A Gorenstein sequence H is a sequence of nonnegative integers H=(1, h1,…, hj= 1)
symmetric about j/2 that occurs as the Hilbert function in degrees less or equal j of a …

We study the component H n of the Hilbert scheme whose general point parameterizes a
pair of codimension two linear subspaces in ℙ n for n≥ 3. We show that H n is smooth and …

We run Mori's program for the Kontsevich space of stable maps and give modular
interpretations of all the intermediate spaces appearing in the process. In particular, we …

This text is an expanded version of the lecture notes I wrote for the PhD course Introduction
to enumerative geometry–Classical and virtual techniques I gave at SISSA in the fall of …

Bridgeland stability conditions are powerful tools for studying derived categories, with
several applications to algebraic geometry. They were introduced by Bridgeland in 2002 …

We investigate rank 3 instanton vector bundles on P 3 P^3 of charge nn and its
correspondence with rational curves of degree n+ 3 n+3. For n= 2 n=2, we present a …

Inspired by Schmidt's work on twisted cubics, we study wall crossings in Bridgeland stability,
starting with the Hilbert scheme Hilb 2 m+ 2 (P 3) parametrizing pairs of skew lines and …

Inspired by Schmidt's work on twisted cubics, we study wall crossings in Bridgeland stability,
starting with the Hilbert scheme $\mathrm {Hilb}^{2m+ 2}(\mathbb {P}^ 3) $ parametrizing …

Topological Abel-Jacobi Map for Hypersurfaces in Complex Projective Four-Space Page 1
Topological Abel-Jacobi Map for Hypersurfaces in Complex Projective Four-Space Dissertation …

A pair of disjoint lines on a smooth cubic threefold determines an irreducible component of
the Hilbert scheme. We prove that this component is smooth and isomorphic to the blow-up …