Liaison and Castelnuovo-Mumford regularity
Copyright policy )Liaison and Castelnuovo-Mumford regularity
In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our proofs is to show that generic residual intersections of complete intersection rational singularities again have rational singularities. When applied to the theory of residual intersections this circle of ideas also sheds new light on some known classes of free resolutions of residual ideals.
- Sorbonne University France
- Purdue University West Lafayette United States
- Purdue University System United States
- University of Paris France
- French National Centre for Scientific Research France
13D45, 14B05, Linkage, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], free resolution, liaison, Mathematics - Commutative Algebra, 13C40, Commutative Algebra (math.AC), Syzygies, resolutions, complexes and commutative rings, residual intersection, [MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC], 13C40; 14M06; 13D45; 14B05, Mathematics - Algebraic Geometry, rational singularity, FOS: Mathematics, linkage, Linkage, complete intersections and determinantal ideals, Algebraic Geometry (math.AG), Castelnuovo-Mumford regularity, 14M06
13D45, 14B05, Linkage, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], free resolution, liaison, Mathematics - Commutative Algebra, 13C40, Commutative Algebra (math.AC), Syzygies, resolutions, complexes and commutative rings, residual intersection, [MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC], 13C40; 14M06; 13D45; 14B05, Mathematics - Algebraic Geometry, rational singularity, FOS: Mathematics, linkage, Linkage, complete intersections and determinantal ideals, Algebraic Geometry (math.AG), Castelnuovo-Mumford regularity, 14M06
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