Mirror fibrations and root stacks of weighted projective spaces

Ignacio de Gregorio (1) , Etienne Mann (2, 3)

1 Mathematics Institute warwick
2 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies
3 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We show that the orbifold Chow ring of a root stack over a well-formed weighted projective space can be naturally seen as the Jacobian algebra of a function on a singular variety given by a partial compactification of its Ginzburg-Landau model.

Domaines: Géométrie algébrique [math.AG]

Ignacio de Gregorio, Etienne Mann. Mirror fibrations and root stacks of weighted projective spaces. Manuscripta mathematica, 2008, 127 (1), pp.69-80. ⟨10.1007/s00229-008-0185-8⟩. ⟨hal-00271625⟩