ResearchWorks Archive

# Wild Automorphisms and Abelian Varieties

 dc.contributor.author Kirson, Antonio dc.date.accessioned 2010-06-08T16:28:56Z dc.date.available 2010-06-08T16:28:56Z dc.date.issued 2010 dc.identifier.citation Antonio Kirson en_US dc.identifier.uri http://hdl.handle.net/1773/15907 dc.description.abstract An automorphism $\sigma$ of a projective variety $X$ is said to be \textit{wild} if $\sigma(Y)\neq Y$ for every non-empty subvariety $Y\subsetneq X$. In MR2227726 Z. Reichstein, D. Rogalski, and J.J. Zhang conjectured that if $X$ is an irreducible projective variety admitting a wild automorphism then $X$ is an abelian variety, and proved this conjecture for $\dim(X)\leq2$. As a step toward answering this conjecture in higher dimensions we prove a structure theorem for projective varieties of Kodaira dimension $0$ admitting wild automorphisms. This essentially reduces the Kodaira dimension $0$ case to a study of Calabi-Yau varieties, which we also investigate. In support of this conjecture, we show that there are no wild automorphisms of certain Calabi-Yau varieties. en_US dc.language.iso en_US en_US dc.relation.ispartofseries ;Antonio Kirson dc.title Wild Automorphisms and Abelian Varieties en_US dc.type Thesis en_US
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