Geodesic
A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 309-318

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DOI

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.
DOI : 10.4153/CMB-2016-087-2
Mots-clés : 14N15, 14P99, Lagrangian Grassmannian, Wronski map, Shapiro Conjecture 
Hein, Nickolas; Sottile, Frank; Zelenko, Igor. A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 309-318. doi: 10.4153/CMB-2016-087-2
@article{10_4153_CMB_2016_087_2,
     author = {Hein, Nickolas and Sottile, Frank and Zelenko, Igor},
     title = {A {Congruence} {Modulo} {Four} for {Real} {Schubert} {Calculus} with {Isotropic} {Flags}},
     journal = {Canadian mathematical bulletin},
     pages = {309--318},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-087-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-087-2/}
}
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