Abstract We study arithmetically Cohen Macaulay bundles on cubic threefolds by using
derived category techniques. We prove that the moduli space of stable Ulrich bundles of any …

We study a class of torsion-free sheaves on complex projective spaces which generalize the
much studied mathematical instanton bundles. Instanton sheaves can be obtained as …

The existence of stable ACM vector bundles of high rank on algebraic varieties is a
challenging problem. In this paper, we study stable Ulrich bundles (that is, stable ACM …

We find some equivalences of the derived category of coherent sheaves on a Gorenstein
genus one curve that preserve the (semi)-stability of pure-dimensional sheaves. Using them …

We show that instanton bundles of rank r≤ 2 n− 1, defined as the cohomology of certain
linear monads, on an n-dimensional projective variety with cyclic Picard group are …

Now back in print, this highly regarded book has been updated to reflect recent advances in
the theory of semistable coherent sheaves and their moduli spaces, which include moduli …

Publisher Summary This chapter highlights a compactification of a moduli space of stable
vector bundles on a rational surface. It discusses semi-stable sheaves, semi-stable sheaves …

We prove that minimal instanton bundles on a Fano threefold x of Picard rank one and index
two are semistable objects in the Kuznetsov component Ku (x), with respect to the stability …

In this paper, we apply the technique of chamber structures of stability polarizations to
construct the full moduli space of rank-2 stable sheaves with certain Chern classes on …

Let $ H $ be a semisimple algebraic group. We prove the semistable reduction theorem for
$\mu $-semistable principal $ H $-bundles over a smooth projective variety $ X $ defined …