Olivier Debarre

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Olivier Debarre, Oberwolfach 2012

Olivier Debarre (* 1959 ) is a French mathematician who deals with complex algebraic geometry.

Debarre studied from 1977 to 1981 at the École normal supérieure (ENS) and was at Harvard University with Phillip Griffiths in 1981/82 . In 1981 the first part (Thèse de troisième cycle) took place at the University of Paris VII with Arnaud Beauville ( Inégalités numériques pour les surfaces de type général ) and in 1987 the second part (Thèse d'Etat) at Beauville at the University of Paris XI ( Variétés de Prym, conjecture de la trisécante et ensembles d'Andreotti et Mayer , as well as Conjugaison analytique à des rotations des difféomorphismes analytiques du cercle ). From 1982 to 1995 he did research for the CNRS . From 1991 to 1994 he was an Associate Professor at the University of Iowa . From 1995 to 2008 he was professor at the University of Strasbourg and from 2008 professor at the University of Paris VII and the ENS, where he was head of the faculty in 2009/10.

From 1997 to 2001 he was a part-time professor at the École polytechnique . He was at the Institute for Advanced Study in 1981 , visiting professor at Harvard in 1999, at the National Taiwan University in 2007 and at the Korean Institute for Advanced Study in 2008, at Fudan University in Shanghai in 2008, at the University of Michigan in 2004 and at the MSRI in 2009 .

From 1999 to 2004 he was a junior member of the Institut Universitaire de France.

He dealt with the Schottky problem, sentences of the Torelli type, Fano and Prym varieties, among other things.

He is editor of the SMF Astérisque series , the Mathematical Journal and the Annales de l´ ENS.

Fonts

  • The theory of Torelli for the intersections of squares. In: Inventiones Mathematicae . Vol. 95, No. 3, 1989, pp. 507-528, doi : 10.1007 / BF01393887 .
  • The Schottky Problem: An Update. In: Herbert Clemens , János Kollár (Ed.): Current Topics in Complex Algebraic Geometry (= Mathematical Sciences Research Institute Publications. 28). Cambridge University Press, Cambridge et al. 1995, ISBN 0-521-56244-9 , pp. 57-64, ( online ).
  • Variétés de Fano. In: Séminaire Bourbaki. Exposés. No. 820-834, 1996/1997 = Astérisque. No. 245, 1997, pp. 197-221, ( digital version (PDF; 2.23 MB) ).
  • Tores et variétés abéliennes complexes (= Collection Société Mathématique de France. Cours spécialisés. 6). Société Mathématique de France, Marseille 1999, ISBN 2-86883-427-2 (In English: Complex Tori and Abelian Varieties (= SMF / AMS Texts and Monographs. 11). American Mathematical Society et al., Providence RI 2005, ISBN 0- 8218-3165-8 ).
  • Higher dimensional algebraic geometry (= university text . ). Springer, New York NY et al. 2001, ISBN 0-387-95227-6 .

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