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Geometric interpret...
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces
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- Gallardo, Patricio (författare)
- Univ Calif Riverside, Dept Math, 900 Univ Ave,Skye Hall, Riverside, CA 92521 USA.
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- Kerr, Matt (författare)
- Washington Univ, Dept Math & Stat, Box 1146,One Brookings Dr, St Louis, MO USA.
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- Schaffler, Luca (författare)
- KTH,Matematik (Inst.)
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Univ Calif Riverside, Dept Math, 900 Univ Ave,Skye Hall, Riverside, CA 92521 USA Washington Univ, Dept Math & Stat, Box 1146,One Brookings Dr, St Louis, MO USA. (creator_code:org_t)
- Elsevier BV, 2021
- 2021
- Engelska.
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Ingår i: Advances in Mathematics. - : Elsevier BV. - 0001-8708 .- 1090-2082. ; 381
- Relaterad länk:
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http://arxiv.org/pdf...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- It is known that some GIT compactifications associated to moduli spaces of either points in the projective line or cubic surfaces are isomorphic to Baily-Borel compactifications of appropriate ball quotients. In this paper, we show that their respective toroidal compactifications are isomorphic to moduli spaces of stable pairs as defined in the context of the MMP. Moreover, we give a precise mixed-Hodge-theoretic interpretation of this isomorphism for the case of eight labeled points in the projective line. (c) 2021 Elsevier Inc. All rights reserved.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Moduli space
- Compactification
- Pointed line
- Cubic surface
- Hodge theory
- Stable pair
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- art (ämneskategori)
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