35 research outputs found
On special quadratic birational transformations whose base locus has dimension at most three
We study birational transformations P^n--->S \subseteq P^N defined by linear
systems of quadrics whose base locus is smooth and irreducible of dimension
\leq3 and whose image S is sufficiently regular.Comment: Minor change
Effective identifiability criteria for tensors and polynomials
A tensor , in a given tensor space, is said to be -identifiable if it
admits a unique decomposition as a sum of rank one tensors. A criterion for
-identifiability is called effective if it is satisfied in a dense, open
subset of the set of rank tensors. In this paper we give effective
-identifiability criteria for a large class of tensors. We then improve
these criteria for some symmetric tensors. For instance, this allows us to give
a complete set of effective identifiability criteria for ternary quintic
polynomial. Finally, we implement our identifiability algorithms in Macaulay2.Comment: 12 pages. The identifiability criteria are implemented, in Macaulay2,
in the ancillary file Identifiability.m