C1,1 regularity of geodesics of singular Kähler metrics
نویسندگان
چکیده
We show the optimal $C^{1,1}$ regularity of geodesics in nef and big cohomology class on K\"ahler manifolds away from non-K\"ahler locus, assuming sufficiently regular initial data. As a special case, we prove metrics compact varieties singular locus. Our main novelty is an improved boundary estimate for complex Monge-Amp\`ere equation that does not require strict positivity reference form near boundary. also discuss case some geodesic rays.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2021
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12424