Affine Buildings and Tropical Convexity

François Bruhat and Jacques Tits, B ​ N BN -paires de type affine et données radicielles , C. R. Acad. Sci. Paris Sér. A-B 263

1966

Earlier work this paper cites.

Jacques Tits, Buildings of spherical type and finite BN-pairs , Springer-Verlag, Berlin, 1974, Lecture Notes in Mathematics, Vol. 386

1974

Earlier work this paper cites.

G. A. Mustafin, Non-Archimedean uniformization , Mat. Sb. (N.S.) 34

1978

Earlier work this paper cites.

Andreas Dress and Werner Terhalle, A combinatorial approach to 𝔭 {\mathfrak{p}} -adic geometry , Geom. Dedicata 46

1993

Earlier work this paper cites.

Mikhail M. Kapranov, Chow quotients of Grassmannians. I , I. M. Gel ′

1993

Earlier work this paper cites.

by same author, The tree of life and other affine buildings , Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998), Extra Vol. III, 1998, pp. 565–574 (electronic)

1998

Earlier work this paper cites.

Ewgenij Gawrilow and Michael Joswig, polymake: a framework for analyzing convex polytopes , Polytopes—combinatorics and computation (Oberwolfach, 1997), DMV Sem., vol. 29, Birkhäuser, Basel, 2000, pp. 43–73

2000

Earlier work this paper cites.

Gerd Faltings, Toroidal resolutions for some matrix singularities , Moduli of abelian varieties (Texel Island, 1999), Progr. Math., vol. 195, Birkhäuser, Basel, 2001, pp. 157–184

2001

Cited alongside, same era.

Annette Werner, Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank , Doc. Math. 6

2001

Cited alongside, same era.

Federico Ardila, Subdominant matroid ultrametrics , Annals of Combinatorics 8

2004

Cited alongside, same era.

Mike Develin and Bernd Sturmfels, Tropical convexity , Doc. Math. 9

2004

Cited alongside, same era.

David Speyer and Bernd Sturmfels, The tropical Grassmannian , Adv. in Geometry 4

2004

Cited alongside, same era.

by same author, Compactification of the Bruhat-Tits building of PGL by seminorms , Math. Z. 248

Michael Joswig, Tropical halfspaces , Combinatorial and computational geometry, Math. Sci. Res. Inst. Publ., vol. 52, Cambridge Univ. Press, Cambridge, 2005, pp. 409–431

2005

Later among the works it cites.

Jürgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald, First steps in tropical geometry , in ”Idempotent Mathematics and Mathematical Physics”, Proceedings Vienna 2003, (editors G.L. Litvinov, V.P. Maslov), American Math. Society, Contemporary Mathematics 377

2005

Later among the works it cites.

Florian Block and Josephine Yu, Tropical convexity via cellular resolutions , J. Algebraic Combin. 24

2006

Later among the works it cites.

Sean Keel and Jenia Tevelev, Geometry of Chow quotients of Grassmannians , Duke Math. J. 134

2006

Later among the works it cites.

Peter Abramenko and Kenneth S. Brown, Approaches to Buildings , Springer-Verlag, New York, 2007