Mathematics – Algebraic Geometry
Scientific paper
2010-05-21
Mathematische Zeitschrift, Volume 265, Number 3 / July, 2010 pages 493-509
Mathematics
Algebraic Geometry
15 pages
Scientific paper
10.1007/s00209-009-0526-7
Recently it has been proved that any arithmetically Cohen-Macaulay (ACM) bundle of rank two on a general, smooth hypersurface of degree at least three and dimension at least four is a sum of line bundles. When the dimension of the hypersurface is three, a similar result is true provided the degree of the hypersurface is at least six. We extend these results to complete intersection subvarieties by proving that any ACM bundle of rank two on a general, smooth complete intersection subvariety of sufficiently high multi-degree and dimension at least four splits. We also obtain partial results in the case of threefolds.
Biswas Jishnu
Ravindra G. V.
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