Abstract
AbstractWe prove that two general ternary forms of degrees $$c\le d$$
c
≤
d
are simultaneously identifiable only in the classical cases $$(c,d)=(2,2)$$
(
c
,
d
)
=
(
2
,
2
)
and $$(c,d)=(2,3)$$
(
c
,
d
)
=
(
2
,
3
)
. We translate the problem into the study of a certain linear system on a projective bundle on the plane, and we apply techniques from projective and birational geometry to prove that the associated map is not birational.
Funder
Università degli Studi di Trieste
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
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