Add to ORKGABSTRACT: In this paper we study the X-rank of points with respect to smooth linearly normal curves X ⊂ P n of genus g and degree n + g. We prove that, for such a curve X, under certain circumstances, the X-rank of a general point of X-border rank equal to s is less or equal than n + 1 − s. In the particular case of g = 2 we give a complete description of the X-rank if n = 3, 4; while if n ≥ 5 we study the X-rank of points belonging to the tangential variety of X
Let C subset of Pn+1 be a rational normal curve and let X subset of P-n be one of its tangential pro...
We prove that the second gauss map for a general curve of genus g is of maximal rank
We study elliptic surfaces over $\mathbb{Q}(T)$ with coefficients of a Weierstrass model being polyn...
In this paper we study the X-rank of points with respect to smooth linearly normal curves of genus g...
In this paper we study the X-rank of points with respect to smooth linearly normal curves X containe...
In this paper we improve the known bound for the $X$-rank $R_{X}(P)$ of an element $P\in {\mathbb{P}...
Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal card...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
AbstractWe define the C-rank associated to a projective curve and describe the strata of points havi...
AbstractWe find bounds for the genus of a curve over a field of characteristic p under the hypothesi...
All the results in this paper are conditional on the Riemann hypothesis for the L-functions of ellip...
Let C subset of Pn+1 be a rational normal curve and let X subset of P-n be one of its tangential pro...
We prove that the second gauss map for a general curve of genus g is of maximal rank
We study elliptic surfaces over $\mathbb{Q}(T)$ with coefficients of a Weierstrass model being polyn...
In this paper we study the X-rank of points with respect to smooth linearly normal curves of genus g...
In this paper we study the X-rank of points with respect to smooth linearly normal curves X containe...
In this paper we improve the known bound for the $X$-rank $R_{X}(P)$ of an element $P\in {\mathbb{P}...
Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal card...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
AbstractWe define the C-rank associated to a projective curve and describe the strata of points havi...
AbstractWe find bounds for the genus of a curve over a field of characteristic p under the hypothesi...
All the results in this paper are conditional on the Riemann hypothesis for the L-functions of ellip...
Let C subset of Pn+1 be a rational normal curve and let X subset of P-n be one of its tangential pro...
We prove that the second gauss map for a general curve of genus g is of maximal rank
We study elliptic surfaces over $\mathbb{Q}(T)$ with coefficients of a Weierstrass model being polyn...