Projectivity criteria for Kähler morphisms | Vidéo | Carmin.tv

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Projectivity criteria for Kähler morphisms

By Andreas Höring

Appears in collection : Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Let f : X → Y be a holomorphic map between compact Kähler manifolds. If a general fibre of f is a projective manifold a natural question is whether the morphism itself is projective, i.e. X embeds into some projectivised bundle P(V) → Y. It is well-known that this is not the case, but we will see that in some situations that are natural in the context of MMP, the answer is yes.

Information about the video

Date of recording 02/06/2025
Date of publication 20/06/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20356803
Cite this video Höring, Andreas (02/06/2025). Projectivity criteria for Kähler morphisms. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20356803
URL https://dx.doi.org/10.24350/CIRM.V.20356803

Domain(s)

Bibliography

CLAUDON, Benoît et HÖRING, Andreas. Projectivity criteria for Kähler morphisms. arXiv preprint arXiv:2404.13927, 2024. - https://doi.org/10.48550/arXiv.2404.13927

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