Multiplicity of the fat point in differential algebra

  • Rida Ait El Manssour
E1 05 (Leibniz-Saal)


While the concept of multiplicity is essential in the intersection theory, there is no such analogue for solutions of differential algebraic equations. In this talk I will motivate the definition of the multiplicity of a solution as the growth rate of the multiplicities of its truncations by considering the differential ideal of the fat point $x^m$. At the end I will briefly discuss some combinatoric connections between the multiplicity structure of the arc space of a fat point and Rogers-Ramanujan partition identities.

This is an ongoing project with Gleb Pogudin.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

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