Dear Would you be willing to referee the attached paper by for the Transactions of the AMS? Unfortunately, the backlog for TAMS has exceeded reasonable bounds, and the editors have imposed a hard upper bound on the number of pages that can be accepted. Consequently, the competition for acceptance is fierce, and only papers of the very highest quality should be recommended for acceptance. Please keep this in mind as you think about this submission; be hard, but fair. If by a preliminary reading you determine that even if the paper is well written and correct, the results it contains do not meet the strict standard mentioned above, then I would appreciate your responding quickly and expressing this opinion. By the way, I am not trying to prejudice your reading, but just setting reasonable guidelines. If the paper merits deeper study, then you could look over the AMS information for referees included below. I hope that you are willing to accept this job, but if not then please inform me as quickly as you can so that I can look for other possible referees. In that case, any suggestions as to other suitable referees would be very much welcome. Sincerely, Steffen Lempp ------------------------------------------------------ INFORMATION FOR EDITORS AND REFEREES of Articles Submitted to the American Mathematical Society for Publication A referee is asked to recommend acceptance, rejection, or revision of papers; the final decision rests with the editor. Each recommendation should be clear and well founded and should be based on a thorough reading of the paper. Since the referee's report will be transmitted (anonymously) to the author, reasons for a recommendation should be carefully stated, preferably on a plain piece of paper without identifying watermarks so that the report can be photocopied and mailed to the author without revealing the identity of the referee. REFEREEING TIME: Papers of less than 10 pages should not take more than three weeks to referee. Longer papers may require more time. A manuscript of 50 pages could take two months; no paper should require more than four months. CRITERIA FOR RECOMMENDING PUBLICATION Although each journal should have its own statement of editorial policy for acceptance of papers, the set of criteria listed below may be taken as a standard for such statements. 1. Papers must be correct. While this is basically the author's responsibility, the referee must certainly be reasonably convinced of the accuracy of the paper. 2. Papers must be new in a nontrivial sense; e.g. a collection of new definitions and deductions therefrom is not publishable unless the author shows that (or unless it is clear that) it simplifies or solves some existing problems of reasonable importance. Similarly, a new theorem with an old proof may not be publishable. The editorial committee should collectively strive to seek out papers that will enable the journal to represent contemporary mathematical research significantly in its many dynamic facets. There should be a consensus of the committee as to the standards of excellence which will ensure this objective, and the quality of a paper should be judged on this basis. 3. Papers must be of interest to an appreciable number of readers, not just the author's students and a few colleagues. 4. Papers must be written clearly; at least the referee should be able to understand them without undue difficulty. In a paper which is otherwise marginal, failure in this respect could be cause for rejection. ITEMS TO BE CHECKED 1. The title should be informative. 2. The 2000 Mathematics Subject Classification categories should identify the fields of an article accurately. 3. The abstract should summarize the results of the paper. The main purpose of the abstract is to enable readers to take in the nature and results of the paper quickly and to decide whether they wish to read the entire paper. The abstract should contain no text references to the bibliography except for the complete bibliographic information. For example, [3] is meaningless when the abstract is separated from the article. 4. If key words are included (they are optional), they should indicate important topics considered. (Editors should be familiar with the contents of the Information for Authors of Papers of AMS publications.) 5. Items listed in the bibliography should be relevant to the subject of the paper. Referees need not be concerned about the style of the bibliography.