The study of curves in projective space is a well-known problem in algebraic geometry, that goes back centuries. The minimal model program in birational geometry has been formulated via the theory of divisors, and it is an interesting question to understand it via the theory of curves.
In this talk, we will discuss the duality between cones of k-moving curves and cones of ample divisors in codimension k following a question of Lazarsfeld -Payne- Choi for Mori Dream Spaces. We introduce the terminology of principal variety, and we prove that the duality of cones holds in this class of examples. This is based on joint work with Rick Miranda and also with Chiara Brambilla, Elisa Postinghel and Luis Sanchez. Speaker(s): Olivia Dumitrescu (University of North Carolina)
In this talk, we will discuss the duality between cones of k-moving curves and cones of ample divisors in codimension k following a question of Lazarsfeld -Payne- Choi for Mori Dream Spaces. We introduce the terminology of principal variety, and we prove that the duality of cones holds in this class of examples. This is based on joint work with Rick Miranda and also with Chiara Brambilla, Elisa Postinghel and Luis Sanchez. Speaker(s): Olivia Dumitrescu (University of North Carolina)
| Building: | East Hall |
|---|---|
| Event Type: | Workshop / Seminar |
| Tags: | Mathematics |
| Source: | Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics |
