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References
Bingener, J., Storch, U.: Berechnung der Divisorenklassengruppen kompletter lokaler Ringe. Nova Acta Leopoldina (NF)52, Nr. 240, 7–63 (1981)
Bruns, W.: Die Divisorenklassengruppe der Restklassenringe von Polynomringen nach Determinantenidealen. Rev. Roum. Math. Pures Appl.20, 1109–1111 (1975)
Bruns, W.: The canonical module of a determinantal ring. Commutative Algebra: Durham 1981. In: London Math. Soc. Lecture Notes72, pp. 109–120, Cambridge. Cambridge University Press 1982
Bruns, W.: The existence of generic free resolutions and related objects (to appear)
Buchsbaum, D.A., Eisenbud, D.: What makes a complex exact. J. Algebra25, 259–268 (1973)
Buchsbaum, D.A., Eisenbud, D.: Some structure theorems for finite free resolutions. Adv. Math.12, 84–139 (1974)
De Concini, D., Eisenbud, D., Procesi, C.: Hodge algebras. Astérisque 91.
De Concini, C., Strickland, E.: On the variety of complexes. Adv. Math.41, 57–77 (1981)
Eagon, J.A., Northcott, D.G.: Generically acyclic complexes and generically perfect ideals. Proc. Royal Soc. A299, 147–172 (1969)
Fossum, R.M.: The divisor class group of a Krull domain. Berlin, Heidelberg, New York: Springer 1973
Herzog, J., Kunz, E.: Der kanonische Modul eines Cohen-Macaulay-Rings. In: Lecture Notes in Mathematics. Vol. 238, Berlin, Heidelberg, New York: Springer 1971
Hochster, M.: Grassmannians and their Schubert subvarieties are arithmetically Cohen-Macaulay. J. Algebra25, 40–57 (1973)
Hochster, M.: Topics in the homological theory of modules over commutative rings. C.B.M.S. Regional Conference Series in Mathematics. 24. Providence, R.I.: Am. Math. Soc. 1975
Hochster, M., Eagon, J.A.: Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci. Am. J. Math.53, 1020–1058 (1971)
Huneke, C.: The arithmetic perfection of Buchsbaum-Eisenbud varieties and generic modules of projective dimension two. Trans. Am. Math. Soc.265, 211–233 (1981)
Kempf, G.: Images of homogenous vector bundles and varieties of complexes. Bull. Am. Math. Soc.81, 900–901 (1975)
Matsumura, H.: Commutative algebra. New York: Benjamin 1970
Northcott, D.G.: Finite free resolutions. Cambridge Tracts in Mathematics 71. Cambridge: Cambridge University Press 1975
Peskine, C., Szpiro, L.: Dimension projective finie et cohomologie locale. Publications Mathématiques42, 47–119 Bures-Sur-Y vette: Institute des Hautes Etudes Scientifiques 1973
Watanabe, K.: On tensor products of Gorenstein rings. J. Math. Kyoto Univ.9, 413–423 (1969)
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Bruns, W. Divisors on varieties of complexes. Math. Ann. 264, 53–71 (1983). https://doi.org/10.1007/BF01458050
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DOI: https://doi.org/10.1007/BF01458050