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Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds

Publikation: Working paper/Preprint › Working paper › Forskning

Standard

Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. / Spotti, Cristiano; Sun, Song.
ArXiv, 2017.

Publikation: Working paper/Preprint › Working paper › Forskning

Harvard

Spotti, C & Sun, S 2017 'Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds' ArXiv. <https://arxiv.org/pdf/1705.00377.pdf>

APA

Spotti, C., & Sun, S. (2017). Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. ArXiv. https://arxiv.org/pdf/1705.00377.pdf

CBE

Spotti C, Sun S. 2017. Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. ArXiv.

MLA

Spotti, Cristiano og Song Sun Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. ArXiv. 2017.,

Vancouver

Spotti C, Sun S. Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. ArXiv. 2017 apr. 30.

Author

Spotti, Cristiano ; Sun, Song. / Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. ArXiv, 2017.

Bibtex

@techreport{76022cdcd4784a07b4b44a4ab58dfc6e,
title = "Explicit Gromov-Hausdorff compactifications of moduli spaces of K{\"a}hler-Einstein Fano manifolds",
abstract = "We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of K{\"a}hler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.",
keywords = "math.DG, math.AG",
author = "Cristiano Spotti and Song Sun",
year = "2017",
month = apr,
day = "30",
language = "English",
publisher = "ArXiv",
type = "WorkingPaper",
institution = "ArXiv",

}

RIS

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T1 - Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds

AU - Spotti, Cristiano

AU - Sun, Song

PY - 2017/4/30

Y1 - 2017/4/30

N2 - We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.

AB - We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.

KW - math.DG

KW - math.AG

M3 - Working paper

BT - Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds

PB - ArXiv

ER -