J. A. Domínguez Pérez
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View article: Jordan type of full Perazzo algebras
Jordan type of full Perazzo algebras Open
In this paper, we compute all possible Jordan types of linear forms $\ell$ in any full Perazzo algebra $A$. In some cases we are also able to compute the corresponding Jordan degree type, which is a finer invariant.
View article: Betti numbers of full Perazzo algebras
Betti numbers of full Perazzo algebras Open
In this paper we prove that any full Perazzo algebra $$A_F$$ , whose Macaulay dual generator is a Perazzo form $$F\in K[X_0,\dots ,X_n,U_1,\dots ,U_m]_d$$ with $$n+1 = \left( {\begin{array}{c}d+m-2\\ m-1\en…
View article: Perazzo hypersurfaces and the weak Lefschetz property
Perazzo hypersurfaces and the weak Lefschetz property Open
We deal with Perazzo hypersurfaces X=V(f) in Pn+2 defined by a homogeneous polynomial f(x0,x1,…,xn,u,v)=p0(u,v)x0+p1(u,v)x1+⋯+pn(u,v)xn+g(u,v), where p0,p1,…,pn are algebraically dependent but linearly independent forms of degree d−1 in K[…