7 papers
Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Louiza Fouli, Kuei-Nuan Lin, Haydee Lindo +1
A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for th…
Special fibers of coordinate sections of Hankel Matrices
Katie Ansaldi, Dayane Lira, Maral Mostafazadehfard +2
We investigate the special fibers associated with certain coordinate sections of Hankel determinantal ideals. We provide explicit descriptions of their defining equations, showing…
Algebraic invariants of special fiber rings of ladder determinantal modules
Alessandra Costantini, Louiza Fouli, Kriti Goel +4
We provide explicit formulas for key invariants of special fiber rings of ladder determinantal modules, that is, modules that are direct sums of ideals of maximal minors of a ladde…
Coordinate sections of generic Hankel matrices
Rainelly Cunha, Maral Mostafazadehfard, Zaqueu Ramos +1
One deals with degenerations by coordinate sections of the square generic Hankel matrix over a field of characteristic zero, along with its main related structures, such as the…
Hankel determinantal rings have rational singularities
Aldo Conca, Maral Mostafazadehfard, Anurag K. Singh +1
Hankel determinantal rings, i.e., determinantal rings defined by minors of Hankel matrices of indeterminates, arise as homogeneous coordinate rings of higher order secant varieties…
Cohomological dimension and arithmetical rank of some determinantal ideals
Davide Bolognini, Alessio Caminata, Antonio Macchia +1
Let be a non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithme…
Homaloidal determinants
Maral Mostafazadehfard, Aron Simis
A form in a polynomial ring over a field is said to be homaloidal if its polar map is a Cremona map, i.e., if the rational map defined by the partial derivatives of the form has an…