10 citations · 10 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
On mixed Hessians and the Lefschetz properties
Rodrigo Gondim, Giuseppe Zappala'
We introduce a new type of Hessian matrix, that we call Mixed Hessian. The mixed Hessian is used to compute the rank of a multiplication map by a power of a linear form in a standa…
Hypersurfaces with vanishing hessian via Dual Cayley Trick
Rodrigo Gondim, Francesco Russo, Giovanni Staglianò
We present a general construction of hypersurfaces with vanishing hessian, starting from any irreducible non-degenerate variety whose dual variety is a hypersurface and based on th…