Weighted compactifications of configuration spaces and relative stable degenerations

Evangelos Routis

Weighted compactifications of configuration spaces and relative stable degenerations

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arxiv 1411.2955 v1 pith:LZQT473T submitted 2014-11-11 math.AG

Evangelos Routis This is my paper · ORCID

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keywords compactificationconfigurationgeneralizationspacestablearbitrarycarriedcompactifications

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We study a compactification of the configuration space of n distinct labeled points on an arbitrary nonsingular variety. Our construction provides a generalization of the original Fulton-MacPherson compactification that is parallel to the generalization of the moduli space of n-pointed stable curves carried out by Hassett.

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Hilbert schemes of points and Fulton-MacPherson compactifications
math.AG 2025-01 conditional novelty 8.0 of 10

The paper constructs epsilon-weighted subschemes on Fulton-MacPherson degenerations that interpolate between Hilbert schemes and Fulton-MacPherson compactifications, and proves wall-crossing formulas that relate their...

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