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Tikhon Rybakov
Tikhon Rybakov

Algebra 2007 Gdz ((HOT))


H. Hida, On the values of Hecke's L-functions at non-positive integers, J. Math. Soc. Japan, 30 (1978), 249-278 [Euclid site]H. Hida, On abelian varieties with complex multiplication as factors of the abelian variety attached to Hilbert modular forms, Japan. J. Math. (new series) 5 (1979), 157-208[Jstage site] (Master thesis)H. Hida, On abelian varieties with complex multiplication as factors of the jacobians of Shimura curves, Amer. J. Math. 103 (1981), 727-776 (Doctral Thesis)[JSTOR site] (pdf, subscription necessay to download)H. Hida, Congruences of cusp forms and special values of their zeta functions, Inventiones Math. 63 (1981), 225-261, reprint:[Springerlink], [GDZ site](pdf file)H. Hida, On congruence divisors of cusp forms as factors of the special values of their zeta functions, Inventiones Math. 64 (1981), 221-262,reprint:[Springerlink], [GDZ site](pdf file)H. Hida, Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms, Inventiones Math. 66 (1982), 415-459, reprint: [Springerlink],[GDZ site](pdf file)K. Doi, H. Hida and Y. Maeda, Transformation equations and the special values of Shimura's zeta functions, Hokkaido Math. J. 13 (1984), 347-361 [Euclid site]H. Hida, A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Inventiones Math. 79 (1985), 159-195, reprint:[Springerlink],[GDZ site]H. Hida, Congruences of cusp forms and Hecke algebras, Sem. de Theorie des Nombres, Paris 1983-84, Progress in Math. 59 (1985) 133-146 [pdf] (scanned pdf file).H. Hida, Convolution de Rankin p-adique, Sem. de Theorie des Nombres de Bordeaux 1984-85 Expose no.13 [GDZ site] (pdf file)H. Hida, Iwasawa modules attached to congruences of cusp forms,Ann. Scient. Ec. Norm. Sup. 4th series 19 (1986), 231-273 [Numdum site] (pdf file)H. Hida, Galois representations into GL_2(Z_p[[X]]) attached to ordinary cusp forms,Inventiones Math. 85 (1986), 545-613, reprint[Springerlink],[GDZ site] (pdf file)H. Hida, Hecke algebras for GL_1 and GL_2, Sem. de Theorie des Nombres, Paris 1984-85, Progress in Math. 63 (1986), 131-163 [scanned pdf]H. Hida, On p-adic Hecke algebras for GL_2, Proc. International Congress of Mathematicians, 1986, 434--443,reprint [pdf]H. Hida, A p-adic measure attached to the zeta functions associated with two elliptic modular forms II, Ann. l'institut Fourier 38 (1988), 1-83[Numdam site] (pdf file)H. Hida, Modules of congruence of Hecke algebras and L-functions associated with cusp forms, Amer. J. Math. 110 (1988), 323--382[JSTOR] (pdf file, subscription to JSTOR necessary)H. Hida, On p-adic Hecke algebras for GL_2 over totally real fields, Ann. of Math. 128 (1988), 295--384[JSTOR] (pdf file, subscription to JSTOR necessary)H. Hida, On nearly ordinary Hecke algebras for GL(2) over totally real fields, Advanced Studies in Pure Math. 17 (1989), 139-169 [Euclid site]H. Hida, Nearly ordinary Hecke algebras and Galois representations of several variables, Proc. JAMI Inaugural Conference, Supplement to Amer. J. Math. (1989), 115-134 [scanned pdf]H. Hida, Theory of p-adic Hecke algebras and Galoisrepresentations, Sugaku Expositions 2 (1989), 75-102, original Japanese version from Sugaku [pdf]H. Hida, Le produit de Petersson et de Rankin p-adique, Sem. Theorie de Nombre de Paris, 1988-89, 87-102 [scanned pdf]H. Hida, p-adic L-functions for base change lifts of GL_2 to GL_3, in Proc. of Conference on "Automorphic forms, Shimuravarieties, and $L$--functions",Perspectives in Math. 11 (1990), 93-142[Book copy at Milne's web page]H. Hida and J. Tilouine, Katz p-adic L-functions, congruence modules and deformation of Galois representations, Proc. LMS Symposium on ``L-functions and arithmetic'', Durham, England, July 1989, LMS Lecture notes series153 (1991), 271-293, [pdf]H. Hida, On p-adic L-functions of GL(2) x GL(2) over totallyreal fields, Ann. Inst. Fourier 41 (1991), 311-391[Numdam] (pdf file)H. Hida and J. Tilouine, Anti-cyclotomic Katz p-adic L-functions and congruence modules, Ann. Scient. Ec. Norm.Sup. 26 (1993), 189--259 [Numdam] (pdf file)H. Hida, p-Ordinary cohomology groups for SL(2) over numberfields, Duke Math. J. 69 (1993), 259-314[Euclid site] (pdf file)H. Hida and J. Tilouine, On the anti-cyclotomic main conjecture for CM fields,Inventiones Math. 117 (1994), 89-147 [Springerlink],[GDZ site](pdf file)H. Hida, On the critical values of L-functions of GL(2) andGL(2) x GL(2), Duke Math. J. 74 (1994), 431-529[Euclid site] (pdf file)H. Hida, p-Adic ordinaryHecke algebrasfor GL(2), Ann. l'insitut Fourier 44 (1994), 1289-1322 [Numdam] (p df file)H. Hida, Modular p-adic L-functions and p-adic Hecke algebras, Amer. Math. Soc. Transl. 160 (1994), 125-154H. Hida, On Lambda-adic forms of half integral weight for SL(2),in Number Theory, Paris, Lecture notes series of LMS 215 (1995), 139-166[pdf] (scanned pdf), [Cambridge site].H. Hida, Control theorems of p-nearly ordinary cohomology groupsfor SL(n), in Bull. Soc. Math. Fr. 123 (1995), 425-475,[pdf]reprint from Numdam collection




