4 citations · 4 across the 3 of their papers we have counts for
4 papers
Homogeneous Interpolation and Some Continued Fractions
Ivan Petrakiev
We prove: if , there is no curve of degree passing through general points with multiplicity in . Similar results are given for other spec…
On self-associated sets of points in small projective spaces
Ivan Petrakiev
We study moduli of ``self-associated'' sets of points in for small . In particular, we show that for a general such set arises as a hyperplane section of the L…
A Step in Castelnuovo theory via Grobner bases
Ivan Petrakiev
We establish the first previously unknown case of the Eisenbud-Harris conjecture in Castelnuovo theory concerning algebraic curves of high genus in . The problem is redu…
Multiple points in P^2 and degenerations to elliptic curves
Ivan Petrakiev
We consider the problem of bounding the dimension of the linear system of curves in of degree with prescribed multiplicities at general points (\c…