Name
Abstract | ||
|---|---|---|
The universal Kummer threefold is a 9-dimensional variety that represents the total space of the 6-dimensional family of Kummer threefolds in P-7. We compute defining polynomials for three versions of this family, over the Satake hypersurface, over the Gopel variety, and over the reflection representation of type E-7. We develop classical themes such as theta functions and Coble's quartic hypersurfaces using current tools from combinatorics, geometry, and commutative algebra. Symbolic and numerical computations for genus-3 moduli spaces appear alongside toric and tropical methods. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1080/10586458.2013.816206 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
abelian varieties,moduli spaces,theta functions,toric varieties | Toric variety,Moduli space,Topology,Polynomial,Algebra,Mathematical analysis,Commutative algebra,Theta function,Quartic function,Hypersurface,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
22.0 | 3.0 | 1058-6458 |
Citations | PageRank | References |
3 | 0.73 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qingchun Ren | 1 | 153 | 12.62 |
| Steven V. Sam | 2 | 20 | 4.36 |
| Gus Schrader | 3 | 3 | 0.73 |
| Bernd Sturmfels | 4 | 926 | 136.85 |