Higher composition laws IV: The parametrization of quintic rings
By Manjul Bhargava. 2008
100 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6663df42986dff2fd0ea20d517190a6b0cc0167e
How researchers see this paper
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In Algebra and Number Theory
- Melanie Matchett Wood
- Jordan S. Ellenberg
- L. Pierce
- Manjul Bhargava
- Kiran S. Kedlaya
- B. Gross
- A. Shankar
- Bjorn Poonen
In Geometry and Topology
- Melanie Matchett Wood
- Jordan S. Ellenberg
- L. Pierce
- Manjul Bhargava
- Akshay Venkatesh
- Bjorn Poonen
- Dan Erik Petersen
- B. Gross
In Mathematical Physics
- Melanie Matchett Wood
- Jordan S. Ellenberg
- L. Pierce
- Manjul Bhargava
- Kiran S. Kedlaya
- Akshay Venkatesh
- A. Shankar
- B. Gross
Citations in the corpus
- On ℓ-torsion in class groups of number fields (2016, methodology): “The parametrization of quartic rings with their cubic resolvents due to Bhargava [Bha04] (see also [BBP10, Theorem 4.1]) gives an injection from the set of isomorphism classes of maximal quartic orders to the set of GL2(Z)×SL3(Z) classes of pairs of ternary quadratic forms with integral coefficients”
- The geometric sieve and the density of squarefree values of invariant polynomials (2014, methodology): “The orbits of G(Z) on V (Z) were classified in [24], [2], and [3], where the following theorem was proved:”