Around cubic hypersurfaces Olivier Debarre June 23, 2015 Abstract A cubic hypersurface X is defined by one polynomial equation of degree 3 in n variables with coefficients in a field K, such as

Source URL: www.math.ens.fr

• Geometry
• Algebraic geometry
• Algebra
• Projective geometry
• Algebraic curves
• Analytic geometry
• Elliptic curve cryptography
• Conic sections
• Elliptic curve
• Quadric
• Rational point
• Cubic plane curve

INTERSECTIONS OF POLYNOMIAL ORBITS, AND A DYNAMICAL MORDELL-LANG CONJECTURE DRAGOS GHIOCA, THOMAS J. TUCKER, AND MICHAEL E. ZIEVE Abstract. We prove that if nonlinear complex polynomials of the same degree have orbits wi

Source URL: dept.math.lsa.umich.edu

Facts about two-dimensional polynomialsGiven: f (x, y) = f00 + f10x + f01y + f11xy + ... + fttxty t ∈ F[x, y] Fact 1: fy0 (x) := f (x, y0) is a one-dimensional polynomial of degree t. Proof: f (x, y0) = (f00 +

Source URL: www.crypto.ethz.ch

A Characterization of Semisimple Plane Polynomial Automorphisms. Jean-Philippe FURTER, Dpt. of Math., Univ. of La Rochelle, av. M. Crépeau, La Rochelle, FRANCE email:

Source URL: perso.univ-lr.fr

• Algebra
• Mathematics
• Abstract algebra
• Lie groups
• Polynomials
• Unitary group
• Ring
• Automorphism
• Diagonalizable matrix
• Degree of a continuous mapping
• Factorization of polynomials over finite fields
• Finite field

EQUATIONS FOR CHOW VARIETIES, THEIR SECANT VARIETIES AND OTHER VARIETIES ARISING IN COMPLEXITY THEORY A Dissertation by YONGHUI GUAN

Source URL: www.math.tamu.edu

• Algebraic geometry
• Algebra
• Geometry
• Algebraic varieties
• Algebraic surfaces
• Chow coordinates
• Abelian variety
• Veronese surface
• Degree of an algebraic variety
• Polynomial
• Zariski topology
• Secant variety

Region of Attraction Estimation for a Perching Aircraft: A Lyapunov Method Exploiting Barrier Certificates Elena Glassman, Alexis Lussier Desbiens, Mark Tobenkin, Mark Cutkosky, and Russ Tedrake Abstract— Dynamic perch

Source URL: eglassman.github.io

• Polynomials
• Mathematics
• Mathematical analysis
• Algebra
• Polynomial
• Optimization problem
• Convex optimization
• Mathematical optimization
• Degree of a polynomial
• Numerical analysis

Project 1: Part 1 Project 1 will be to calculate orthogonal polynomials. It will have several parts. Note: The scheme code in this writeup is available in the file project1.scm, available from the course web page. Warmup

Source URL: www.math.purdue.edu

• Polynomials
• Quadratic formula
• Homogeneous polynomial
• Irreducible polynomial
• Degree of a polynomial

689 Documenta Math. Hessian Ideals of a Homogeneous Polynomial and Generalized Tjurina Algebras

Source URL: www.math.uiuc.edu

• Algebraic geometry
• Algebraic varieties
• Commutative algebra
• Singularity theory
• Hilbert series and Hilbert polynomial
• Projective variety
• Hypersurface
• Hessian matrix
• Degree of an algebraic variety
• Product

ALGEBRAIC STRUCTURE AND DEGREE REDUCTION Let S ⊂ Fn . We define deg(S) to be the minimal degree of a non-zero polynomial that vanishes on S. We have seen that for a finite set S, deg(S) ≤ n|S|1/n . In fact, we can sa

Source URL: math.mit.edu

• Mathematics
• Mathematical analysis
• Algebra
• Polynomials
• Transcendental numbers
• Diophantine approximation
• Coding theory
• Algebraic function
• Elliptic curve

Integer Optimization Toolbox Pooya Ronagh∗ August 13, 2013 In what follows, we explain how the Integer Optimization Toolbox approaches the problem of minimization of a (low degree) polynomial over an integer lattice. I

Source URL: www.1qbit.com