TY - GEN
T1 - Some tropical geometry of algebraic groups, minimal orbits, and secant varieties
AU - Draisma, J.
PY - 2008
Y1 - 2008
N2 - Given a variety X embedded in a projective space PV , the (k - 1)-st secant
variety of X, denoted kX, is the closure of the union of all (k -1)-spaces spanned
by k points on X. We usually require that X spans PV , so that kX = PV for k
sufficiently large. We often work with the cone C in V over X rather than with
X, and write kC for the cone over kX. Secant varieties appear in applications
as diverse as phylogenetics [2, 5, 12], complexity theory [10, 11], and polynomial
interpolation [1]. The references in this note are by no means complete, but they
themselves contain many further relevant references.
AB - Given a variety X embedded in a projective space PV , the (k - 1)-st secant
variety of X, denoted kX, is the closure of the union of all (k -1)-spaces spanned
by k points on X. We usually require that X spans PV , so that kX = PV for k
sufficiently large. We often work with the cone C in V over X rather than with
X, and write kC for the cone over kX. Secant varieties appear in applications
as diverse as phylogenetics [2, 5, 12], complexity theory [10, 11], and polynomial
interpolation [1]. The references in this note are by no means complete, but they
themselves contain many further relevant references.
M3 - Conference contribution
T3 - Oberwolfach Reports
SP - 3352
EP - 3355
BT - Proceedings Tropical Geometry (Oberwolfach, Germany, December 9-15, 2007)
A2 - Feichtner, E.M.
A2 - Gathmann, A.
A2 - Itenberg, I.
A2 - Theobald, T.
ER -