Divisible Designs , Laguerre Geometry , and Beyond Summer School on Combinatorial Geometry and Optimisation 2004
نویسنده
چکیده
Final version, layout for two-sided printing using A4 paper (December 2004). Preface These notes are based upon a series of lectures given at the Summer School on Combina-torial Geometry and Optimisation 2004 " Giuseppe Tallini ". It took place at the Catholic University of Brescia, Italy, from June 4th until June 10th, 2004, within the MIUR COFIN 2004 research project Strutture Geometriche, Combinatoria e loro Applicazioni, coordinated by GUGLIELMO LUNARDON, and supported by Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni. A preliminary version was used during the lectures. In its final form, several remarks, suggestions for further reading, and additional references have been added to the text. It was wonderful to speak and discuss with so many participants of the summer school. Their feedback, questions, and criticism helped substantially to improve the final text. Also, I am very grateful to ANDREA BLUNCK (Hamburg) and RALPH-HARDO SCHULZ (Berlin) for providing a lot of material, making so many suggestions, updating the list of references, and adding valuable remarks. It is impossible to thank them enough. JOHANNES GMAINER (Vienna) deserves special mention for his careful proofreading. It allowed to eliminate a lot of errors. Last, but not least, I would like to express my great appreciation to the local organizers: My thanks go to (in alphabetical order) MARIO MARCHI, SILVIA PIANTA, and ELENA ZIZIOLI, for their great efforts in organizing this summer school, their valuable assistance in many respects, their enthusiasm, their patience, their invitation to teach at this meeting, and their overwhelming hospitality.
منابع مشابه
Some constructions of divisible designs from Laguerre geometries
In the nineties, A.G. Spera introduced a construction principle for divisible designs. Using this method, we get series of divisible designs from finite Laguerre geometries. We show a close connection between some of these divisible designs and divisible designs whose construction was based on a conic in a plane of a 3-dimensional projective space.
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