4 citations · 8 across the 4 of their papers we have counts for
8 papers
Differential Central Simple Algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
Differential central simple algebras are the main object of study in this survey article. We recall some crucial notions such as differential subfields, differential splitting fiel…
A ruled residue theorem for function fields of elliptic curves
Karim Johannes Becher, Parul Gupta, Sumit Chandra Mishra
It is shown that a valuation of residue characteristic different from and on a field has at most one extension to the function field of an elliptic curve over , for…
Splitting of differential quaternion algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field is always split by a quadratic extension of . However, a di…
Splitting fields of differential symbol algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
For , we study derivations on symbol algebras of degree over fields with characteristic not dividing . A differential central simple algebra over a field is spl…
Four-dimensional quadratic forms over
Parul Gupta
For quadratic forms in variables defined over the rational function field in one variable over , the validity of the local-global principle for isotropy wit…
Square-reflexive polynomials
Karim Johannes Becher, Parul Gupta
For a field of characteristic different from and cohomological -dimension one, quadratic forms over the rational function field are studied. A characterisation in…