Results 11 to 20 of about 11,657,940 (311)
The a-numbers of Fermat and Hurwitz curves [PDF]
Journal of Pure and Applied Algebra, 2018 For an algebraic curve $\mathcal{X}$ defined over an algebraically closed field of characteristic $p >0$, the $a$-number $a(\mathcal{X})$ is the dimension of the space of exact holomorphic differentials on $\mathcal{X}$. We compute the $a$-number for an infinite families of Fermat and Hurwitz curves.
Montanucci, Maria, Speziali, Pietro
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The a-Number of Certain Hyperelliptic Curves
Iranian Journal of Science and Technology, Transactions A: Science, 2022 9 ...
Nourozi, Vahid +2 more
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On the chromatic number of disjointness graphs of curves [PDF]
Journal of Combinatorial Theory, Series B, 2020 21 pages, 5 ...
Pach, János, Tomon, István
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The 𝑎-numbers of Jacobians of Suzuki curves [PDF]
Proceedings of the American Mathematical Society, 2013 For m ∈
Friedlander, Holley +4 more
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a-numbers of curves in Artin–Schreier covers [PDF]
Algebra & Number Theory, 2020 Let $π: Y \to X$ be a branched $\mathbf{Z}/p \mathbf{Z}$-cover of smooth, projective, geometrically connected curves over a perfect field of characteristic $p>0$. We investigate the relationship between the $a$-numbers of $Y$ and $X$ and the ramification of the map $π$.
Booher, Jeremy, Cais, Bryden
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On the number of real curves associated to a complex algebraic curve [PDF]
Proceedings of the American Mathematical Society, 1994 Using non-Euclidean crystallographic groups we give a short proof of a theorem of Natanzon that a complex algebraic curve of genus g ⩾
Emilio Bujalance +2 more
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The \(a\)-number of Jacobians of certain maximal curves
Transactions on Combinatorics, 2021 Summary: In this paper, we compute a formula for the \(a\)-number of certain maximal curves given by the equation \(y^q+y=x^{\frac{q+1}{2}}\) over the finite field \(\mathbb{F}_{q^2}\). The same problem is studied for the maximal curve corresponding to \(\sum_{t=1}^s y^{q/2^t}=x^{q+1}\) with \(q=2^s\), over the finite field \(\mathbb{F}_{q^2}\).
Nourozi, vahid +2 more
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Milnor number equals Tjurina number for functions on space curves [PDF]
, 2001 The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond +3 more
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The Writhing Number of a Space Curve [PDF]
Proceedings of the National Academy of Sciences, 1971 A geometric invariant of a space curve, the writhing number, is defined and studied. For the central curve of a twisted cord the writhing number measures the extent to which coiling of the central curve has relieved local twisting of the cord. This study originated in response to questions that arise in the study of supercoiled double-stranded DNA ...
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Computing the Geometric Intersection Number of Curves [PDF]
Journal of the ACM, 2019 The geometric intersection number of a curve on a surface is the minimal number of self-intersections of any homotopic curve, i.e., of any curve obtained by continuous deformation. Given a curve c represented by a closed walk of length at most ℓ on a combinatorial surface of complexity n , we
Despré, Vincent, Lazarus, Francis
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