A stick figure $X\subset \mathbb{P}^r$ is a nodal curve whose irreducible components are lines. For fixed integers $r\ge 3$, $s\ge 2$ and $d$ we study the maximal arithmetic genus of connected (or any reduced curve) such that $\deg (X)=d$ $h^0(\mathcal{I}_X(s-1))=0$. We consider Halphen's problem obtaining all genera below one.

Abstract In Beelen and Montanucci (Finite Fields Appl 52:10–29, 2018) Giulietti Korchmáros (Math Ann 343:229–245, 2009), Weierstrass semigroups at points of the Giulietti–Korchmáros curve $${\mathcal {X}}$$ X were investigated sets minimal generators determined for all in {X}}(\mathbb {F}_{q^2})$$ ...

nasal mucosa has an extraordinary nerve supply with unique geometry that encompasses complex physiology. among these, side-specific predilections to the respiratory and autonomic centers are the interesting issues that have been raised about the consequences of the nasal irritations. the aim of the study was an evaluation of how intranasal stimulation influences lung mechanics and determines wh...

In this paper, a new approach which differentiates from the conventional thinning algorithms in vectorizing a raster line image called maximal inscribing circle (MIC) is used. This region-based vectorization algorithm takes the ensemble of pixels within the line segments collectively as legitimate candidates in deciding the vectorized representation. An iterative procedure is outlined and the c...

We propose a novel method for curve structure extraction of cartoon images. Our method handles two types of cartoon curves, decorative curves and boundary curves, in a uniform way. The method consists of two steps. First, we calculate curve points by applying non-maximal suppress on secondary derivative of cartoon images. Second, these curve points are linked together to form structure curves w...

If C is a smooth curve over an algebraically closed field k of characteristic p, then the structure of the maximal prime to p quotient of thé etale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective line minu...

If C is a smooth curve over an algebraically closed field k of characteristic exponent p, then the structure of the maximal prime-to-p quotient of the étale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective ...

If C is a smooth curve over an algebraically closed field k of characteristic p, then the structure of the maximal prime to p quotient of thé etale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective line minu...