activity
20092014
most citedOn The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

4 citations · 7 across the 5 of their papers we have counts for

collaborators

6 papers

quant-ph2014★ 3 cited

Generalized parity proofs of the Kochen-Specker theorem

Petr Lisonek, Robert Raussendorf, Vijaykumar Singh

We discuss two approaches to producing generalized parity proofs of the Kochen-Specker theorem. Such proofs use contexts of observables whose product is or ; we call them c…

math.AG2011

Characteristic Polynomial of Supersingular Abelian Varieties over Finite Fields

Vijaykumar Singh, Gary McGuire, Alexey Zaytsev

In this article, we give a complete description of the characteristic polynomials of supersingular abelian varieties over finite fields. We list them for the dimensions upto 7.

math.AG2010★ 4 cited

On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Vijaykumar Singh, Alexey Zatysev, Gary McGuire

In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension ove…

math.AG2010

On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Vijaykumar Singh, Alexey Zatysev, Gary McGuire

In this article, we derive a list of possible characteristic polynomials of the Frobenius of simple supersingular abelian varieties of dimension 1, 2, 3, 4, 5, 6, 7 over $\mathbb{F…

math.AG2010

The characteristic polynomials of abelian varieties of dimensions 3 over finite fields

Safia Haloui

We describe the set of characteristic polynomials of abelian varieties of dimension 3 over finite fields.

math.AG2009

The Intersection of Two Fermat Hypersurfaces in P^3 via Computation of Quotient Curves

Vijaykumar Singh, Gary McGuire

We study the intersection of two particular Fermat hypersurfaces in over a finite field. Using the Kani-Rosen decomposition we study arithmetic properties of this cu…