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Elliptic Genera and Stringy complete intersections
Qingtao Chen, Fengling Han
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Rational Complete Intersections
The Quarterly Journal of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. BALLICO, COSSIDENTE, Antonio
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Quadratic complete intersections
Journal of Algebra, 2021The paper studies Betti numbers of graded finitely generated modules over a quadratic complete intersection. Let \(k\) be a (algebrically closed) field of characteristic not \(2\), and let \(K = k(z_1,\ldots, z_m)\) be the field of rational functions in \(m\) variables over \(k\).
Eisenbud, David +2 more
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Criteria for Complete Intersections
1997In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11].
de Smit, B., Rubin, K., Schoof, R.
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On intersections of complete intersection ideals
Journal of Pure and Applied Algebra, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimpoeaş, Mircea, Stamate, Dumitru I.
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Criteria for Complete Intersections
Journal of the London Mathematical Society, 1985The first section of this paper gives the following improvement of a result of Faltings. Let (R,m) be a regular local ring and let I be an equidimensional ideal of R of \(height\quad g.\) Assume that \(I_ p\) is a complete intersection for all \(p\neq m\) and that dim R\(>\ell (I)-1+2g\) where \(\ell (I)\) is the analytic spread of I.
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Complete Intersection Flat Dimension and the Intersection Theorem
Algebra Colloquium, 2012Any finitely generated module M over a local ring R is endowed with a complete intersection dimension CI-dim RM and a Gorenstein dimension G-dim RM. The Gorenstein dimension can be extended to all modules over the ring R. This paper presents a similar extension for the complete intersection dimension, and mentions the relation between this dimension ...
Sahandi, Parviz +2 more
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Projective Modules and Complete Intersections
K-Theory, 1998In a widely spread preprint version of a paper, this reviewer [see \textit{S. Mandal}, Math. Z. 227, No. 3, 423-454 (1998)] posed the following question: Question 0.1. Suppose \(A\) is a noetherian commutative ring with \(\dim A=n\). Let \(P\) be a projective \(A\)-module of rank \(n\).
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