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Local Cohomology

Local Cohomology

This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovoā€“Mumford regularity, the Fultonā€“Hansen connectedness theorem for projective varieties, and connections between ā€¦