output
20072024
most citedHodge metrics and the curvature of higher direct images

48 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

6 papers

math.DG2024★ 46 cited

Diastolic and isoperimetric inequalities on surfaces

Florent Balacheff, Stéphane Sabourau

We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show…

math-ph2018★ 21 cited

A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions

Estelle Basor, Pavel Bleher, Robert Buckingham +4

We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equatio…

math.RT2011★ 3 cited

Good Grosshans filtration in a family

Wilberd van der Kallen

We reprove the main result of our joint work [arXiv:0706.0604] with Srinivas, concerning finite Schur filtration dimension, but now with the base field replaced by a commutative no…

math.AG2009★ 19 cited

Le théorème de Bertini en famille

Olivier Benoist

We give upper bounds for the dimension of the set of hypersurfaces of whose intersection with a fixed integral projective variety is not integral. Our upper bounds a…

math.CA2009★ 4 cited

When is a Riesz distribution a complex measure?

Alan D. Sokal

Let R_αbe the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by the complex number α. I give an elementary proof of the necessary and sufficient condition fo…

math.AG2007★ 48 cited

Hodge metrics and the curvature of higher direct images

Christophe Mourougane, Shigeharu Takayama

Using the harmonic theory developed by Takegoshi for representation of relative cohomology and the framework of computation of curvature of direct images bundles by Berndtsson, we…