TY - JOUR
T1 - Tautological systems under the conifold transition on G(2, 4)
AU - Lee, Tsung Ju
AU - Lin, Hui Wen
N1 - Publisher Copyright:
© 2019 International Press.
PY - 2019
Y1 - 2019
N2 - 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 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 P(2, 4).
AB - 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 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 P(2, 4).
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U2 - 10.4310/AJM.2019.v23.n3.a7
DO - 10.4310/AJM.2019.v23.n3.a7
M3 - Article
AN - SCOPUS:85077632636
SN - 1093-6106
VL - 23
SP - 501
EP - 526
JO - Asian Journal of Mathematics
JF - Asian Journal of Mathematics
IS - 3
ER -