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Arithmetically Cohen–Macaulay bundles on complete intersection varieties of sufficiently high multidegree
被引:0
|作者:
Jishnu Biswas
G. V. Ravindra
机构:
[1] Indian Statistical Institute,Theoretical Statistics and Mathematics Unit
[2] Indian Institute of Science,Department of Mathematics
[3] University of Missouri,Department of Mathematics and Computer Science
来源:
Mathematische Zeitschrift
|
2010年
/
265卷
关键词:
Exact Sequence;
Vector Bundle;
Line Bundle;
Complete Intersection;
Chern Class;
D O I:
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中图分类号:
学科分类号:
摘要:
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.
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页码:493 / 509
页数:16
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