Preface

This volume commemorates the first Joint AMS-India Mathematics Meeting

which was held in Bangalore, India during December 17-20, 2003. This was the

first occasion for an International Meeting of the American Mathematical Society

to take place in India. We organized a special session on Commutative Algebra and

Algebraic Geometry at this meeting. It featured talks by twenty mathematicians

from around the world, including some of the leading researchers in Commutative

Algebra and Algebraic Geometry. We had eight speakers from India, seven from

USA and five from France, Germany, Spain and Switzerland. Although the talks

in our special session were by invitation only, we had an overwhelming response

from mathematicians across the globe who were interested in participating in the

session and presenting their work. As an addition to the meeting and especially to

feature younger researchers among them, we organized a one-day conference prior

to the AMS meeting. This event "Commutative Algebra and Algebraic Geometry

- featuring younger researchers' took place primarily with the help of our local

organizer Dilip Patil, a 'at the Indian Institute of Science, Bangalore on December

16, 2003 .. This 'Young Session' featured talks by 11 researchers including seven

from India, two from USA and one each from Germany and Japan.

The articles in this volume are selected from those which were solicited from

the invited speakers at the 'Young Session' as well as the 'Special Session'. Several

among these are research articles with new results not published elsewhere, while

some are definitive survey articles. Each article has been refereed in accordance

with the high scientific standards of the AMS Contemporary Mathematics series.

As a quick glance at the table of contents would reveal, the articles represent a wide

spectrum of topics of current interest in Commutative Algebra and Algebraic Ge-

ometry. Most articles also contain an eclectic mix of Algebra and Geometry. Thus

we have not deemed it appropriate to separate the articles under different themes.

Indeed, we have simply arranged them in an alphabetical order. Mathematics, after

all, is an organic whole, and compartmentalization into distinct subjects is often

artifical and inaccurate. The organic unity and the interconnections are especially

evident in the twin areas of Commutative Algebra and Algebraic Geometry. We

hope that this volume goes some way in reestablishing this fact.

In organizing the two sessions and preparing this volume, we have received

excellent cooperation from many individuals and organizations. We are grateful

to all of them and would specifically like to mention the following. First and

foremost, the American Mathematical Society for organizing a joint conference in

India and hope this will be a periodic event. The AMS and its staff have been

helpful and cooperative, and we appreciate that. We also thank Ms. Brenda

Frazier of the University of Missouri for her generous help in putting together

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