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

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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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Dates and versions

hal-01829368 , version 1 (04-07-2018)

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  • HAL Id : hal-01829368 , version 1

Cite

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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