Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

A variational approach to the Yau-Tian-D...

Berman, Robert...

Free

Share this content

A variational approach to the Yau-Tian-Donaldson conjecture by Berman, Robert ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	15-08-2023
Summary	We give a variational proof of a version of the Yau-Tian-Donaldson conjecture for twisted K\"ahler-Einstein currents, and use this to express the greatest (twisted) Ricci lower bound in terms of a purely algebro-geometric stability threshold. Our approach does not involve the continuity method or Cheeger-Colding-Tian theory, and uses instead pluripotential theory and valuations. Along the way, we study the relationship between geodesic rays and non-Archimedean metrics.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1509.04561

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Berman, Robert. A variational approach to the Yau-Tian-Donaldson conjecture. Australian National University. August 15, 2023. Accessed August 15, 2025. https://online.provdatabase.com/cite/18982

APA 7th EditionReferences

Berman, Robert. (2023). A variational approach to the Yau-Tian-Donaldson conjecture. Australian National University. https://online.provdatabase.com/cite/18982

Chicago 17th EditionReferences

Berman, Robert. A variational approach to the Yau-Tian-Donaldson conjecture. Australian National University. 2023. https://online.provdatabase.com/cite/18982

HarvardReferences

Berman, Robert. (2023). A variational approach to the Yau-Tian-Donaldson conjecture. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/18982. (Accessed 15 August 2025).

Harvard AustraliaReferences

Berman, Robert, 2023, A variational approach to the Yau-Tian-Donaldson conjecture, Australian National University, viewed 15 August 2025, <https://online.provdatabase.com/cite/18982>

MLA 9th EditionWorks Cited

Berman, Robert. A variational approach to the Yau-Tian-Donaldson conjecture. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/18982.

Share this eBook