New preprint

I’ve posted a new preprint to the arXiv:

An extension of the Siegel space of complex abelian varieties and
conjectures on stability structures

Abstract: We study semi-algebraic domains associated with symplectic tori and
conjecturally identified with spaces of stability conditions on the Fukaya
categories of these tori. Our motivation is to test which results from the
theory of flat surfaces could hold for more general spaces of stability
conditions. The main results concern systolic bounds and volume of the moduli
space.