the.bib

@misc{I-1,
  author = {H. Cartan and C. Chevalley},
  title = {S\'eminaire de l'\'Ecole Normale Sup\'erieure, 8th year (1955--56), G\'eom\'etrie alg\'ebrique}}

@book{I-2,
  author = {H. Cartan and S. Eilenberg},
  title = {Homological {A}lgebra},
  publisher = {Princeton Math. Series (Princeton University Press)},
  year = {1956}}

@article{I-3,
  author= {W. L. Chow and J. Igusa},
  title = {Cohomology theory of varieties over rings},
  journal = {Proc. Nat. Acad. Sci. U.S.A.},
  volume = {XLIV},
  pages = {1244--1248},
  year = {1958}}

@book{I-4,
  author = {R. Godement},
  title = {Th\'eorie des faisceaux},
  publisher = {Actual. Scient. et Ind., no. 1252, Paris (Hermann)},
  year = {1958}}

@misc{I-5,
  author = {H. Grauert},
  title = {Ein {T}heorem der analytischen {G}arbentheorie und die {M}oldulr\"aume komplexer {S}trukturen},
  howpublished = {Publ. Math. Inst. Hautes \'Etudes Scient., no. 5},
  year = {1960}}

@article{I-6,
  author = {A. Grothendieck},
  title = {Sur quelques points d'alg\`ebre homologique},
  journal = {T\^ohoku Math. Journ.},
  volume = {IX},
  pages = {119--221},
  year = {1957}}

@article{I-7,
  author = {A. Grothendieck},
  title = {Cohomology theory of abstract algebraic varieties},
  journal = {Proc. Intern. Congress of Math., Edinburgh},
  pages = {103--118},
  year = {1958}}

@misc{I-8,
  author = {A. Grothendieck},
  title = {G\'eom\'etrie formelle et g\'eom\'etrie alg\'ebrique},
  howpublished = {S\'eminaire Bourbaki, 11th year (1958--59), expos\'e 182}}

@article{I-9,
  author = {M. Nagata},
  title = {A general theory of algebraic geometry over {D}edekind domains},
  journal = {Amer. Math. Journ.},
  volume = {I: LXXVIII, II: LXXX},
  pages= {78--116, 382--420},
  year= {1956, 1958}}

@book{I-10,
  author = {D. G. Northcott},
  title = {Ideal theory},
  publisher = {Cambridge Univ. Press},
  year = {1953}}

@misc{I-11,
  author = {P. Samuel},
  title = {Commutative algebra (Notes by {D}. {H}erzig)},
  publisher = {Cornell Univ.},
  year = {1953}}

@book{I-12,
  author = {P. Samuel},
  title = {Alg\`ebre locale},
  publisher = {M\'em. Sci. Math., no. 123, Paris},
  year = {1953}}

@book{I-13,
  author = {P. Samuel and O. Zariski},
  title = {Commutative algebra, 2 vol.},
  publisher = {New York (Van Nostrand)},
  year = {1958--60}}

@article{I-14,
  author = {J.-P. Serre},
  title = {Faisceaux alg\'ebriques coh\'erents},
  journal = {Ann. of Math.},
  volume = {LXI},
  pages = {197--278},
  year = {1955}}

@article{I-15,
  author = {J.-P. Serre},
  title = {Sur la cohomologie des vari\'et\'es alg\'ebriques},
  journal = {Journ. of Math. (9)},
  volume = {XXXVI},
  pages = {1--16},
  year = {1957}}

@article{I-16,
  author = {J.-P. Serre},
  title = {G\'eom\'etrie alg\'ebrique and g\'eom\'etrie analytique},
  journal = {Ann. Inst. Fourier},
  volume = {VI},
  pages = {1--42},
  year = {1955--56}}

@article{I-17,
  author = {J.-P. Serre},
  title = {Sur la dimension homologique des anneaux et des modules {N}oeth\'eriens},
  journal = {Proc. Intern. Symp. on Alg. Number theory, Tokyo--Nikko},
  pages = {176--189},
  year = {1955}}

@book{I-18,
  author = {A. Weil},
  title = {Foundations of algebraic geometry},
  publisher = {Amer. Math. Soc. Coll. Publ., no. 29},
  year = {1946}}

@article{I-19,
  author = {A. Weil},
  title = {Numbers of solutions of equations in finite fields},
  journal = {Bull. Amer. Math. Soc.},
  volume = {LV},
  pages = {497--508},
  year = {1949}}

@book{I-20,
  author = {O. Zariski},
  title = {Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields},
  publisher = {Mem. Amer. Math. Soc., no. 5},
  year = {1951}}

@article{I-21,
  author = {O. Zariski},
  title = {A new proof of {H}ilbert's {N}ullstellensatz},
  journal = {Bull. Amer. Math. Soc.},
  volume = {LIII},
  pages = {362--368},
  year = {1947}}

@article{I-22,
  author = {E. K{\"a}hler},
  title = {Geometria {A}rithmetica},
  journal = {Ann. di Mat. (4)},
  volume = {XLV},
  pages = {1--368},
  year = {1958}}

@book{II-23,
  author = {C. Chevalley},
  title = {Introduction to the theory of algebraic functions of one variable},
  publisher = {Amer. Math. Soc., New York},
  series = {Math. Surveys},
  volume = {6},
  year = {1951}}

@book{II-24,
  author = {P. Jaffard},
  title = {Les syst{\`e}mes d'id{\'e}aux},
  publisher = {Paris (Dunod)},
  year = {1960}}

@article{II-25,
  author = {M. Nagata},
  title = {On the derived normal rings of Noetherian integral domains},
  journal = {Mem. Coll. Sci. Kyoto},
  volume = {A, XXIX},
  year = {1955},
  pages = {293--303}}

@article{II-26,
  author = {M. Nagata},
  title = {Existence theorems for non projective complete algebraic varieties},
  journal = {Ill. J. Math},
  volume = {II},
  year = {1958},
  pages = {490--498}}

@phdthesis{III-27,
  author = {P. Gabriel},
  title = {Des cat\'egories ab\'eliennes},
  school = {Paris},
  year = {1961}}

@article{III-28,
  author = {J. E. Roos},
  title = {Sur les foncteurs d\'eriv\'es de $\varprojlim$. Applications},
  journal = {C. R. Acad. Sci. Paris},
  volume = {CCLII},
  pages = {3702--3704},
  year = {1961}}

@misc{III-29,
  author = {H. Cartan},
  title = {S\'eminaire de l'\'Ecole Normale Sup\'erieure, 13th year (1960--61), expos\'e no 11}}

@book{IV-30,
  author = {M. Nagata},
  title = {Local rings},
  publisher = {Interscience, New York},
  series = {Interscience Tracts},
  volume = {13},
  year = {1962}}
  
@misc{IV-42,
  author = {M. Demazure et A. Grothendieck},
  title = {Sch\'emas en groupes},
  publisher = {Institut des Hautes \'Etudes Scientifiques, Bures-sur-Yvette},
  series = {S\'eminaire de G\'eometrie alg\'ebrique},
  year = {1963--1964}}