Geodesic
Ranks of Chain Complexes Over the Complex Polynomial Ring
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 563-565

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DOI

Using LePotier's vanishing theorem, we establish a lower bound on the rank of nontrivial free differential complex in terms of the dimension of the support for its cohomology. Our bound specializes to the one predicted by the syzygy theorem of Evans and Griffith.
DOI : 10.4153/CMB-1991-089-2
Mots-clés : 13D25, 14C30, 14F05 
Zelewski, Piotr M. Ranks of Chain Complexes Over the Complex Polynomial Ring. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 563-565. doi: 10.4153/CMB-1991-089-2
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     author = {Zelewski, Piotr M.},
     title = {Ranks of {Chain} {Complexes} {Over} the {Complex} {Polynomial} {Ring}},
     journal = {Canadian mathematical bulletin},
     pages = {563--565},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-089-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-089-2/}
}
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