2024/10/30 by Woohyeok Jo, Jo, Woohyeok, Jong-Il Park +3
Mathematics · #Finite Group Theory Research #Advanced Topics in Algebra #Commutative Algebra and Its Applications
paper · pdf · doi:10.48550/arxiv.2410.22708
In this article, we study the effects of topological and smooth obstructions on the existence of rational homology complex projective planes that admit quotient singularities of small indices. In particular, we provide a classification of the types of quotient singularities that can be realized on rational homology complex projective planes with indices up to three, whose smooth loci have trivial first integral homology group.