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$\delta$-invariants of Du Val del Pezzo surfaces of degree $3$

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arxiv 2311.14181 v2 pith:6JQAFNAQ submitted 2023-11-23 math.AG

classification math.AG
keywords degreedeltapezzosurfacesarticlecomputeinvariantinvariants
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abstract

In this article, we compute $\delta$-invariant of Du Val del Pezzo surfaces of degree $3$.

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  1. K-stability of del Pezzo surfaces with a single quotient singularity

    math.AG 2025-07 conditional novelty 6.0 of 10

    K-stable del Pezzo surfaces with a single quotient singularity of type 1/(mn-1)(1,n) and two exceptional curves in the minimal resolution are exactly S^4_{2,2}, S^5_{2,2}, S^5_{3,2}, S^6_{3,2}, S^6_{4,2}, S^7_{4,2}, S...

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