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Description: |
The talk will be about joint work in progress with Janko Boehm (Saarbruecken) concerning the structure of Stanley--Reisner rings associated to cyclic polytopes. In more detail, denote by \Delta C_d(m) the boundary simplicial complex of the d-dimensional cyclic polytope which has m vertices. I will talk about how, using ideas from unprojection theory, the Stanley-Reisner ring of \Delta C_d(m+1) can be expressed in terms of the Stanley--Reisner rings of \Delta C_d(m) and \Delta C_{d-2}(m-1). As an application, this can be used to inductively calculate the minimal graded free resolutions of these rings.
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