Abstract
An affine threefold containing an \( \mathbb{A} \) 2-cylinder is studied. The existence of \( \mathbb{A} \) 2-cylinders is almost equivalent to the existence of mutually commuting, independent Ga-actions σ1, σ2. 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. Hedén [He], we observe also a Ga-action on the hypersurface x m y = f(x, z, t) with m ≥ 2.
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(K. MASUDA) Supported by Grant-in-Aid for Scientific Research (C) 22540059, JSPS.
(M. MIYANISHI) Supported by Grant-in-Aid for Scientific Research (B) 24340006, JSPS.
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GURJAR, R.V., MASUDA, K. & MIYANISHI, M. AFFINE THREEFOLDS WITH \( \mathbb{A} \) 2-FIBRATIONS. Transformation Groups 22, 187–205 (2017). https://doi.org/10.1007/s00031-016-9379-4
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DOI: https://doi.org/10.1007/s00031-016-9379-4