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- W4386501389 abstract "We investigate the problem of balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. In this paper we prove the existence of such an embedding in a model case. The strategy is by using a gradient flow in a Hilbert space; both the long-time existence and convergence at infinite time are non-trivial. The long time existence is established by choosing a perturbation of the ODE; the convergence depends on a priori bounds that uses techniques in the proof of the Tauber-Hardy-Littlewood theorem." @default.
- W4386501389 created "2023-09-08" @default.
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- W4386501389 date "2023-09-03" @default.
- W4386501389 modified "2023-10-16" @default.
- W4386501389 title "An infinite dimensional balanced embedding problem I:existence" @default.
- W4386501389 doi "https://doi.org/10.48550/arxiv.2309.01097" @default.
- W4386501389 hasPublicationYear "2023" @default.
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