Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 02/2019, Volume 2019, Issue 747, pp. 147 - 174

Let be a complex rational cuspidal curve and let be the minimal log resolution of singularities. We prove that has at most six cusps and we establish an...

MATHEMATICS | Mathematics - Algebraic Geometry

MATHEMATICS | Mathematics - Algebraic Geometry

Journal Article

Boletín de la Sociedad Matemática Mexicana, ISSN 1405-213X, 10/2018, Volume 24, Issue 2, pp. 483 - 506

... here some of the remarkable properties of this curve, that among other things lead to very good approximations. Mathematics Subject Classiﬁcation Primary 51M05...

Mathematics, general | Mathematics | Secondary 14H50 | Primary 51M05 | 68U05 | 65D18

Mathematics, general | Mathematics | Secondary 14H50 | Primary 51M05 | 68U05 | 65D18

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 1/2018, Volume 110, Issue 1, pp. 35 - 43

... is of some independent interest. Mathematics Subject Classiﬁcation. Primary 14H50; Secondary 14H51. Keywords. Cliﬀord index, K3 surfaces. 1. Introduction. Let S denote a smooth...

Mathematics, general | Secondary 14H51 | Mathematics | Clifford index | K3 surfaces | Primary 14H50 | MATHEMATICS

Mathematics, general | Secondary 14H51 | Mathematics | Clifford index | K3 surfaces | Primary 14H50 | MATHEMATICS

Journal Article

Manuscripta Mathematica, ISSN 0025-2611, 07/2017, Volume 153, Issue 3-4, pp. 535 - 543

Let X be a smooth projective surface with Picard number 1. Let L be the ample generator of the N,ron-Severi group of X. Given an integer , we prove lower...

Primary 14C20 | Secondary 14H50 | MATHEMATICS | ALGEBRAIC-SURFACES | P-2 | POINT | AMPLE DIVISORS

Primary 14C20 | Secondary 14H50 | MATHEMATICS | ALGEBRAIC-SURFACES | P-2 | POINT | AMPLE DIVISORS

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 6/2014, Volume 196, Issue 3, pp. 733 - 771

... Received: 20 October 2012 / Accepted: 21 June 2013 / Published online: 10 July 2013 © Springer-Verlag Berlin Heidelberg 2013 Mathematics Subject Classi cation Primary...

32E10 | 32E30 | 49Q05 | 14Q05 | Mathematics, general | Mathematics | 14H50 | 32H02 | 32Q28 | MATHEMATICS | OKA PRINCIPLE | COMPLEX | CONJECTURES | SECTIONS | MANIFOLDS | COMPLETE MINIMAL-SURFACES | Riemann surfaces | Immersion

32E10 | 32E30 | 49Q05 | 14Q05 | Mathematics, general | Mathematics | 14H50 | 32H02 | 32Q28 | MATHEMATICS | OKA PRINCIPLE | COMPLEX | CONJECTURES | SECTIONS | MANIFOLDS | COMPLETE MINIMAL-SURFACES | Riemann surfaces | Immersion

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 10/2013, Volume 286, Issue 14-15, pp. 1407 - 1423

One classifies the globally generated vector bundles on Pn with the first Chern class c1 = 3. The case c1 = 1 is very easy, the case c1 = 2 was done in [42],...

Secondary: 14H50, 14N25 | Primary: 14J60 | vector bundle | globally generated sheaf | Projective space | Vector bundle | Globally generated sheaf

Secondary: 14H50, 14N25 | Primary: 14J60 | vector bundle | globally generated sheaf | Projective space | Vector bundle | Globally generated sheaf

Journal Article

Advances in Mathematics, ISSN 0001-8708, 12/2014, Volume 267, pp. 1 - 43

Let E⊆P2 be a complex rational cuspidal curve contained in the projective plane and let (X,D)→(P2,E) be the minimal log resolution of singularities. Applying...

Cuspidal curve | Rational curve | Coolidge–Nagata conjecture | Cremona transformation | Log Minimal Model Program | Coolidge-Nagata conjecture | MATHEMATICS | HOMOLOGY PLANES | CURVES | Mathematics - Algebraic Geometry

Cuspidal curve | Rational curve | Coolidge–Nagata conjecture | Cremona transformation | Log Minimal Model Program | Coolidge-Nagata conjecture | MATHEMATICS | HOMOLOGY PLANES | CURVES | Mathematics - Algebraic Geometry

Journal Article

Journal of algebraic combinatorics, ISSN 1572-9192, 2018, Volume 50, Issue 4, pp. 363 - 378

We introduce a new class of line arrangements in the projective plane, called nearly supersolvable, and show that any arrangement in this class is either free...

