## Search

Now showing items 1-6 of 6

#### Maps between curves and arithmetic obstructions

(2017)

Let X and Y be curves over a finite field. In this article we explore methods
to determine whether there is a rational map from Y to X by considering
L-functions of certain covers of X and Y and propose a specific family ...

#### Maximal differential uniformity polynomials

(2017)

We provide an explicit infinite family of integers m such
that all the polynomials of F2n [x] of degree m have maximal differential
uniformity for n large enough. We also prove a conjecture of the third
author in these cases.

#### New characterisations of tree-based networks and proximity measures

(2017)

Phylogenetic networks are a type of directed acyclic graph
that represent how a set X of present-day species are
descended from a common ancestor by processes of speciation
and reticulate evolution. In the absence of ...

#### Zero-cycles of degree one on Skorobogatov's bielliptic surface

(2017)

© 2017 Elsevier Inc. Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer–Manin obstruction. We show that this surface has a 0-cycle of degree 1, as ...

#### Degree and the Brauer-Manin obstruction

(2017)

Let X be a smooth variety over a number field k embedded as a degree d
subvariety of {P}^nk and suppose that X is a counterexample to the
Hasse principle explained by the Brauer-Manin obstruction. We consider the
question ...

#### Zero-cycles of degree one on Skorobogatov's bielliptic surface

(2017)

© 2017 Elsevier Inc. Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer–Manin obstruction. We show that this surface has a 0-cycle of degree 1, as ...