Galois rigidity of the étale fundamental groups of punctured projective lines.
Galois structure of de Rham cohomology
Galoisgruppen über aufgeschlossenen reellen Funktionskörpern.
Gaps in Chern Classes of Rank 2 Stable Reflexive Sheaves.
Gauss sums and algebraic cycles
Gauss–Manin connections for -adic families of nearly overconvergent modular forms
We interpolate the Gauss–Manin connection in -adic families of nearly overconvergent modular forms. This gives a family of Maass–Shimura type differential operators from the space of nearly overconvergent modular forms of type to the space of nearly overconvergent modular forms of type with -adic weight shifted by . Our construction is purely geometric, using Andreatta–Iovita–Stevens and Pilloni’s geometric construction of eigencurves, and should thus generalize to higher rank groups.
Gauss-Manin stratification and stratified fundamental group schemes
We define the zero-th Gauss-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.
General stable bundles arising as normal bundles of projective curves.
Generalization of -adic cohomology ; bounded Witt vectors. A canonical lifting of a variety in characteristic back to characteristic zero
Generalized Fourier-Mukai transforms.
Generalized Intermediate Jacobians and the Theorem on Normal Functions.
Generalized Koszul complexes and Hochschild (co-)homology of complete intersections.
Generalized ring of norms and generalized -modules
Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces.
Generischer Spaltungstyp und zweite Chernklasse stabiler Vektorraumbündel vom Rang 4 auf IP4.
Geometric and categorical nonabelian duality in complex geometry
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
Geometric description of the connecting homomorphism for Witt groups.
Geometric genera for ample vector bundles with regular sections.
Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus pg(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: pg(X,E) ≥ hn-r,0(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.
Geometric methods for cohomological invariants.
Geometrically ruled surfaces as zero loci of ample vector bundles.