O Serre-Duality for coherent sheaves on rigid-analytic spaces.
On 0-dimensional complete intersections.
On 2-Spannedness for the adjunction mapping.
On a birational classification of bundles and reflexive sheaves on surfaces
On a certain generalization of spherical twists
This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of -curves on threefolds, or deforming -objects introduced by D.Huybrechts and R.Thomas.
On a conjecture of Kottwitz and Rapoport
We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur’s Inequality for all (connected) split and quasi-split unramified reductive groups. Our results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.
On a generalization of Hilbert's 21st problem
On a geometric property of the normal bundle of surfaces in IP4.
On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic p.
On a question of Demailly-Peternell-Schneider
We give an affirmative answer to an open question posed by Demailly-Peternell-Schneider in 2001 and recently by Peternell. Let be a surjective morphism from a log canonical pair onto a -Gorenstein variety . If is nef, we show that is pseudo-effective.
On a spanned tautological bundle.
On abelian separable extensions and Galois sets of rings
On abelian subvarieties generated by symmetric correspondences.
On adelic Chern forms and the Bott residue formula
On algebraic curves.
On Almost Complete Intersections.
On Ample and spanned Rank-3 Bundles with Low Chern numbers.
On ample and spanned vector bundles with zero ...-genera.
On Artin-Verdier Duality for Function Fields.
On Bănică sheaves and Fano manifolds