Compactification of the moduli space of hyperplane arrangements

By P. Hacking, S. Keel, Jenia Tevelev. 2005

88 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/02eda4d6f302378ec216d48bdd4c74ecf931584f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Jenia Tevelev
2. P. Hacking
3. S. Keel
4. Valery Alexeev
5. Martin Ulirsch
6. A. Gibney
7. Eric Katz
8. Jürgen Hausen

In Geometry and Topology

1. Valery Alexeev
2. Jenia Tevelev
3. S. Keel
4. P. Hacking
5. Bernd Sturmfels
6. Eric Katz
7. A. Gibney
8. Mark Gross

In Mathematical Physics

1. Jenia Tevelev
2. P. Hacking
3. S. Keel
4. Valery Alexeev
5. Lucia Caporaso
6. Filippo Viviani
7. Brendan Hassett

Citations in the corpus

• Cluster algebras (2014, unknown): “The tropical Grassmannian Trop Grk,n [29, 36, 57] is the space of realizable tropical linear spaces, obtained by applying the valuation map to elements of the Grassmannian Grk,n(K) over the field K = C{{t}} of Puiseux-series.”
• Higher-dimensional analogues of stable curves (2006, background): “But in this case the two points of view coincide, because matroid polytopes, as was observed in [23], are unimodular (by which we mean that the monoid of integral points in the cone over Q is generated by the integral points of Q).”
• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces (2007, background): “More generally, recall that a hyperplane arrangement in Pm is connected if the subgroup of PGLm+1 preserving the arrangment is finite (or equivalently, if the complement is log minimal). By [ HKT , §2]:”