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Tautological systems under the conifold transition on $G(2, 4)$ by Lee, Tsung-Ju; Lin, Hui-Wen is a scholarly article available to read on EtoBox.

What is Tautological systems under the conifold transition on $G(2, 4)$ about?

Via a natural degeneration of Grassmannian manifolds $G(k,n)$ to Gorenstein toric Fano varieties $P(k,n)$ with conifold singularities, we suggest an approach to study the relation between the tautological system on $G(k,n)$ and the extended GKZ system on the small resolution $\hat{P}(k,n)$ of $P(k,n)$. We carry out the simplest case $(k,n)=(2,4)$ to ensure its validity and show that the extended GKZ system can be regarded as a tautological system on $\hat{P}(2,4)$.

Author

Lee, Tsung-Ju; Lin, Hui-Wen

Published

2016

Language

EN