The authors of the papers collected in this volume gave invited talks at one of
the following meetings, held in France during the summer of 2001:
• Algebre commutative. Interactions avec la geometrie algebrique,
Institut Fourier, Grenoble, July g_:_July 13, 2001;
• Commutative Algebra and its Interactions with Algebraic Geometry,
Special Session at the Joint meeting of the American Mathematical Society
and the Societe Mathematique de France, Lyon, July 17-July 20, 2001.
The organizers (L. A. and M. M. for Grenoble, M. C. and C. P. for Lyon)
planned the meetings in close collaboration. A significant overlap of participants
was expected, so duplication of lectures was avoided. A list of all the talks given at
each meeting is included following this introduction. The speakers have provided
references to the articles where the results presented at the meetings have appeared
or will appear in print.
The Centre National de la Recherche Scientifique, the lnstitut Fourier, the
Ministere des Affaires Etrangeres, the Ministere de la Recherche, and the Societe
Mathematique de France provided partial financial support to one or both meetings.
It is gratefully acknowledged. The conferences were held at the lnstitut Fourier in
Grenoble and the Ecole Normale Superieure in Lyon. We thank these institutions
for their hospitality, their staff for considerable help in organizing and running the
meetings, and Mrs. Arlette Guttin-Lombard from the Institut Fourier for preparing
the final typescripts of many papers.
This volume owes a lot to the input of the participants in the meetings, the
speakers in Grenoble and Lyon, the authors who submitted papers to these pro-
ceedings, and the experts who refereed the manuscripts. We extend our thanks to
all of them.
Luchezar Avramov Marc Chardin Marcel Morales Claudia Polini
L. A. and C. P. were partly supported by grants from the N.S.F.