Document Type

Article

Publication Date

9-11-2012

DOI

http://dx.doi.org/10.1080/10586458.2012.661323

Abstract

We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian is transverse with all points real if the flags defining the Schubert varieties are secant along disjoint intervals of a rational normal curve. We present theoretical evidence for this conjecture as well as computational evidence obtained in over one terahertz-year of computing, and we discuss some of the phenomena we observed in our data.

Copyright Statement

This is an electronic version of an article published in Experimental Mathematics, 21(3), 2012. Experimental Mathematics is available online at: www.tandfonline.com. DOI: 10.1080/10586458.2012.661323

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