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

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

Invent. Math. 196 (2014), no. 3, 733-771 In this paper we study holomorphic immersions of open Riemann surfaces into
C^n whose derivative lies in a conical...

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

International journal of pure and applied mathematics : IJPAM, ISSN 1311-8080, 2012, Volume 78, Issue 2, pp. 193 - 195

Journal Article

The Michigan mathematical journal, ISSN 0026-2285, 07/2011, Volume 60, Issue 2, pp. 243 - 269

Journal Article

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

Recently we have shown that the distance trisector curve is a transcendental curve. Since from the computational point of view this implies that no closed...

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

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

Journal Article

Resultate der Mathematik, ISSN 1420-9012, 2019, Volume 74, Issue 3, pp. 1 - 24

We describe the effect of ramified morphisms on Harbourne constants of reduced effective divisors. With this goal, we introduce the pullback of a weighted...

14J26 | algebraic surfaces | blowups | 14C20 | Mathematics, general | Mathematics | Algebraic curves | 14H50 | clusters of points | MATHEMATICS | MATHEMATICS, APPLIED

14J26 | algebraic surfaces | blowups | 14C20 | Mathematics, general | Mathematics | Algebraic curves | 14H50 | clusters of points | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

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

We study the Clifford index c of a smooth irreducible curve X in the linear series |2H| on a special K3 surface S of degree 2n in
$${{\mathbb P}}^{n+1}$$
P
n
+...

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

Advances in Geometry, ISSN 1615-715X, 10/2019, Volume 19, Issue 4, pp. 555 - 572

To study the splitting of nodal plane curves with respect to contact conics, we define the
of such curves and show that it can be used as an invariant to...

Zariski pair | double cover | Splitting curve | 32S50 | 14E20 | 14H50 | 57N35 | PLANE QUARTICS | MATHEMATICS | Splitting | Conics | Topology | Curves

Zariski pair | double cover | Splitting curve | 32S50 | 14E20 | 14H50 | 57N35 | PLANE QUARTICS | MATHEMATICS | Splitting | Conics | Topology | Curves

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

The Michigan mathematical journal, ISSN 0026-2285, 03/2015, Volume 64, Issue 1, pp. 155 - 168

For the completion B of a local geometric normal domain, V. Srinivas asked which subgroups of Cl B arise as the image of the map Cl A -> CI B on class groups...

MATHEMATICS | SINGULARITIES | COMPLETIONS | CURVES | 14B07 | 14H50 | 14H10

MATHEMATICS | SINGULARITIES | COMPLETIONS | CURVES | 14B07 | 14H50 | 14H10

Journal Article

Forum mathematicum, ISSN 1435-5337, 2020, Volume 32, Issue 1, pp. 63 - 78

We study locally Cohen–Macaulay curves of low degree in the Segre threefold and investigate the irreducible and connected components, respectively, of the...

Locally Cohen–Macaulay curve | moduli space | Hilbert scheme | 14Q05 | pure sheaf | 14H50 | 14C05 | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | Locally Cohen-Macaulay curve | FAMILIES | MODULI

Locally Cohen–Macaulay curve | moduli space | Hilbert scheme | 14Q05 | pure sheaf | 14H50 | 14C05 | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | Locally Cohen-Macaulay curve | FAMILIES | MODULI

Journal Article

Mathematische Zeitschrift, ISSN 1432-1823, 2015, Volume 282, Issue 3-4, pp. 1017 - 1031

We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in...

Tropical geometry | Mathematics, general | Tropical curves | Mathematics | 14H51 | 14H50 | Plane quartics | 14T05 | 14H45 | Algebraic geometry | MATHEMATICS | RIEMANN-ROCH | GEOMETRY

Tropical geometry | Mathematics, general | Tropical curves | Mathematics | 14H51 | 14H50 | Plane quartics | 14T05 | 14H45 | Algebraic geometry | MATHEMATICS | RIEMANN-ROCH | GEOMETRY

Journal Article

Mathematische Annalen, ISSN 0025-5831, 10/2016, Volume 366, Issue 1, pp. 219 - 247

The behavior of norms of roots of univariate trinomials
$$z^{s+t} + p z^t + q \in \mathbb {C}[z]$$
z
s
+
t
+
p
z
t
+
q
∈
C
[
z
]
for fixed support
$$A =...

