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The third Japanese-Australian Workshop on Real & Complex Singularities (JARCS III) was held at the University of Sydney, Australia, during the period 15–18 September 2009. There were 33 participants, mostly from Japan and Australia. The workshop covered a variety of topics in singularity theory and brought together experts, early career researchers, and doctoral students from Australia, France and Japan. This volume contains research papers in real and complex singularities, algebraic geometry and three introductory Lectures on Ominimal structures. It is our hope that this volume reflects the lively research atmosphere of this conference.
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