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pro vyhledávání: '"Ortu, Annamaria"'
Autor:
Ortu, Annamaria
We prove a finite-dimensional moment map property for certain canonical relatively K\"ahler metrics on holomorphic fibrations, called optimal symplectic connections. We then relate the existence of zeroes of this moment map to the stability of the fi
Externí odkaz:
http://arxiv.org/abs/2407.03246
Autor:
Ortu, Annamaria, Sektnan, Lars Martin
We give a necessary and sufficient condition for the projectivisation of a slope semistable vector bundle to admit constant scalar curvature K\"ahler (cscK) metrics in adiabatic classes, when the base admits a constant scalar curvature metric. More p
Externí odkaz:
http://arxiv.org/abs/2406.08284
Autor:
Ortu, Annamaria
We construct a moduli space that parametrises stable proper holomorphic submersions over a fixed compact Kaehler base. Stability is described in terms of the existence of a canonical relatively Kaehler metric on the submersion, called an optimal symp
Externí odkaz:
http://arxiv.org/abs/2306.09137
Autor:
Ortu, Annamaria
We give a general construction of extremal Kaehler metrics on the total space of certain holomorphic submersions, extending results of Dervan-Sektnan, Fine, and Hong. We consider submersions whose fibres admit a degeneration to Kaehler manifolds with
Externí odkaz:
http://arxiv.org/abs/2201.12562
Autor:
Ortu, Annamaria
Publikováno v:
In Advances in Mathematics 1 February 2023 414