Higher composition laws II: On cubic analogues of Gauss composition
By Manjul Bhargava. 2004
127 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e8dfef43bff11a663d75938691325b97709ed0a7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- B. Gross
- Manjul Bhargava
- Melanie Matchett Wood
- A. Shankar
- Kiran S. Kedlaya
- Bjorn Poonen
- Wei Ho
- Alexei Oblomkov
In Geometry and Topology
- Manjul Bhargava
- B. Gross
- Melanie Matchett Wood
- Xiaoheng Wang
- Bjorn Poonen
- Zhiwei Yun
- A. Shankar
- Michael Stoll
In Mathematical Physics
- Manjul Bhargava
- B. Gross
- Melanie Matchett Wood
- A. Shankar
- Zhiwei Yun
- Kiran S. Kedlaya
- Akshay Venkatesh
- Bjorn Poonen
Citations in the corpus
- Arithmetic invariant theory (2012, methodology): “ 2 we have H0(k,R) = L×[2], H1(k,R) = L×/L×2, H2(k,R) = Br(L)[2]. For R 0 = (ResL/kµ 2)N=1, we have H0(k,R 0) = L×[2]N=1 and the long exact sequence in cohomology gives an exact sequence 1 → h±1i/N(L×[2]) → H1(k,R 0) → L×/L×2 → k×/k×2 → H2(k,R 0) → Br(L)[2]. (7) The group H1(k,R 0) maps surjectively”
- Most hyperelliptic curves over Q have no rational points (2013, methodology): “Moreover, the stabilizer in G(Fp) of such an orbit is isomorphic to K f [2], which in turn is isomorphic to(Z/2Z) if p 6= 2 and is trivial otherwise.”