Tautological systems under the conifold transition on G(2, 4)

Tsung Ju Lee, Hui Wen Lin

Research output: Contribution to journalArticlepeer-review


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).

Original languageEnglish
Pages (from-to)501-526
Number of pages26
JournalAsian Journal of Mathematics
Issue number3
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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