8 papers
Counting square free monomial cremona maps
Bárbara Costa, Thiago Dias, Rodrigo Gondim +1
We give a complete list of square-free Cremona maps with at most six variables, up to equivalence classes. We also build an algorithm to count monomial square-free Cremona transfor…
Waring problems and the Lefschetz properties
Thiago Dias, Rodrigo Gondim
We study three variations of the Waring problem for polynomials, concerning the Waring rank, the border rank and the cactus rank of a form and we show how the Lefschetz properties…
Developable cubics in and the Lefschetz locus in
Thiago Fassarella, Viviana Ferrer, Rodrigo Gondim
We provide a classification of developable cubic hypersurfaces in . Using the correspondence between forms of degree on and Artinian Gorenstein $\mat…
Higher order Jacobians, Hessians and Milnor algebras
Alexandru Dimca, Rodrigo Gondim, Giovanna Ilardi
We introduce and study higher order Jacobian ideals, higher order and mixed Hessians, higher order polar maps, and higher order Milnor algebras associated to a reduced projective h…
The Jordan type of graded Artinian Gorenstein algebras
Barbara Costa, Rodrigo Gondim
We study the general Jordan type of standard graded Artinian Gorenstein algebras, it is a finer invariant than Weak and Strong Lefschetz properties for those algebras. We prove tha…
Lefschetz Properties for Higher Order Nagata Idealizations
Armando Cerminara, Rodrigo Gondim, Giovanna Ilardi +1
We study a generalization of Nagata idealization for level algebras. These algebras are standard graded Artinian algebras whose Macaulay dual generator is given explicity as a bigr…