Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces

By P. Hacking, S. Keel, Jenia Tevelev. 2007

98 citations recorded by the source corpus.

AbstractWe give a functorial normal crossing compactification of the moduli space of smooth cubic surfaces entirely analogous to the Grothendieck-Knudsen compactification $M_{0,n}\subset\overline{M}_{0,n}$ .

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1e3b7e19f5f6b8ef14528b2e4f046791f1e9fdf7

How researchers see this paper

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

In Computational Theory and Mathematics

1. Eric Katz
2. Jenia Tevelev
3. Zhiqiang Xu
4. Bernd Sturmfels
5. Sam Payne
6. Federico Ardila
7. June Huh
8. Walter Gubler

In Geometry and Topology

1. Eric Katz
2. Bernd Sturmfels
3. Jenia Tevelev
4. Zhiqiang Xu
5. Sam Payne
6. June Huh
7. Federico Ardila
8. Walter Gubler

In Statistical and Nonlinear Physics

1. Bernd Sturmfels
2. Zhiqiang Xu
3. Eric Katz
4. Jenia Tevelev

Citations in the corpus

• A Tropical Toolkit (2006, background): “It has found applications in the enumeration of curves [23], low-dimensional topology [40], algebraic dynamics [10], and the study of compactifications [ 17 ,39].”
• ELIMINATION THEORY FOR TROPICAL VARIETIES (2007, methodology): “This paper rests on the foundations of tropical algebraic geometry which were laid by Hacking, Keel, and Tevelev in [ 10 , 21].”
• Sagbi Bases of Cox-Nagata Rings (2008, methodology): “We expect this model to be a variant of the fan constructed by Hacking, Keel and Tevelev [17].”