The non-existence of a smooth sectionally non-special surface of degree 11 and sectional genus 8 in the projective fourspace.
The number of conics tangent to five given conics: the real case.
It is a classical result, first established by de Jonquières (1859), that generically the number of conics tangent to 5 given conics in the complex projective plane is 3264. We show here the existence of configurations of 5 real conics such that the number of real conics tangent to them is 3264.
The number of points on certain families of hypersurfaces over finite fields
The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space P (2,1...).
The number of reducible hypersurfaces in a pencil.
The number of reducible hypersurfaces in a pencil (Erratum).
The Number of Twisted Cubic Curves on the General Quintic Threefold.
The osculating hyperquadrics of the three-component distribution in affine space
The Placement of Electronic Circuits Problem: A Neural Network Approach
The goal of this paper is to apply the Continuous Hopfield Networks (CHN) to the Placement of Electronic Circuit Problem (PECP). This assignment problem has been expressed as Quadratic Knapsack Problem (QKP). To solve the PECP via the CHN, we choose an energy function which ensures an appropriate balance between minimization of the cost function and simultaneous satisfaction of the PECP constraints. In addition, the parameters of this function must...
The special Schubert calculus is real.
The superpolynomial for knot homologies.
The theorem of matheer on generic projections in the setting of algebraic geometry.
The transversality of a general translate
The Uniform Position Principle for Curves in Characteristic p.
The Waring loci of ternary quartics.
Théorie combinatoire de la dimension d'une variété algébrique
Thom polynomials and Schur functions: the singularities
We give the Thom polynomials for the singularities associated with maps with parameter . Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.
Thom polynomials and Schur functions: the singularities
We give a closed formula for the Thom polynomials of the singularities in terms of Schur functions. Our computations combine the characterization of the Thom polynomials via the “method of restriction equations” of Rimányi et al. with the techniques of Schur functions.
Threefolds in P5 with a 3-dimensional family of plane curves.
Tie transformations of Dynkin graphs and singularities on quartic surfaces.