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math.DG2012★ 8 cited
Hessian of the natural Hermitian form on twistor spaces
Guillaume Deschamps, Noël Le Du, Christophe Mourougane
We compute the hessian of the natural Hermitian form successively on the Calabi family of a hyperkähler manifold, on the twistor space of a 4-dimensional anti-self-dual Riemannian…
math.DG2004★ 2 cited
Analytic torsion of Hirzebruch surfaces
Christophe Mourougane
Using different forms of the arithmetic Riemann-Roch theorem and the computations of Bott-Chern secondary classes, we compute the analytic torsion and the height of Hirzebruch surf…