I. Petrakiev

most citedA Step in Castelnuovo theory via Grobner bases

4 citations · 4 across the 2 of their papers we have counts for

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math.AG2006

On self-associated sets of points in small projective spaces

Ivan Petrakiev

We study moduli of ``self-associated'' sets of points in $P^{n}$ for small $n$ . In particular, we show that for $n = 5$ a general such set arises as a hyperplane section of the L…

math.AG2006★ 4 cited

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 $P^{n}$ . The problem is redu…

math.AG2004

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 $P^{2}$ of degree $d$ with prescribed multiplicities $m_{1}, ..., m_{n}$ at $n$ general points (\c…