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math.AC2018
The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities o…
math.AC2018★ 1 cited
Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals
Kriti Goel, Sudeshna Roy, J. K. Verma
Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for -graded good filtrations. These analogues yield bounds on joint reduction vectors for a fa…