On Characteristic Classes Of Determinantal Cremona Transformations

Gerard Gonzalez-Sprinberg (1) , Ivan Pan (2)

1 IF - Institut Fourier
2 UFRGS - Departamento de Matemática Pura e Aplicada [Porto Alegre]

We compute the multidegrees and the Segre numbers of general determinantal Cremona transformations, with generically reduced base scheme, by specializing to the standard Cremona transformation and computing its Segre class via mixed volumes of rational polytopes.

Mots clés: Characteristic classes; Cremona transformations; rational polytopes; mixed volumes

Domaines: Géométrie algébrique [math.AG]

Gerard Gonzalez-Sprinberg, Ivan Pan. On Characteristic Classes Of Determinantal Cremona Transformations. Mathematische Annalen, 2006, 335 (2), pp.Page 479-487. ⟨hal-00007542⟩