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On the regularity of products and intersections of complete intersections
Authors:Marc Chardin   Nguyen Cong Minh   Ngo Viet Trung
Affiliation:Institut de Mathématiques de Jussieu, CNRS & Université Paris VI, Paris, France ; Department of Mathematics, University of Education, 136 Xuân Thuy, Hanoi, Vietnam ; Institute of Mathematics, Viên Toán Hoc, 18 Hoàng Quôc Viêt, 1037 Hanoi, Vietnam
Abstract:This paper proves the formulae

$displaystyle operatorname{reg}(IJ)$ $displaystyle le operatorname{reg}(I) + operatorname{reg}(J),$    
$displaystyle operatorname{reg}(I cap J)$ $displaystyle le operatorname{reg}(I) + operatorname{reg}(J)$    

for arbitrary monomial complete intersections $ I$ and $ J$, and provides examples showing that these inequalities do not hold for general complete intersections.

Keywords:
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