Terao’s conjecture | Tjurina number | Slope Problem | Mathematics | Jacobian syzygy | Free line arrangement | Primary 14H50 | 13D02 | Secondary 14B05 | 32S22 | Nearly free line arrangement | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Algebraic Geometry

Terao’s conjecture | Tjurina number | Slope Problem | Mathematics | Jacobian syzygy | Free line arrangement | Primary 14H50 | 13D02 | Secondary 14B05 | 32S22 | Nearly free line arrangement | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Algebraic Geometry

Journal Article

Geometriae dedicata, ISSN 1572-9168, 2018, Volume 202, Issue 1, pp. 165 - 191

We study the cohomology of the moduli space of genus three curves with level two structure and some related spaces. In particular, we determine the cohomology...

14N20 | Mathematics | Primary 14H10 | Topology | 14H50 | Plane quartics | Secondary 14F25 | 14J10 | Moduli spaces | Convex and Discrete Geometry | Equivariant cohomology | Algebraic Geometry | Hyperbolic Geometry | Del Pezzo surfaces | Projective Geometry | Differential Geometry | Curves of low genus | Configurations of point sets | MATHEMATICS | ABELIAN DIFFERENTIALS | Mathematics - Algebraic Geometry

14N20 | Mathematics | Primary 14H10 | Topology | 14H50 | Plane quartics | Secondary 14F25 | 14J10 | Moduli spaces | Convex and Discrete Geometry | Equivariant cohomology | Algebraic Geometry | Hyperbolic Geometry | Del Pezzo surfaces | Projective Geometry | Differential Geometry | Curves of low genus | Configurations of point sets | MATHEMATICS | ABELIAN DIFFERENTIALS | Mathematics - Algebraic Geometry

Journal Article

Letters in mathematical physics, ISSN 1573-0530, 2018, Volume 109, Issue 2, pp. 423 - 447

A recent generalization of the “Kleinian sigma function” involves the choice of a point P of a Riemann surface X, namely a “pointed curve” (X, P). This paper...

Geometry | Primary 14K25 | Sigma function | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | 14H40 | 14H50 | Physics | Trigonal cyclic cuve | Weierstrass semigroup | Secondary 14H55 | JACOBI INVERSION | STRATA | PHYSICS, MATHEMATICAL | Y(R)

Geometry | Primary 14K25 | Sigma function | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | 14H40 | 14H50 | Physics | Trigonal cyclic cuve | Weierstrass semigroup | Secondary 14H55 | JACOBI INVERSION | STRATA | PHYSICS, MATHEMATICAL | Y(R)

Journal Article

Journal of Symbolic Computation, ISSN 0747-7171, 10/2013, Volume 57, pp. 48 - 60

In 2007, Helton and Vinnikov proved that every hyperbolic plane curve has a definite real symmetric determinantal representation. By allowing for Hermitian...

Determinantal representations | Hermitian matrices of linear forms | Hyperbolic polynomials | Interlacing | MATHEMATICS, APPLIED | INEQUALITY | COMPUTER SCIENCE, THEORY & METHODS

Determinantal representations | Hermitian matrices of linear forms | Hyperbolic polynomials | Interlacing | MATHEMATICS, APPLIED | INEQUALITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 11/2016, Volume 107, Issue 5, pp. 499 - 509

The zero divisor of the theta function of a compact Riemann surface X of genus g is the canonical theta divisor of Pic $${^{(g-1)}}$$ ( g - 1 ) up to...

14K25 | Secondary 14H50 | Theta function | Sigma function | Riemann constant | Mathematics, general | Mathematics | 14H40 | Non-symmetric Weierstrass semigroup | Primary 14H55 | Abel map | MATHEMATICS

14K25 | Secondary 14H50 | Theta function | Sigma function | Riemann constant | Mathematics, general | Mathematics | 14H40 | Non-symmetric Weierstrass semigroup | Primary 14H55 | Abel map | MATHEMATICS

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 05/2020, Volume 120, Issue 5, pp. 642 - 703

Let E⊆P2 be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira–Iitaka dimension of KX+12D, where...

14J26 | 14H50 | 14R25 (secondary) | 14J17 (primary) | MATHEMATICS

14J26 | 14H50 | 14R25 (secondary) | 14J17 (primary) | MATHEMATICS

Journal Article

Geometriae Dedicata, ISSN 0046-5755, 8/2014, Volume 171, Issue 1, pp. 187 - 201

... · Transcendental curve · V oronoi diagram with neutral zone Mathematics Subject Classiﬁcation (1991) Primary 51M05 · Secondary 14H50 · 68U05 · 65D18 1 Introduction...

