Seminário das Sextas, na terça - 09/07/24

CSM classes and inverses of monomial Cremona transformations

Given a birational map in three-dimensional projective space defined by monomials of degree d, we prove that its inverse is defined by monomials of degree at most d^2−d+1. Our approach involves reformulating the problem in topological terms through the use of Chern-Schwartz-MacPherson classes.

This work is a collaboration with Thiago Fassarella (UFF).

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