3 papers
math.AG2021
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…
math.AC2020
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…
math.DS2018
Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem
Thiago Dias, Bo-Yu Pan
A symmetric planar central configuration of the Newtonian six-body problem is called cross central configuration if there are precisely four bodies on a symmetry line of . W…