On the automorphism group of a certain infinite type domain in C2
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DOI: 10.1016/j.jmaa.2016.11.003
Abstract: Abstract In this study, we consider an infinite type domain Ω P in C 2 . The aim of this study is to investigate the holomorphic vector fields tangent to an infinite type model in… read more here.
Keywords: type; type domain; infinite type; automorphism group ... See more keywords
Multi-Layer quivers and higher slice algebras
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DOI: 10.1142/s021949882450186x
Abstract: In this paper, we introduce multi-layer quiver and show how to construct an $(n+1)$-slice algebras of infinite type from an $n$-slice algebra of infinite type using the bound quivers. This leads to constructing $(n+1)$-slice algebras… read more here.
Keywords: multi layer; infinite type; algebra; slice algebras ... See more keywords
Isomorphisms between curve graphs of infinite-type surfaces are geometric
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DOI: 10.1216/rmj-2018-48-6-1887
Abstract: Let $\phi:\mathcal{C}(S)\to\mathcal{C}(S')$ be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation $S$ and $S'$ are homeomorphic and $\phi$ is induced by a homeomorphism… read more here.
Keywords: graphs infinite; type surfaces; isomorphisms curve; curve graphs ... See more keywords