University of Mainz

Mon 7 Sep 2015, 3:00pm
Algebraic Geometry Seminar
PIMS, room 4247

Analyticity and Versality of GrossSiebert families

PIMS, room 4247
Mon 7 Sep 2015, 3:00pm4:00pm
Abstract
In a joint work with Siebert, I prove that the mirror map is trivial for the canonical formal families of CalabiYau varieties constructed by Gross and Siebert. In other words, the natural coordinate in a canonical CalabiYau family is a canonical coordinate in the sense of Hodge theory. This implies that the higher weight periods directly carry enumerative information with no further gauging necessary as opposed to the classical case. As a consequence, the canonical formal families lift to analytic families that are versal. We compute the relevant period integrals explicitly. The cycles to integrate over are constructed from tropical 1cycles in the intersection complex of the degenerate CalabiYau.
hide

Seminar Information Pages
