Title
Pappus's Theorem in Grassmannian (3, ℂ).
Abstract
In this paper we study intersections of quadrics, components of the hypersurface in the Grassmannian Gr (3,C-n) introduced by S. Sawada, S. Settepanella and S. Yamagata in 2017. This lead to an alternative statement and proof of Pappus's Theorem retrieving Pappus's and Hesse configurations of lines as special points in the complex projective Grassmannian. This new connection is obtained through a third purely combinatorial object, the intersection lattice of Discriminantal arrangement.
Year
DOI
Venue
2019
10.26493/1855-3974.1619.a03
ARS MATHEMATICA CONTEMPORANEA
Keywords
DocType
Volume
Discriminantal arrangements,intersection lattice,Grassmannian,Pappus's Theorem
Journal
16
Issue
ISSN
Citations 
1
1855-3966
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Sumire Sawada100.34
Simona Settepanella201.69
So Yamagata300.34