As on arXiv
Abstract
Gushel-Mukai manifolds are specific families of -dimensional Fano manifolds of Picard rank and index where . A Gushel-Mukai -fold is either ordinary, i.e. a hyperquadric section of a quintic Del Pezzo -fold, or special, i.e. it admits a double cover over the quintic Del Pezzo -fold branched along an ordinary Gushel-Mukai -fold. In this paper, we prove that a general special Gushel-Mukai -fold is K-stable for every . Furthermore, we give a description of the first and last walls of the K-moduli of the pair , where is the quintic Del Pezzo fourfold (or fivefold) and is an ordinary Gushel-Mukai threefold (or fourfold). Besides, we compute -invariants of quintic Del Pezzo fourfolds and fivefolds which were shown to be K-unstable by K. Fujita, and show that they admit Kähler-Ricci solitons.
Comments: 36 pages, Final version
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The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Optimal Degenerations of K-unstable Fano threefolds
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, 3-manifolds · Same author Linsheng Wang · Shared terms “Mukai”, “threefold”, “unstable”
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Kähler-Ricci solitons on Fano threefolds with non-trivial moduli
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, 3-manifolds · Same author Linsheng Wang · Shared terms “threefold”, “Fano”
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Log del Pezzo -surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, Kähler geometry · Shared terms “Del Pezzo”, “Picard”
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A Note On Kähler-Ricci Flow on Fano Threefolds
Topics Kähler–Ricci solitons, 3-manifolds, Kähler geometry · Shared terms “Mukai”, “admit Kähler”, “threefold”
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Lower bound of modified -energy on a Fano manifold with degeneration for Kähler-Ricci solitons
Topics Kähler–Ricci solitons, Kähler geometry, Stability & uniqueness · Shared terms “Fano manifold”
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Extremal Kähler–Ricci solitons on Fano manifolds are Kähler–Einstein
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, Kähler geometry · Shared terms “Fano manifold”
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From Kähler Ricci solitons to Calabi-Yau Kähler cones
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, Kähler geometry · Shared terms “Fano manifold”, “Fujita”
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Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type
Topics Kähler–Einstein & K-stability, Kähler–Ricci solitons, Kähler geometry · Shared terms “Fano manifold”
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In the guidebook
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