A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags

作者：Hein Nickolas^*; Sottile Frank; Zelenko Igor

来源：Canadian Mathematical Bulletin, 2017, 60(2): 309-318.

DOI：10.4153/CMB-2016-087-2

• Lagrangian Grassmannian
• Wronski map
• Shapiro Conjecture

We previously obtained a congruence modulo four for the number of real solutions to many Schubert problems on a square Grassmannian given by osculating flags. Here we consider Schubert problems given by more general isotropic flags, and prove this congruence modulo four for the largest class of Schubert problems that could be expected to exhibit this congruence.

• 出版日期2017-6