55P15 | 55R10 | 12D10 | Mathematics, general | Mathematics | 14H50 | 14D05 | MATHEMATICS | STABLE POLYNOMIALS | AMEBAS | DETERMINANTS | GEOMETRY

55P15 | 55R10 | 12D10 | Mathematics, general | Mathematics | 14H50 | 14D05 | MATHEMATICS | STABLE POLYNOMIALS | AMEBAS | DETERMINANTS | GEOMETRY

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 04/2016, Volume 289, Issue 5-6, pp. 523 - 536

We classify globally generated vector bundles on P1×P2 with small first Chern class, i.e. c1=(a,b), a+b≤3. Our main method is to investigate the associated...

curves in projective spaces | globally generated | vector bundles | 14J60 | 14M07 | 14H50 | Segre variety | Vector bundles | Curves in projective spaces | Globally generated | MATHEMATICS | CURVES

curves in projective spaces | globally generated | vector bundles | 14J60 | 14M07 | 14H50 | Segre variety | Vector bundles | Curves in projective spaces | Globally generated | MATHEMATICS | CURVES

Journal Article

Boletim da Sociedade Brasileira de Matemática, ISSN 1678-7714, 2018, Volume 50, Issue 3, pp. 717 - 743

Let C be a nodal curve and L be an invertible sheaf on C. Let
$$\alpha _{L}:C\dashrightarrow J_{C}$$
α
L
:
C
⤏
J
C
be the degree-1 rational Abel map, which...

Mathematics, general | Nodal curves | Mathematics | 14H50 | Theoretical, Mathematical and Computational Physics | Abel map | MATHEMATICS | COMPACTIFICATION | Mathematics - Algebraic Geometry

Mathematics, general | Nodal curves | Mathematics | 14H50 | Theoretical, Mathematical and Computational Physics | Abel map | MATHEMATICS | COMPACTIFICATION | Mathematics - Algebraic Geometry

Journal Article

manuscripta mathematica, ISSN 0025-2611, 5/2018, Volume 156, Issue 1, pp. 137 - 147

In this note we compute the number of general points through which a general Brill–Noether space curve passes.

Geometry | Topological Groups, Lie Groups | 14H60 | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | 14H50 | MATHEMATICS

Geometry | Topological Groups, Lie Groups | 14H60 | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | 14H50 | MATHEMATICS

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2018, Volume 176, Issue 1, pp. 225 - 251

In this paper, a general methodology to approximate sets of data points through Non-uniform Rational Basis Spline (NURBS) curves is provided. The proposed...

Reverse engineering | 33E20 | Modular systems | Mathematics | Theory of Computation | 14H50 | 90C27 | Optimization | Genetic algorithms | NURBS curves | 90C10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C11 | 90C56 | Applications of Mathematics | Engineering, general | Curve fitting | CORE | MATHEMATICS, APPLIED | SANDWICH PLATES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MULTISCALE APPROACH | OPTIMUM DESIGN | Evolutionary biology | Algorithms | Variables | Data points | Mathematical analysis | Biological evolution | Nonlinear programming | Curvature | Design optimization

Reverse engineering | 33E20 | Modular systems | Mathematics | Theory of Computation | 14H50 | 90C27 | Optimization | Genetic algorithms | NURBS curves | 90C10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C11 | 90C56 | Applications of Mathematics | Engineering, general | Curve fitting | CORE | MATHEMATICS, APPLIED | SANDWICH PLATES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MULTISCALE APPROACH | OPTIMUM DESIGN | Evolutionary biology | Algorithms | Variables | Data points | Mathematical analysis | Biological evolution | Nonlinear programming | Curvature | Design optimization

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 Geometry, ISSN 1615-715X, 10/2016, Volume 16, Issue 4, pp. 437 - 464

Given a point
(the light position) in ℙ
and an algebraic surface 𝓩 (the mirror) of ℙ
, the caustic by reflection Σ
𝓩. We use the ramification method to...

polar | 14N10 | pro-branch | 14H50 | 14N05 | Caustic | 14E05 | class | intersection number | MATHEMATICS | FOCAL LOCI | Hazardous substances

polar | 14N10 | pro-branch | 14H50 | 14N05 | Caustic | 14E05 | class | intersection number | MATHEMATICS | FOCAL LOCI | Hazardous substances

Journal Article

Advances in mathematics (New York. 1965), 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

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