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Luca Schaffler, An Explicit Wall Crossing for the Moduli Space of Hyperplane Arrangements

December 6 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of

    Speaker

Luca Schaffler
Roma Tre University

The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these, there is a toric compactification that generalizes the Losev-Manin moduli space of points on the line. We study the first natural wall crossing that modifies this compactification into a non-toric one by varying the weights. As an application of our work, we show that any Q-factorialization of the blow up at the identity of the torus of the generalized Losev-Manin space is not a Mori dream space for a sufficiently high number of hyperplanes. Additionally, for lines in the plane, we provide a precise description of the wall crossing. This is joint work with Patricio Gallardo.

Details

Date:
December 6
Time:
4:00 pm - 5:00 pm KST
Event Category:
Event Tags:

Venue

B236-1
IBS Korea, Republic of

Organizer

Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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