Algorithms in Algebraic Geometry

1. Application of a Numerical Version of Terr Acini’s Lemma for Secants and Joins
Daniel J. Bates, Chris Peterson, Andrew J. Sommese

2. On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces
Frédéric Bihan, J. Maurice Rojast, Frank Sottile

3. Intersections of Schubert varieties and other permutation array schemes
Sara Billey, Ravi Vakil

4. Efficient Inversion of Rational Maps Over Finite Fields
Antonio Cafure, Guillermo Matera, Ariel Waissbein

5. Higher-Order Deflation for Polynomial Systems With Isolated Singular Solutions
Anton Leykin, Jan Verschelde, Ailing Zhao

6. Polars of Real Singular Plane Curves
Heidi Camilla Mork, Ragni Piene

7. Semidefinite Representation of the k-Ellipse
Jiawang Nie, Pablo A. Parrilo, Bernd Sturmfels

8. Solving Polynomial Systems Equation by Equation
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler

Keywords: Mathematics, Algebraic Geometry, Algorithms, Applications of Mathematics