We formulate several conjectures which shed light on the structure of Veronese syzygies of projective spaces. These conjectures are motivated by experimental data that we derived from a high-speed high-throughput computation of multigraded Betti numbers based on numerical linear algebra.
Bibliographical noteFunding Information:
JB received support from the NSF GRFP under grant DGE-1256259, and from the Graduate School and the Office of the Vice Chancellor for Research and Graduate Education at the University of Wisconsin-Madison with funding from the Wisconsin Alumni Research Foundation. DE received support from NSF grant DMS-1601619. JY received support from NSF grant DMS-1502553.