their papers we have counts for
4 papers
The Weil-Petersson current on Douady spaces
Reynir Axelsson, Georg Schumacher
The Douady space of compact subvarieties of a Kähler manifold is equipped with the Weil-Petersson current, which is everywhere positive with local continuous potentials, and of cla…
Kähler structure on Hurwitz spaces
Reynir Axelsson, Indranil Biswas, Georg Schumacher
The classical Hurwitz spaces, that parameterize compact Riemann surfaces equipped with covering maps to of fixed numerical type with simple branch points, are exten…
Variation of geodesic length functions over Teichmüller space
Reynir Axelsson, Georg Schumacher
In a family of compact, canonically polarized, complex manifolds equipped with Kähler-Einstein metrics the first variation of the lengths of closed geodesics was previously shown i…
Geometric Approach to the Weil-Petersson Symplectic Form
Reynir Axelsson, Georg Schumacher
In a family of compact, canonically polarized, complex manifolds the first variation of the lengths of closed geodesics is computed. As an application, we show the coincidence of t…