Download Linear Algebra - Project References | Math 6 and more Study Guides, Projects, Research Linear Algebra in PDF only on Docsity!
References
[Ah78] L. Ahlfors, Complex Variables, 3rd Edit. Internat. Series in Pure and Applied Math., McGraw Hill, 1978. [An98] Y. Andr´e, Finitude des couples d’invariants modulaires singuliers sur une courbe alg´ebrique plane non modulaire, Crelle’s J. 505 (1998), 203–208. [BFr02] P. Bailey and M. D. Fried, Hurwitz monodromy, spin separation and higher levels of a Modular Tower, in Proceed. of Symposia in Pure Math. 70 (2002) editors M. Fried and Y. Ihara, 1999 von Neumann Symposium, August 16-27, 1999 MSRI, 79–221. [Ben91] D.J. Benson, I: Basic representation theory of finite groups and associative algebras, Cambridge Studies in advanced math., vol. 30, Cambridge U. Press, Cambridge, 1991. [Be97] G. Berger, Fake Congruence Modular Curves and Subgroups of the Modular Group, J. Alg. 214 no. 1 (1999) , 276–300. [Br82] K. Brown, Cohomology of groups, Grad. texts in Math. 97 , 1982. [Cad05a] Anna Cadoret, Harbater-mumford subvarieties of moduli spaces of covers, Math. Ann. 333, No. 2 (2005), 355–391. [CadT08] A. Cadoret and A. Tamagawa, Uniform boundedness of p-primary torsion on Abelian Varieties, preprint as of April 2008, at http://www.math.uci.edu/˜mfried/othlist- mt.pdf [Cau08] O. Cau, Un Critere pour relever uniquement les composantes uniquement les com- posantes HM dans la Tour Modulaire, http://www.math.uci.edu/˜mfried/othlist- mt.pdf [D06] P. Debes, Modular Towers: Construction and Diophantine Questions, same vol. as [Fr06]. [Def-Lst] Select from the list in www.math.uci.edu/conffiles rims/deflist-mt/full-deflist-mt.html of present MT-related definitions. 09/05/06 examples: Branch-Cycle-Lem CFPV-Thm Cusp-Comp-Tree FS-Lift-Inv Hurwitz-Spaces Main-MT-Conj Modular-Towers Nielsen- Classes RIGP Strong-Tors-Conj mt-rigp-stc p-Poincare-Dual sh-Inc-Mat. A similar URL, www.math.uci.edu/conffiles rims/deflist-mt/full-paplist-mt.html, is a repository for not just mine, but also of the growing list of those joining the MT project. [DDe04] P. Debes and B. Deschamps, Corps ψ-libres et th´eorie inverse de Galois infinie, J. f¨ur die reine und angew. Math. 574 (2004), 197– [DEm04] P. Debes and M. Emsalem, Harbater-Mumford Components and Hurwitz Towers, J. Inst. of Mathematics of Jussieu (5/03, 2005), 351–371. [Em06] M. Emsalem, Groupoide fondamental de courbes stables, preprint. [DFr94] P. D`ebes and M. D. Fried, Nonrigid constructions in Galois Theory, Pac. J. Math 163 (1994), 81–122. [Fr77] M. Fried, Fields of definition of function fields and Hurwitz families and groups as Galois groups, Communications in Algebra 5 (1977), 17–82. [Fr78] M. Fried, Galois groups and Complex Multiplication, Trans. A.M.S. 235 (1978), 141–
[Fr92] M. Fried, review–Topics in Galois Theory, J.-P. Serre, 1992, Bartlett and Jones Publishers, BAMS 30 #1 (1994), 124–135. ISBN 0-86720-210-6. [Fr95] M. D. Fried, Introduction to Modular Towers: Generalizing the relation between dihe- dral groups and modular curves, Proceedings AMS-NSF Summer Conference, vol. 186, 1995, Cont. Math series, Recent Developments in the Inverse Galois Problem, 111–171. [Fr02] , Moduli of relatively nilpotent extensions, Communications in Arithmetic Fun- damental Group, Inst. of Math. Science Analysis, vol. 1267, RIMAS, Kyoto, Japan, 2002, pp. 70–94. [Fr05] M. D. Fried, The place of exceptional covers among all diophantine relations, J. Finite Fields 11 (2005) 367–433, www.math.uci.edu/˜mfried/#math. [Fr06] M. D. Fried, The Main Conjecture of Modular Towers and its higher rank generaliza- tion, in Groupes de Galois arithmetiques et differentiels (Luminy 2004; eds. D. Bertrand and P. Debes), Seminaires et Congres, Vol. 13 (2006), 165–230. www.math.uci.edu/˜mfried/talkfiles/lum03-12-04.html has related talk and pdf files. [Fr07] M. D. Fried, Regular realizations of p-projective quotients and modular curve-like tow- ers, Oberwolfach report #25, on the conference on pro-p groups, April (2006), 6467, http://www.mfo.de/cgi-bin/path?cgi- bin/tagungsdb?type=21&tnr=0621.
