% \iffalse %%% ==================================================================== %%% @LaTeX-file{ %%% author = "American Mathematical Society", %%% version = "1.2beta", %%% date = "11-Oct-1994", %%% time = "15:08:16 EDT", %%% filename = "preface.tex", %%% copyright = "Copyright (C) 1994 American Mathematical Society, %%% all rights reserved. Copying of this file is %%% authorized only if either: %%% (1) you make absolutely no changes to your copy, %%% including name; OR %%% (2) if you do make changes, you first rename it %%% to some other name.", %%% address = "American Mathematical Society, %%% Technical Support, %%% Electronic Products and Services, %%% P. O. Box 6248, %%% Providence, RI 02940, %%% USA", %%% telephone = "401-455-4080 or (in the USA and Canada) %%% 800-321-4AMS (321-4267)", %%% FAX = "401-331-3842", %%% checksum = "13253 59 299 2952", %%% email = "tech-support@math.ams.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "latex, amslatex, ams-latex, documentation", %%% supported = "yes", %%% abstract = "This file is part of the AMS-\LaTeX{} package. %%% It is part of the monograph sample, %%% testbook.tex (q.v.).", %%% docstring = "The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== % \fi %----------------------------------------------------------------------------- % Beginning of preface.tex %----------------------------------------------------------------------------- \chapter*{Preface} This is an example of an unnumbered chapter which can be used for a preface or foreword. The purpose of this paper is to establish a relationship between an infinite-dimensional Grassmannian and arbitrary algebraic vector bundles of any rank defined over an arbitrary complete irreducible algebraic curve, which generalizes the known connection between the Grassmannian and line bundles on algebraic curves. %----------------------------------------------------------------------------- % End of preface.tex %-----------------------------------------------------------------------------