The Clifford dimension of a projective curve
The (dimension + 2)-secant Lemma.
The enumeration of simultaneous higher-order contacts between plane curves
The enumerative geometry of plane cubics. II. Nodal and cuspidal cubics.
The Galois group of the tangency problem for plane curves.
The Genus of Space Curves.
The geometric and numerical properties of duality in projective algebraic geometry.
The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.
The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.
The hyperosculating points of surfaces in
The intersection conics of six straight lines.
The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The Missing Seventh Circle.
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 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...