Publications associées à Moduli of algebraic curves

On some algebraic and extremal problems in discrete geometry

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

On the mechanical characteristics of a self-setting calcium phosphate cement

John Botsis, Luis Pablo Canal Casado, Dimitrios Karalekas, Alexios Bimis

Objective: To perform a mechanical characterization of a self-setting calcium phosphate cement in function of the immersion time in Ringer solution. Materials and methods: Specimens of self-setting calcium phosphate cement were prepared from pure alpha-TCP ...

Elsevier2017

Resonances of Newtonian fluids in elastomeric microtubes

We analyze the dynamic behavior of Newtonian fluids in elastic tubes subject to pulsatile pressure gradients and show that the interplay between the viscosity of the fluid, the elasticity of the wall, and the characteristic size of the confining media give ...

Amer Inst Physics2017

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

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

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

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

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

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

The xi-stability on the affine grassmannian

Zongbin Chen

We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient ( ...

Springer Heidelberg2015

Moduli of algebraic curves

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On some algebraic and extremal problems in discrete geometry

On the mechanical characteristics of a self-setting calcium phosphate cement

Resonances of Newtonian fluids in elastomeric microtubes

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

Few distinct distances implies no heavy lines or circles

Distinct Values Of Bilinear Forms On Algebraic Curves

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

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

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

The xi-stability on the affine grassmannian

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

Resonances of Newtonian fluids in elastomeric microtubes

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

Few distinct distances implies no heavy lines or circles

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

On the mechanical characteristics of a self-setting calcium phosphate cement

On some algebraic and extremal problems in discrete geometry

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

Distinct Values Of Bilinear Forms On Algebraic Curves

The xi-stability on the affine grassmannian