algebra 2007 gdz



H. Hida, L-invariant of p-adic L-functions, in"THE CONFERENCE ON L-FUNCTIONS" pp.17--53, 2007 (the notes of Lectures at Kyushu university and Harvard university, 2/06-5/06;[World Scientific web page on this book]),a preprint-version: [pdf],


H. Hida, Vanishing of the mu-Invariant of p-Adic Hecke L-functions, Compositio Math. 147 (2011), 1151-1178,reprint [pdf].H. Hida, Hecke fields of analytic families of modular forms, J. Amer. Math. Soc. 24 (2011), 51-80,reprint from AMS: [pdf].H. Hida, Constancy of adjoint L-invariant, Journal of Number Theory 131 (2011) 1331-1346, doi:10.1016/j.jnt.2011.02.001,[pdf] (reprint from JNT).H. Hida, Irreducibility of the Igusa tower over unitary Shimura varieties,Clay Mathematics Proceedings 13 (2011), 187-203(reprint: [pdf]).H. Hida, A finiteness property of abelian varieties with potentially ordinary good reduction,J. Amer. Math. Soc. 25 (2012), 813-826, an offprint pdf file [pdf], an addendum [pdf].H. Hida, Transcendence of Hecke operators in the big Hecke algebra, Duke Math. J. 163 (2014), 1655-1681, a link to Euclid site[pdf]. H. Hida, Image of Lambda-adic Galois representations modulo p, Inventiones Math. 194 (2013), 1-40, a link to Springer link[pdf]. H. Hida, Lambda-adic Barsotti-Tate groups, Pacific J. Math. 268 (2014), 283-312,an offprint [pdf].H. Hida, Hecke fields of Hilbert modular analytic families, Contemporary Mathematics,Vol. 614 (2014), 97-137, an offprint [pdf], AMS web page for the book [htm]


Loosely speaking the notion of Puppe exact categories is that of abelian categories without the requirement of additivity. The remaining exactness properties still permit a considerable amount of homological algebra.


The notion of Puppe exact categories was introduced by Puppe (1962) as a weakening of the notion of abelian categories. Their homological algebra was studied by Mitchell (1965). They were extensively used by Marco Grandis in his work on distributive homological algebra in the 1980s. 041b061a72


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