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math.AG2012★ 2 cited
Wild multidegrees of the form (d,d_2,d_3) for given d greather than or equal to 3
Marek Karaś, Jakub Zygadło
Let d be any number greather than or equal to 3. We show that the intersection of the set mdeg(Aut(C^3))\ mdeg(Tame(C3)) with {(d_1,d_2,d_3) : d=d_1 =< d_2 =< d_3} has infinitely m…
math.AG2009★ 12 cited
On multidegree of tame and wild automorphisms of C^3
Marek Karas, Jakub Zygadlo
In this note we show that the set mdeg(Aut(C^3)) mdeg(Tame(C^3)) is not empty. Moreover we show that this set has infinitely many elements. Since for the famous Nagata's example N…
math.AG2008★ 2 cited
Remarks on a normal subgroup of GA_n
Jakub Zygadło
We show that the subgroup generated by locally finite polynomial automorphisms of k^n is normal in GA_n. Also, some properties of normal subgroups of GA_n containing all diagonal a…