Publications related to Algebraic curve

Simultaneous optimisation of Multiple-Effect Evaporation Systems and Heat Exchanger Network

In recent work, a general superstructure and a Non-Linear Programming (NLP) model were presented for Multiple-Effect Evaporation Systems (MEESs). This NLP model was combined with a Heat Exchanger Network (HEN) model in order to simultaneously perform optim ...

2017

Few distinct distances implies no heavy lines or circles

Frank de Zeeuw

We study the structure of planar point sets that determine a small number of distinct distances. Specifically, we show that if a set of n points determines o(n) distinct distances, then no line contains Omega(n (7/8)) points of and no circle contains Omega ...

Springer Heidelberg2016

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

Distinct Values Of Bilinear Forms On Algebraic Curves

Frank de Zeeuw, Adrian Claudiu Valculescu

Let B-M : C x C -> C be a bilinear form B-M(p, q) - p(T)Mq, with an invertible matrix M is an element of C-2x2. We prove that any finite set S contained in an irreducible algebraic curve C of degree d in C determines Omega(d)(vertical bar S vertical bar(4/ ...

Univ Calgary, Dept Math & Statistics2016

Medial axis transformation as a solid modeling representation method for computer aided design software

Paul Xirouchakis, Mihai-Bogdan Lazar, Ian Anthony Stroud, Florian Barras, Guillaume Goualard

A method for achieving a representation of an object within a data structure for a Computer Aided Design system employing a Medial Axis Transformation (MAT), the representation of the object comprising a set of adjacent bounded surface elements called MAT ...

2016

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Robert Granger

For any positive integers

n\geq 3, r\geq 1

we present formulae for the number of irreducible polynomials of degree

n

over the finite field

\mathbb{F}_{2^r}

where the coefficients of

x^{n-1}

,

x^{n-2}

and

x^{n-3}

are zero. Our proofs involve coun ...

Elsevier2016

Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples

Riccardo Grandi

In the present thesis we study the geometry of the moduli spaces of Bradlow-Higgs triples on a smooth projective curve C. There is a family of stability conditions for triples that depends on a positive real parameter Ï. The moduli spaces of Ï-semistable ...

EPFL2016

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Andrea Manzoni, Federico Negri

In this work we propose a new, general and computationally cheap way to tackle parametrized PDEs defined on domains with variable shape when relying on the reduced basis method. We easily describe a domain by boundary parametrizations, and obtain domain de ...

MATHICSE2016

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Simultaneous optimisation of Multiple-Effect Evaporation Systems and Heat Exchanger Network

Few distinct distances implies no heavy lines or circles

Computational Aspects of Jacobians of Hyperelliptic Curves

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Distinct Values Of Bilinear Forms On Algebraic Curves

Medial axis transformation as a solid modeling representation method for computer aided design software

An Inner-Product Calculus for Periodic Functions and Curves

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Distinct Values Of Bilinear Forms On Algebraic Curves

Medial axis transformation as a solid modeling representation method for computer aided design software

Few distinct distances implies no heavy lines or circles

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Simultaneous optimisation of Multiple-Effect Evaporation Systems and Heat Exchanger Network

An Inner-Product Calculus for Periodic Functions and Curves

Motivic invariants of moduli spaces of rank 2 Bradlow-Higgs triples

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Computational Aspects of Jacobians of Hyperelliptic Curves

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients