Journal of Mathematical Biology, ISSN 0303-6812, 6/2015, Volume 70, Issue 7, pp. 1669 - 1684

...J. Math. Biol. (2015) 70:1669–1684 DOI 10.1007/s00285-014-0809-4 Mathematical Biology Implicit dose-response curves Mercedes Pérez Millán · Alicia Dickenstein...

92C45 | Mathematical and Computational Biology | Steady states | Bounds | 13P15 | Mathematics | Applications of Mathematics | Resultants | Maximal response | Chemical reaction networks | STEADY-STATES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | CASCADES | Dose-Response Relationship, Drug | Phosphorylation | Metabolic Networks and Pathways | Models, Biological | Mathematical Concepts | Kinetics | Systems Biology | Enzymes - metabolism | MAP Kinase Signaling System | Chemical reactions | Research | Variables (Mathematics) | Mathematical research | Dynamical systems

92C45 | Mathematical and Computational Biology | Steady states | Bounds | 13P15 | Mathematics | Applications of Mathematics | Resultants | Maximal response | Chemical reaction networks | STEADY-STATES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | CASCADES | Dose-Response Relationship, Drug | Phosphorylation | Metabolic Networks and Pathways | Models, Biological | Mathematical Concepts | Kinetics | Systems Biology | Enzymes - metabolism | MAP Kinase Signaling System | Chemical reactions | Research | Variables (Mathematics) | Mathematical research | Dynamical systems

Journal Article

Designs, Codes and Cryptography, ISSN 0925-1022, 10/2018, Volume 86, Issue 10, pp. 2279 - 2314

Computing discrete logarithms is generically a difficult problem. For divisor class groups of curves defined over extension fields, a variant of the Index...

Gröbner bases | Information and Communication, Circuits | Data Encryption | Mathematics | Data Structures, Cryptology and Information Theory | Index calculus | Curve-based cryptography | Discrete logarithm | Algebraic attacks | 14G50 | Discrete Mathematics in Computer Science | Coding and Information Theory | Algebraic curves | Combinatorics

Gröbner bases | Information and Communication, Circuits | Data Encryption | Mathematics | Data Structures, Cryptology and Information Theory | Index calculus | Curve-based cryptography | Discrete logarithm | Algebraic attacks | 14G50 | Discrete Mathematics in Computer Science | Coding and Information Theory | Algebraic curves | Combinatorics

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 12/2019, Volume 223, Issue 12, pp. 5055 - 5066

In this note we describe the minimal resolution of the ideal If, the saturation of the Jacobian ideal of a nearly free plane curve C:f=0...

Tjurina number | Nearly free curve | Rational cuspidal curve | Jacobian ideal | Free curve | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | LEFSCHETZ PROPERTIES | CONFIGURATIONS | Algebraic Geometry | Commutative Algebra | Mathematics

Tjurina number | Nearly free curve | Rational cuspidal curve | Jacobian ideal | Free curve | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | LEFSCHETZ PROPERTIES | CONFIGURATIONS | Algebraic Geometry | Commutative Algebra | Mathematics

Journal Article

Wireless Personal Communications, ISSN 0929-6212, 7/2018, Volume 101, Issue 1, pp. 439 - 451

Elliptic curve cryptography provides better security and is more efficient as compared to other public key cryptosystems with identical key size...

Engineering | Signal,Image and Speech Processing | Non-linearity | Substitution box | Algebraic complexity | Differential approximation probability | Communications Engineering, Networks | Elliptic curve | Computer Communication Networks

Engineering | Signal,Image and Speech Processing | Non-linearity | Substitution box | Algebraic complexity | Differential approximation probability | Communications Engineering, Networks | Elliptic curve | Computer Communication Networks

Journal Article

Journal of computational and applied mathematics, ISSN 0377-0427, 2014, Volume 269, pp. 1 - 13

A novel and deterministic algorithm is presented to detect whether two given rational plane curves are related by means of a similarity, which is a central question in Pattern Recognition...

Pattern Recognition | Similarity of planar algebraic curves | Rational planar curves | Similarity detection | INVARIANT SIGNATURE CURVES | MATHEMATICS, APPLIED | SYMMETRY DETECTION | RECOGNITION | ALGEBRAIC-CURVES | Algorithms

Pattern Recognition | Similarity of planar algebraic curves | Rational planar curves | Similarity detection | INVARIANT SIGNATURE CURVES | MATHEMATICS, APPLIED | SYMMETRY DETECTION | RECOGNITION | ALGEBRAIC-CURVES | Algorithms

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 9/2016, Volume 346, Issue 3, pp. 967 - 994

Mirror manifolds to toric Calabi–Yau threefolds are encoded in algebraic curves. The quantization of these curves leads naturally to quantum-mechanical operators on the real line...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | CHERN-SIMONS THEORY | PHYSICS, MATHEMATICAL

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | CHERN-SIMONS THEORY | PHYSICS, MATHEMATICAL

Journal Article

2010, 2nd ed., Graduate texts in mathematics, ISBN 0387094938, Volume 106., xx, 513

Book

Journal of algebraic combinatorics, ISSN 1572-9192, 2012, Volume 37, Issue 2, pp. 331 - 359

We study the locus of tropical hyperelliptic curves inside the moduli space of tropical curves of genus g...

Hyperelliptic curves | Metric graphs | Convex and Discrete Geometry | Tropical geometry | Tropical curves | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Harmonic morphisms | Combinatorics | Computer Science, general | Metric graphs | LINEAR-SYSTEMS | MATHEMATICS | RIEMANN-ROCH | GEOMETRY

Hyperelliptic curves | Metric graphs | Convex and Discrete Geometry | Tropical geometry | Tropical curves | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Harmonic morphisms | Combinatorics | Computer Science, general | Metric graphs | LINEAR-SYSTEMS | MATHEMATICS | RIEMANN-ROCH | GEOMETRY

Journal Article

Revista Matematica Iberoamericana, ISSN 0213-2230, 2017, Volume 33, Issue 1, pp. 169 - 182

In this paper we present a method for computing the set of twists of a non-singular projective curve defined over an arbitrary (perfect) field k...

Non-hyperelliptic curves | Galois embedding problems | Twists | MATHEMATICS | GENUS-2 | SATO-TATE DISTRIBUTIONS

Non-hyperelliptic curves | Galois embedding problems | Twists | MATHEMATICS | GENUS-2 | SATO-TATE DISTRIBUTIONS

Journal Article

Duke Mathematical Journal, ISSN 0012-7094, 2015, Volume 164, Issue 6, pp. 1041 - 1077

We prove that there are only finitely many algebraically primitive Teichmuller curves in the minimal stratum in each prime genus at least 3...

SPACE | MATHEMATICS | QUADRATIC-DIFFERENTIALS | VEECH SURFACES | BILLIARDS | RIEMANN SURFACES | GENUS-2 | HILBERT MODULAR SURFACES | ABELIAN DIFFERENTIALS | TRANSFORMATIONS | Veech surfaces | Hodge–Teichmueller planes | 37D40 | 30F60 | algebraically primitive Veech surfaces

SPACE | MATHEMATICS | QUADRATIC-DIFFERENTIALS | VEECH SURFACES | BILLIARDS | RIEMANN SURFACES | GENUS-2 | HILBERT MODULAR SURFACES | ABELIAN DIFFERENTIALS | TRANSFORMATIONS | Veech surfaces | Hodge–Teichmueller planes | 37D40 | 30F60 | algebraically primitive Veech surfaces

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 04/2018, Volume 14, Issue 3, pp. 693 - 704

In this note, we investigate the p -degree function of an elliptic curve E / ℚ p . The p -degree measures the least complexity of a non-zero p -torsion point on E...

torsion groups | p -adic fields | Elliptic curves | MATHEMATICS | p-adic fields

torsion groups | p -adic fields | Elliptic curves | MATHEMATICS | p-adic fields

Journal Article

01/2019, Moscow Lectures, ISBN 9783030029425, Volume 2, 1

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves...

eBook

Journal of algebraic combinatorics, ISSN 1572-9192, 2019, Volume 51, Issue 2, pp. 171 - 194

... of conditions imposed by a general fat point of multiplicity j on the linear system of curves of degree j...

Linear systems | Splitting types | Fat points | Line arrangements | MATHEMATICS | REAL | SIMPLICIAL ARRANGEMENTS

Linear systems | Splitting types | Fat points | Line arrangements | MATHEMATICS | REAL | SIMPLICIAL ARRANGEMENTS

Journal Article

Journal of computational and applied mathematics, ISSN 0377-0427, 2019, Volume 357, pp. 302 - 318

We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not two given implicit planar algebraic curves are similar, i.e...

Similarity | Harmonic polynomials | Dihedral groups | Planar algebraic curves | Symmetry detection | MATHEMATICS, APPLIED | Analysis | Algorithms

Similarity | Harmonic polynomials | Dihedral groups | Planar algebraic curves | Symmetry detection | MATHEMATICS, APPLIED | Analysis | Algorithms

Journal Article

2008, Volume 465

Conference Proceeding

Mathematische Nachrichten, ISSN 1522-2616, 2019, Volume 292, Issue 11, pp. 2338 - 2351

In this paper we use admissible covers to investigate the gonality of a stable curve C over C...

14H51 | stable curves | admissible covers | gonality | Hurwitz schemes | 14H10 | Mathematics - Algebraic Geometry

14H51 | stable curves | admissible covers | gonality | Hurwitz schemes | 14H10 | Mathematics - Algebraic Geometry

Journal Article

Journal of Algebra, ISSN 0021-8693, 09/2017, Volume 485, pp. 310 - 331

...¯-linearized polynomials L1,L2∈F‾q[T] of degree q, we construct an ordinary curve X(L1,L2) of genus g=(q−1)2 which is a generalized Artin...

Finite fields | Automorphism groups | Algebraic curves | Algebraic function fields | MATHEMATICS

Finite fields | Automorphism groups | Algebraic curves | Algebraic function fields | MATHEMATICS

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 4/2018, Volume 288, Issue 3, pp. 1165 - 1193

Given a finite morphism $$\varphi :Y\rightarrow X$$ φ:Y→X of quasi-smooth Berkovich curves over a complete, non-archimedean, nontrivially valued algebraically closed field k of characteristic 0, we prove a Riemann...

Mathematics, general | Mathematics | Berkovich spaces | Berkovich curves | p -Adic Runge’s theorem | Riemann–Hurwitz formula | p-Adic Runge’s theorem | MATHEMATICS | COHOMOLOGY | SPACES | COVERINGS | Riemann-Hurwitz formula | p-Adic Runge's theorem | Algebraic Geometry

Mathematics, general | Mathematics | Berkovich spaces | Berkovich curves | p -Adic Runge’s theorem | Riemann–Hurwitz formula | p-Adic Runge’s theorem | MATHEMATICS | COHOMOLOGY | SPACES | COVERINGS | Riemann-Hurwitz formula | p-Adic Runge's theorem | Algebraic Geometry

Journal Article

Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 04/2019, Volume 2019, Issue 749, pp. 161 - 200

Severi varieties and Brill–Noether theory of curves on K3 surfaces are well understood...

EXISTENCE | MATHEMATICS | HILBERT SCHEME | LINEAR SERIES | FAMILIES | COMPONENTS | RATIONAL CURVES | EXPECTED NUMBER | SINGULAR CURVES | MODULI | SYZYGY CONJECTURE

EXISTENCE | MATHEMATICS | HILBERT SCHEME | LINEAR SERIES | FAMILIES | COMPONENTS | RATIONAL CURVES | EXPECTED NUMBER | SINGULAR CURVES | MODULI | SYZYGY CONJECTURE

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2014, Volume 193, Issue 4, pp. 961 - 973

A separating ( $$M-2$$ )-curve is a smooth geometrically irreducible real projective curve $$X$$ such that $$X(\mathbb{R })$$ has $$g-1...

14H05 | Real curve | Special type | Linear pencil | 14P99 | Mathematics, general | Teichmüller space | Mathematics | Separating gonality | 14H51 | MATHEMATICS | MATHEMATICS, APPLIED | REAL ALGEBRAIC-CURVES | Teichmuller space

14H05 | Real curve | Special type | Linear pencil | 14P99 | Mathematics, general | Teichmüller space | Mathematics | Separating gonality | 14H51 | MATHEMATICS | MATHEMATICS, APPLIED | REAL ALGEBRAIC-CURVES | Teichmuller space

Journal Article

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