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BIRS Workshop Lecture Videos

Shapes of the simplest minimal free resolutions in \(\mathbb P^1\times \mathbb P^1\) Botbol, Nicolas


In this talk, our goal is to give a detailed description of the (multi)graded minimal free resolution of an ideal \(I\) of \(R\), generated 3 bihomogeneous polynomials defined by \(\mathbf {f} = (f_1, f_2, f_3) \) with bidegree \( (d_1, d_2) \), \( d_i> 0 \) and such that \( V (I) \) is empty in \( \mathbb{P}^1 \times \mathbb{P}^1\). We will precise the shape of the resolution in degree \(d=(1,n)\), and explain how non-genericity (factorization) of the \(f_i\)'s determine the resolution.
This is a joint work with A. Dickenstein and Hal Schenck.

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