Results 1 to 10 of about 45 (45)
Maximal gonality on strata of differentials and uniruledness of strata in low genus
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1627-1635, December 2021., 2021 Abstract We prove that for a generic element in a nonhyperelliptic component of an abelian stratum Hg(μ) in genus g, the underlying curve has maximal gonality. We extend this result to the case of quadratic strata when the partition μ has positive entries. As a consequence we deduce that all nonhyperelliptic components of H9(μ) are uniruled when μ is a
Andrei Bud
wiley +1 more source
The moduli space of Harnack curves in toric surfaces
Forum of Mathematics, Sigma, 2021 In 2006, Kenyon and Okounkov Kenyon and Okounkov [12] computed the moduli space of Harnack curves of degree d in ${\mathbb {C}\mathbb {P}}^2$. We generalise their construction to any projective toric surface and show that the moduli space ${\mathcal {H}_\
Jorge Alberto Olarte
doaj +1 more source
Some integral curves with a new frame
Open Mathematics, 2020 In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures.
Güven İlkay Arslan
doaj +1 more source
Isomorphisms between complements of projective plane curves [PDF]
Épijournal de Géométrie Algébrique, 2019 In this article, we study isomorphisms between complements of irreducible curves in the projective plane $\mathbb{P}^2$, over an arbitrary algebraically closed field. Of particular interest are rational unicuspidal curves. We prove that if there exists a
Mattias Hemmig
doaj +1 more source
On some reciprocal matrices with elliptical components of their Kippenhahn curves
Special Matrices, 2021 By definition, reciprocal matrices are tridiagonal n-by-n matrices A with constant main diagonal and such that ai,i+1ai+1,i= 1 for i = 1, . . ., n − 1.
Jiang Muyan, Spitkovsky Ilya M.
doaj +1 more source
Curves in the Lorentz-Minkowski plane with curvature depending on their position
Open Mathematics, 2020 Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso +2 more
doaj +1 more source
Higher rank sheaves on threefolds and functional equations [PDF]
Épijournal de Géométrie Algébrique, 2019 We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective threefold. The singularity set of a torsion free sheaf is the locus where the sheaf is not locally free. On a threefold it has dimension $\leq 1$.
Amin Gholampour, Martijn Kool
doaj +1 more source
Conductor and discriminant of Picard curves
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 368-404, August 2020., 2020 Abstract We describe normal forms and minimal models of Picard curves, discussing various arithmetic aspects of these. We determine all so‐called special Picard curves over Q with good reduction outside 2 and 3, and use this to determine the smallest possible conductor a special Picard curve may have.
Irene I. Bouw +3 more
wiley +1 more source
Differential geometry of Hilbert schemes of curves in a projective space
Complex Manifolds, 2019 We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4.
Bielawski Roger, Peternell Carolin
doaj +1 more source
Mammalogy Notes, 2017 El 19 de marzo de 2016 a las 14h50 observamos un Puma en un parche de bosque pequeño (5,2 ha) en el distrito de Santiago, San Ramón, Provincia de Alajuela, Costa Rica (10,057109° N, -84,492416° W; Figura 2).
Brayan Heiner Morera-Chacón +1 more
doaj +1 more source