AFFINE THREEFOLDS WITH A(2)-FIBRATIONS

作者:Gurjar R V; Masuda K; Miyanishi M*
来源:Transformation Groups, 2017, 22(1): 187-205.
DOI:10.1007/s00031-016-9379-4

摘要

An affine threefold containing an A(2) -cylinder is studied. The existence of A(2) -cylinders is almost equivalent to the existence of mutually commuting, independent G(a)-actions sigma 1, sigma 2. A typical example of such affine threefolds is a hypersurface x(m)y = f (x, z, t), and we generalize such a hypersurface to define an affine pseudo-3-space. After I. Heden [He], we observe also a G(a)-action on the hypersurface x(m)y - f(x,z,t) with m >= 2.

  • 出版日期2017-3

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