# Ana-Maria Castravet: Blown-up toric surfaces with non-polyhedral effective cone and applications to moduli spaces

**Time: **
Tue 2021-08-31 15.00 - 16.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)

**Lecturer: **
Ana-Maria Castravet (Versailles)

**Abstract:** I will discuss recent joint work with Antonio Laface, Jenia Tevelev and Luca Ugaglia, in which we construct examples of projective toric surfaces whose blow-up at a general point has a non-polyhedral (i.e., not finitely generated) cone of effective divisors, both in characteristic 0 and in prime characteristic. As a consequence, the Grothendieck–Knudsen moduli space of stable rational curves with \(n\geq 10\) markings has a non polyhedral cone of effective divisors.