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Volume 4, Issue 3, 2007, pp. 2283–2320
DOI: 10.4171/OWR/2007/39

Published online: 2008-06-30

Mini-Workshop: Projective Normality of Smooth Toric Varieties

Christian Haase[1], Takayuki Hibi[2] and Diane Maclagan[3]

(1) Freie Universit├Ąt Berlin, Germany
(2) Graduate School of Science, Osaka University, Japan
(3) University of Warwick, Coventry, United Kingdom

Quite a number of scholars work on all aspects of Euler, especially in connection with the continuing preparation of the edition of his Opera omnia. But the historical study of the reception of his work during his lifetime and especially after his death has been rather patchy; for example, in the general volume \cite{Euler1983} to commemorate the bicentenary of his death and in the recent Euler handbook \cite{Euler2007} to note the tercentenary of his birth few articles dealt with aspects of reception in any depth. (This point holds of reception history in general.) In our workshop the reception of Euler's work was usually considered up to around 1840. After that, it seems that it was ordinarily either used routinely or replaced, or quite forgotten, or was studied historically; a few exceptions are noted. Sixteen scholars came together from eight countries to present their ideas on Euler's influence in a number of mathematical areas. The selection of topics is indicated in the table of contents; it includes several from applied mathematics, where scholarship is especially limited. We also discussed some examples of Euler's influence in various countries, but this kind of history is even less well developed than the influence by areas! In addition, we aired other neglected historical questions, such as: why was there such a small reception of the many papers and other writings that were posthumously published by the Saint Petersburg Academy between 1783 and 1862? The sign `E\,$n$' in the abstracts below indicates the number $n$ of an Euler writing according to the list that was prepared in the early 1910s by the historian Gustav Enestr\"{o}m. The meeting was a success and we are thinking of building up our efforts into a book on Euler's influence. \begin{thebibliography}{9} \bibitem{Euler1983} \emph{Leonhard Euler. Beitr\"{a}ge zu Leben und Werk} (Basel 1983). \bibitem{Euler2007} R.\,E.\ Bradley and C.\,E.\ Sandifer (eds.) \emph{Leonhard Euler: life, work and legacy} (Amsterdam 2007). \end{thebibliography}

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Haase Christian, Hibi Takayuki, Maclagan Diane: Mini-Workshop: Projective Normality of Smooth Toric Varieties. Oberwolfach Rep. 4 (2007), 2283-2320. doi: 10.4171/OWR/2007/39