
We deal with classes of prime ideals whose associated graded ring is isomorphic to the Rees algebra of the conormal module in order to describe the divisor class group of the Rees algebra and to examine the normality of the conormal module.
This paper is based on the Ph.D. dissertation of the author
Algebra and Number Theory, Cohen-Macaulay ring, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gorenstein local ring, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13H10, 13B21, 13C20, Class groups, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, associated graded ring, FOS: Mathematics, Integral dependence in commutative rings; going up, going down
Algebra and Number Theory, Cohen-Macaulay ring, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gorenstein local ring, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13H10, 13B21, 13C20, Class groups, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, associated graded ring, FOS: Mathematics, Integral dependence in commutative rings; going up, going down
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