On the variety of complexes

作者: Corrado De Concini , Elisabetta Strickland

DOI: 10.1016/S0001-8708(81)80004-7

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摘要: Publisher Summary This chapter focuses on the characteristic-free study of Buchsbaum–Eisenbud varieties complexes in detail with use Young diagrams and tableaux to give an explicit basis for . Buchsbaum Eisenbud have studied from point view resolutions proven results variety W(k, 1). A tableau is a filling boxes diagram σ integers out 1,2,…., called shape tableau. The presents proposition that states ach element can be written as linear combination standard multitableaux.

参考文章(12)
Peter Doubilet, Gian-Carlo Rota, Joel Stein, On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory Studies in Applied Mathematics. ,vol. 53, pp. 185- 216 ,(1974) , 10.1002/SAPM1974533185
Elisabetta Strickland, The symplectic group and determinants Journal of Algebra. ,vol. 66, pp. 511- 533 ,(1980) , 10.1016/0021-8693(80)90101-5
George R. Kempf, Images of homogeneous vector bundles and varieties of complexes Bulletin of the American Mathematical Society. ,vol. 81, pp. 900- 902 ,(1975) , 10.1090/S0002-9904-1975-13878-X
Corrado De Concini, Symplectic standard tableaux Advances in Mathematics. ,vol. 34, pp. 1- 27 ,(1979) , 10.1016/0001-8708(79)90061-6
George R. Kempf, On the collapsing of homogeneous bundles Inventiones Mathematicae. ,vol. 37, pp. 229- 239 ,(1976) , 10.1007/BF01390321
C. De Concini, C. Procesi, A characteristic free approach to invariant theory Advances in Mathematics. ,vol. 21, pp. 330- 354 ,(1976) , 10.1016/S0001-8708(76)80003-5
Gerald Allen Reisner, Cohen-Macaulay quotients of polynomial rings Advances in Mathematics. ,vol. 21, pp. 30- 49 ,(1976) , 10.1016/0001-8708(76)90114-6
C. DeConcini, David Eisenbud, C. Procesi, Young diagrams and determinantal varieties Inventiones Mathematicae. ,vol. 56, pp. 129- 165 ,(1980) , 10.1007/BF01392548
Wim H. Hesselink, Desingularizations of Varieties of Nullforms. Inventiones Mathematicae. ,vol. 55, pp. 141- 163 ,(1979) , 10.1007/BF01390087
David A Buchsbaum, David Eisenbud, Generic free resolutions and a family of generically perfect ideals Advances in Mathematics. ,vol. 18, pp. 245- 301 ,(1975) , 10.1016/0001-8708(75)90046-8