## Search

Now showing items 21-30 of 35

#### Improved rank bounds from 2-descent on hyperelliptic Jacobians

(2018)

© 2018 World Scientific Publishing Company. We describe a qualitative improvement to the algorithms for performing 2-descents to obtain information regarding the Mordell-Weil rank of a hyperelliptic Jacobian. The improvement ...

#### Quarnet Inference Rules for Level-1 Networks

(2018)

© 2018, The Author(s). An important problem in phylogenetics is the construction of phylogenetic trees. One way to approach this problem, known as the supertree method, involves inferring a phylogenetic tree with leaves ...

#### On automorphism groups of toroidal circle planes

(2018)

© 2018, Springer International Publishing AG, part of Springer Nature. Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism ...

#### The Drinker Paradox and its Dual

(2018)

The Drinker Paradox is as follows.
In every nonempty tavern, there is a person such that if that person is
drinking, then everyone in the tavern is drinking.
Formally, \[
\exists x \big(\varphi \rightarrow \forall ...

#### Thinplate splines on the sphere

(2018)

© 2018, Institute of Mathematics. All rights reserved. In this paper we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate ...

#### Value sets of sparse polynomials

(2018)

We obtain a new lower bound on the size of value set V (ƒ) = ƒ(Fp) of a sparse
polynomial ƒ ϵ Fp[X] over a finite field of p elements when p is prime. This
bound is uniform with respect of the degree and depends on some ...

#### 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 ...

#### Determining the order of a molecular point group

(University of Canterbury. Chemistry, 2011)

Conventional methods of identifying the point group of a molecule require skills in finding symmetry elements and
operations. A useful aid to error checking is an ability to determine the order of a group purely from its ...

#### Balanced harvesting is the bioeconomic equilibrium of a size-structured Beverton-Holt model

(University of Canterbury. Mathematics and Statistics, 2016)

Balanced harvesting was introduced as an alternative strategy to size-at-entry fishing with the aim of maintaining ecosystem structure and functioning. Balanced harvesting has been criticised on a number of grounds, including ...

#### 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 ...