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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.

Belongs to: Department of Mathematics
Last changed: Aug 29, 2021