6 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…
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…
Counting Square free Cremona monomial maps
Barbara Costa, Thiago Dias, Rodrigo Gondim
We use combinatorics tools to reobtain the classification of monomial quadratic Cremona transformations in any number of variables given in \cite{SV2} and to classify and count squ…
A theorem about Cremona maps and symbolic Rees algebras
Barbara Costa, Zaqueu Ramos, Aron Simis
This work is about the structure of the symbolic Rees algebra of the base ideal of a Cremona map. We give sufficient conditions under which this algebra has the "expected form" in…
New Constructions of Cremona Maps
Bárbara Costa, Aron Simis
One defines two ways of constructing rational maps derived from other rational maps, in a characteristic-free context. The first introduces the Newton complementary dual of a ratio…
Cremona maps defined by monomials
Barbara Costa, Aron Simis
Cremona maps defined by monomials of degree 2 are thoroughly analyzed and classified via integer arithmetic and graph combinatorics. In particular, the structure of the inverse map…