[Fr08a] M. D. Fried, Alternating groups and moduli space lifting invariants, to be published in Israel J., http://www.math.uci.edu/˜mfried/paplist-cov.html Item #. [Fr08b] M. D. Fried, Connectedness of families of sphere covers of An-Type, http://www.math.uci.edu/˜mfried/paplist-mt.html Item #. [Fr08c] M. D. Fried, Variables Separated Equations and Finite Simple Groups, http://www.math.uci.edu/˜mfried/paplist-cov.html Item #. [Fr08d] M. D. Fried, Database of Hurwitz space and Modular Tower definitions, http://www.math.uci.edu/˜mfried/deflist-cov.html and http://www.math.uci.edu/˜mfried/deflist-mt.html [Fr09] M. D. Fried, Riemann’s existence theorem: An elementary approach to moduli, To access 5 of the 6 chapters go to http://www.math.uci.edu/˜mfried/booklist-ret.html [FrK97] M. Fried and Y. Kopeliovic, Applying Modular Towers to the inverse Galois problem, Geometric Galois Actions II Dessins d’Enfants, Mapping Class Groups... , vol. 243, Cambridge U. Press, 1997, London Math. Soc. Lecture Notes, 172–197. [FrJ04] M. Fried and M. Jarden, Field arithmetic, Ergebnisse der Mathematik III, 11 , Springer Verlag, Heidelberg, 1986; new edition 2004 ISBN 3- 540-22811-x. [FK97] M. Fried and Y. Kopeliovic, Applying Modular Towers to the inverse Galois problem, Geometric Galois Actions II Dessins d’Enfants, Mapping Class Groups and Moduli, vol. 243, Cambridge U. Press, 1997, London Math. Soc. Lecture Notes, pp. 172–197. [FV91] M. Fried and H. V¨olklein, The inverse Galois problem and rational points on moduli spaces, Math. Annalen 290 (1991), 771–800. [FV92] M. Fried and H. V¨olklein, The embedding problem over an Hilbertian PAC field, Annals of Math. 135 (1992), 469–481. [Ha84] D. Harbater, Mock covers and Galois extensions, J. Alg. 91 (1984), 281–293. [Iha86] Y. Ihara, Profinite braid groups, Annals of Math. 123 (1986), 43–106. [IM95] Y. Ihara and M. Matsumoto, On Galois actions on profinite completions of braid groups, Proceedings AMS-NSF Summer Conference, vol. 186, 1995, Cont. Math series, Recent Developments in the Inverse Galois Problem, 173–200. [LOs08] F. Liu and B. Osserman, The Irreducibility of Certain Pure-cycle Hurwitz Spaces, to appear, Amer. J. Math. # 6 , vol. 130 (2008). [MShStV] Braid program by K. Magaard, S. Shpectorov, R. Staszewski and H. Voelklein. Biblio- graphical references: (1) K. Magaard, S. Shpectorov and H. Voelklein, A GAP package for braid orbit computations and applications, Experimental Math.,12, 2003 and (2) R. Staszewski, H. Voelklein and G. Wiesend, Counting generating systems of a finite group from given conjugacy classes, preprint, 2005. [MM99] G. Malle and B.H. Matzat, Inverse Galois Theory, ISBN 3-540-62890-8, Monographs in Mathematics, Springer,1999. [Mu72] D. Mumford, An analytic construction of degenerating curves over complete local rings, Comp. Math. 24 (1972), 129–174. [Na99] H. Nakamura, Tangential base points and Eisenstein power series, in Aspects of Galois Theory, edited by H. V¨olklein, et. al., Camb. Univ. Press Lect. Notes 256 , 202–218. [R90] K. Ribet, Review of [Ser68], BAMS 22 (1990), 214–218. [Se04a] D. Semmen, Modular representations for modular towers, in this volume. [Se04b] D. Semmen, Jennings’ theorem for p-split groups, J. Alg. 285 (2005), 730–742. [Sem2] , Asymptotics of p-frattini covers and hausdorff dimensions in free pro-p groups, in preparation (2006). [Ser68] J.-P. Serre, Abelian -adic representations and elliptic curves, 1st ed., McGill Univ. Lecture Notes, Benjamin, NY • Amst., 1968, written in collab. with Willem Kuyk and John Labute; 2nd corrected ed. pub. by A. K. Peters, Wellesley, MA, 1998. [Ser90a] J.-P. Serre, Relˆevements dans A˜n, C. R. Acad. Sci. Paris 311 (1990), 477–482. [Ser90b] J.-P. Serre, Revˆetements a ramification impaire et thˆeta-caract´eristiques, C. R. Acad. Sci. Paris 311 (1990), 547–552. [Ser91] J.-P. Serre, Galois Cohomology, translated from the Springer French edition of 1964 by Patrick Ion, 1997, based on the revised (and completed) fifth French edition of 1994. [Ser92] J.-P. Serre, Topics in Galois theory, no. ISBN #0-86720-210-6, Bartlett and Jones Publishers, notes taken by H. Darmon, 1992. [Sh71] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Pub. of Math. Soc. of Japan 11 , Princeton U. Press, 1971.
