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A local cohomology obstruction to small Cohen--Macaulay modules

Chen, Liang
arXiv (All) · Papers
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14j60algebraic-geometrycommutative-algebra
We propose a local-cohomology obstruction to the existence of small Cohen--Macaulay modules over completed section rings of surfaces. Let $Y$ be a smooth connected complex projective surface, and let $H$ be an ample globally generated divisor with $K_Y\equiv4H$ numerically. Put $c(Y,H)=15H^2/8-χ(\OO
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