The extended polar writhe: a tool for open curves mechanics

In a previous paper ([2]) we have determined the singularities of the generic polar curves of a sufficiently general irreducible algebroid curve 7 with prescribed

Like GLV, our method involves reducing curves defined over number fields to obtain curves over finite fields with explicit CM.. However, we emphasise a profound difference: in

The proof is based on a result on Prym varieties stated in [12], which asserts that a very generic Prym variety, of dimension greater or equal to 4, of a ramified double covering is

Another scenario requiring a conversion of points is discussed in [30] and concerns standardized cryptosystems like ECDSA, which use (affine) Weierstraß coordinates as “wire

The novel contributions of this analysis are (1) the introduction of dimensionality reduction on human antibody profiles to construct an age-seroprevalence relationship for

has shown that one can also bound the height of integral points of an elliptic curve E using lower bounds for linear forms in elliptic logarithms, in a more natural way than

Moreover, for d = 3, he also proved in [11, Corollary] that, for any integer m > 1, the number of rational curves of degree m which meet set-theoretically a given (arbitrary)

Despite the complicated evolution of the internal en- ergy of the clusters as the number of collision increases, the size distribution, for a given collision energy and den- sity in