A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A counterexample to a conjecture on linear systems on .
A counterexample to the theorem of Beppo Levi in three dimensions.
A criterion for a variety to be cone.
A criterion for algebraicity of certain analytic elliptic surfaces.
A Criterion for Flatness of Hodge Bundles over Curves and Geometrie Applications.
A Criterion for the Canonical Bundle of a 3-Fold to be Amble.
A criterion for the ideal of a projectively embedded toric surface to be generated by quadrics.
A description of Chern classes of semistable sheaves on a quadric surface.
A duality result for moduli spaces of semistable sheaves supported on projective curves
A family of K3 surfaces and ... (3).
A Finiteness Property of Varieties of General Type.
A footnote to a paper by Noma
Let be a globally generated ample vector bundle of rank on a complex projective smooth surface . By extending a recent result by A. Noma, we classify pairs as above satisfying .
A Foruier-Mukai transform for stable bundles on K3 surfaces.
A genericity theorem for algebraic stacks and essential dimension of hypersurfaces
We compute the essential dimension of the functors Forms and Hypersurf of equivalence classes of homogeneous polynomials in variables and hypersurfaces in , respectively, over any base field of characteristic . Here two polynomials (or hypersurfaces) over are considered equivalent if they are related by a linear change of coordinates with coefficients in . Our proof is based on a new Genericity Theorem for algebraic stacks, which is of independent interest. As another application of the...
A Geometric Study of the Monodromy of Complex Analytic Surfaces.
A Geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse.
A global mirror symmetry framework for the Landau–Ginzburg/Calabi–Yau correspondence
We show how the Landau–Ginzburg/Calabi–Yau correspondence for the quintic three-fold can be cast into a global mirror symmetry framework. Then we draw inspiration from Berglund–Hübsch mirror duality construction to provide an analogue conjectural picture featuring all Calabi–Yau hypersurfaces within weighted projective spaces and certain quotients by finite abelian group actions.
A higher Albanese map for complex threefolds based on a construction by M. Green
We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.
A mathematical proof of a formula of Aspinwall and Morrison