Geometry | Transcendental curve | Secondary 14H50 | Distance trisector curve | Voronoi diagram with neutral zone | Mathematics | Primary 51M05 | 68U05 | 65D18 | MATHEMATICS

Geometry | Transcendental curve | Secondary 14H50 | Distance trisector curve | Voronoi diagram with neutral zone | Mathematics | Primary 51M05 | 68U05 | 65D18 | MATHEMATICS

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 11/2015, Volume 14, Issue 9

Using the theory of minimal models of quasi-projective surfaces we give a new proof of the theorem of Lin-Zaidenberg which says that every topologically...

cusp | Kodaira dimension | affine plane | Contractible curve | MATHEMATICS | MATHEMATICS, APPLIED | Q-HOMOLOGY PLANES | SURFACES | Mathematics - Algebraic Geometry

cusp | Kodaira dimension | affine plane | Contractible curve | MATHEMATICS | MATHEMATICS, APPLIED | Q-HOMOLOGY PLANES | SURFACES | Mathematics - Algebraic Geometry

Journal Article

Forum of mathematics. Sigma, ISSN 2050-5094, 2014, Volume 2

..., and the curve is of genus zero. Generalizations apply in the case of multiple singular points. 2010 Mathematics Subject Classication: 14H50 (primary); 14B05, 57M25, 57R58...

Algebraic and Complex Geometry | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | LATTICE COHOMOLOGY | SINGULARITIES | 57R58 (secondary) | 57M25 | 14H50 (primary) | CUSPS | 14B05

Algebraic and Complex Geometry | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | LATTICE COHOMOLOGY | SINGULARITIES | 57R58 (secondary) | 57M25 | 14H50 (primary) | CUSPS | 14B05

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 06/2017, Volume 67, Issue 3, pp. 737 - 750

In this paper we consider the problem of the asymptotic expansion of double Laplace-type integrals, in the case when the set of points where the phase achieves...

Secondary 14H50 | Primary 41A60 | 34E20 | minimal curve | Laplace-type integrals | exit time problem | asymptotic expansion | MATHEMATICS | STATIONARY-POINTS | Asymptotic expansions | Research | Integrals | Mathematical research | Thermal expansion | Asymptotic series | Derivatives | Asymptotic properties | Asymptotic methods

Secondary 14H50 | Primary 41A60 | 34E20 | minimal curve | Laplace-type integrals | exit time problem | asymptotic expansion | MATHEMATICS | STATIONARY-POINTS | Asymptotic expansions | Research | Integrals | Mathematical research | Thermal expansion | Asymptotic series | Derivatives | Asymptotic properties | Asymptotic methods

Journal Article

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, ISSN 0138-4821, 10/2015, Volume 56, Issue 2, pp. 695 - 702

Let $$C \subset {\mathbb P}^2$$ C ⊂ P 2 be a smooth plane curve, and $$P_1, \ldots , P_m$$ P 1 , … , P m be all inner and outer Galois points for $$C$$ C ....

Geometry | Galois point | Algebra | Secondary 14H50 | Convex and Discrete Geometry | Plane curve | Birational transformation | Primary 14H37 | Algebraic Geometry | Mathematics | Automorphism group

Geometry | Galois point | Algebra | Secondary 14H50 | Convex and Discrete Geometry | Plane curve | Birational transformation | Primary 14H37 | Algebraic Geometry | Mathematics | Automorphism group

Journal Article

Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 06/2014, Volume 22, Issue 2, pp. 99 - 108

In this paper, we calculate Frenet frames of the ( ), ( ) and ( ) of the curve α in ℝ which are spherical curves. Also, we give some differential equations...

Euclidean 3-spaces | Secondary 14H50, 53A04 | Primary 14H45 | circle | General helices | indicatrix | Circle | Indicatrix | MATHEMATICS | MATHEMATICS, APPLIED

Euclidean 3-spaces | Secondary 14H50, 53A04 | Primary 14H45 | circle | General helices | indicatrix | Circle | Indicatrix | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 06/2016, Volume 12, Issue 4, pp. 955 - 967

We prove that the defining equations of the Fermat curves of prime degree cannot be written as the determinant of symmetric matrices with entries in linear...

determinantal representation | Fermat curves | Plane curve | theta characteristic | MATHEMATICS | MORDELL-WEIL GROUPS | POINTS

determinantal representation | Fermat curves | Plane curve | theta characteristic | MATHEMATICS | MORDELL-WEIL GROUPS | POINTS

Journal Article

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