Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy

Reboulet, Rémi

doi:10.48550/arxiv.2012.07972

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Kollár Models and Finite Generation1

Convexity and Uniqueness1

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2022

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“…In the global setting, the analogous construction for I s,λ is often viewed as the "geodesic" connecting two valuations (see [Reb20] or [BLXZ21, Section 3.1.2]). Thus Lemma 4.8 can be interpreted as saying that whenever the geodesic lies in the valuations space, it is the obvious line in the corresponding simplex QM(Y, E).…”

Section: Kollár Models and Finite Generationmentioning

confidence: 99%

Stable degenerations of singularities

Xu¹,

Zhuang²

2022

Preprint

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Section: Kollár Models and Finite Generationmentioning

confidence: 99%

Stable degenerations of singularities

Xu¹,

Zhuang²

2022

Preprint

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show abstract

“…Remark 3.2. In the language of graded norms, the definition of (F t ) t∈[0,1] appears in the work of Reboulet in a more general setting and plays a key role in his theory of geodesics in the space of non-Archimedean metrics on a line bundle [Reb20].…”

Section: Convexity and Uniquenessmentioning

confidence: 99%