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On the cancellation problem for surfaces
Institution:1. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA;2. Department of Mathematics, University of Nebraska–Lincoln, Lincoln, NE 68588, USA;1. Universidad de Sevilla, Facultad de Matemáticas, Departamento de Álgebra, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain;2. University of Kent, School of Mathematics, Statistics and Actuarial Science, Sibson Building, Canterbury, CT2 7FS, UK;1. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India;2. Department of Mathematics and Statistics, UiT The Arctic University of Norway, N-9037 Tromsø, Norway;1. Institute for the Advancement of Higher Education, Okayama University of Science, Okayama, 700-0005, Japan;2. Graduate School of Natural Science and Technology, Okayama University, Okayama, 700-8530, Japan
Abstract:In this Note we prove a conjecture formulated by Danielewski. As a consequence we obtain an infinite dimensional family of non-isomorphic surfaces Xλ with the property that all Xλ × ℂ are isomorphic.
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