E. Schlesinger

activity

19992025

most citedHilbert Schemes of Degree Four Curves

2 citations · 4 across the 12 of their papers we have counts for

collaborators

14 papers

math.AG2025

Multiple Lines of Maximum Genus in $P^{3}$

Enrico Schlesinger

We introduce a notion of good cohomology for multiple lines in $P^{3}$ and we classify multiple lines with good cohomology up to multiplicity 4. In particular, we show that…

math.AC2025

Initial ideals of weighted forms and the genus of locally Cohen-Macaulay curves

Alessio Sammartano, Enrico Schlesinger

Let C be a locally Cohen-Macaulay curve in complex projective 3-space. The maximum genus problem predicts the largest possible arithmetic genus g(d,s) that C can achieve assuming t…

math.AG2021

Reconstructing curves from their Hodge classes

Maria Gioia Cifani, Gian Pietro Pirola, Enrico Schlesinger

Let $S$ be a smooth algebraic surface in $P^{3} (C)$ . A curve $C$ in $S$ has a cohomology class $η_{C} \in H^{1} (Ω_{S}^{1})$ . Define $α (C)$ to be…

math.AG2018

The maximum genus problem for locally Cohen-Macaulay space curves

Valentina Beorchia, Paolo Lella, Enrico Schlesinger

Let $P_{MAX} (d, s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve of degree $d$ in $P^{3}$ that is not contained in a surface of degree $< s$ . A…

math.AG2012

Smooth curves specialize to extremal curves

Robin Hartshorne, Paolo Lella, Enrico Schlesinger

Let $H_{d, g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$ in projective three space. We show that, given a smooth irreducible curve $C$ o…

math.AG2011

The Hilbert schemes of locally Cohen-Macaulay curves in P^3 may after all be connected

Paolo Lella, Enrico Schlesinger

Progress on the problem whether the Hilbert schemes of locally Cohen-Macaulay curves in projective 3 space are connected has been hampered by the lack of an answer to a question th…