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IDEALS OF THE FORM $\textit{I}_1 (XY)$

Abstract : In this paper we compute Gröbner bases for determinantal ideals of the form $\textit{I}I_1 (XY)$, where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers for such ideals.
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https://hal.inria.fr/hal-01829368
Contributor : Alain Monteil <>
Submitted on : Wednesday, July 4, 2018 - 9:13:34 AM
Last modification on : Monday, June 15, 2020 - 11:42:01 AM
Long-term archiving on: : Monday, October 1, 2018 - 10:52:07 AM

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Joydip Saha, Indranath Sengupta, Gaurab Tripathi. IDEALS OF THE FORM $\textit{I}_1 (XY)$. MEGA 2017 - International Conference on Effective Methods in Algebraic Geometry, Jun 2017, Nice, France. ⟨hal-01829368⟩

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