This is the directory: genus2, which contains files relating to curves of genus 2. The following gives the subdirectories, and the files they contain. DIRECTORY: durham Contains the jpg files of the transparencies for the talk I gave at the LMS Durham Symposium, August 2000. For Professor Cremona's homepage of the Symposium, including the online proceedings, see: http://www.maths.nottingham.ac.uk/personal/jec/durham/index.html DIRECTORY: bruinflynn Contains files relating to computations in the two joint articles: "N-Covers of Hyperelliptic Curves" and "Elementary 2-covers of hyperelliptic curves" by N. Bruin and E.V. Flynn. DIRECTORY: jacobian.variety Contains the files: bilinear.forms Gives the forms phi_{ij}(a,b), each bilinear in the jacobian variety coordinates of a and b, such that projectively k_i(a-b) * k_j(a+b). defining.equations Gives a set of defining equations for the jacobian variety. DIRECTORY kummer. Contains the files: biquadratic.forms Gives the 4 x 4 array BBB of quadratic forms on the kummer surface such that, projectively: ( BBB[i,j] ) = ( k_i(A+B) k_j(A-b) + k_i(A-B) k_j(A+B) ) defining.equations Gives the defining equation for the kummer surface, and a formula for addition by a point of order 2. duplication Gives the formula for the duplication law on the kummer surface. DIRECTORY local Contains the files: formal.group Gives terms of the formal group up to and including degree 7. local.coordinates Gives the first few terms for the expansions for the local coordinates as power series in the local parameters s1,s2. exp Gives the formal exponential power series up to and including degree 7. log Gives the formal logarithmic power series up to and including degree 7. DIRECTORY maple Contains the files: Appl.pro An application. This program makes use of the formulae and procedures constructed in the programs Kummer to check the results of Section 6 of Chapter 3, "The Kummer surface", in the book "Progelomana to a middlebrow arithmetic of curves of genus 2". by J.W.S. Cassels and E.V. Flynn (Cambridge University Press, 1996) group.law Performs the group law on divisors. kernel.of.mu Gives an easy way to check whether Criterion (ii) of Lemma 6.5.1 (in the same book as above) is satisfied. Kummer.pro Gives a program which makes use of the formulae and procedures constructed in the programs Kummer to check the results of Section 6 of Chapter 3, "The Kummer surface", in the same book as above. DIRECTORY misc Contains the file: people Gives the e-mail addresses of people who have either recently published work in genus 2, or are currently working on problems in genus 2. DIRECTORY out.of.date This directory contains some old files from the days when I was using a slightly different embedding of the jacobian variety. I suggest that you don't bother with these files. DIRECTORY qderived Contains the file: appendix.ps This is an appendix (in postscript) to the article: "On Q-Derived Polynomials", to appear in Proc. Edinburgh Math. Soc. It only makes sense if read in conjunction with that article! DIRECTORY rank.tables Contains the file: ranks1 This currently contains only those ranks for which descriptions of the computations have been published. I shall at some stage include other ranks which have been computed, once I have decided on a good reader-verification format. That is to say, a concise piece of information which the reader can use to check the correctness of the rank computation. DIRECTORY typos Contains the file: first.edition.first.printing This gives typo corrections for the first edition, first printing of "Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2", by J.W.S. Cassels and E.V. Flynn (CUP, 1996).