Genre topologique de corps valués.
Genre topologique des corps values
Genres de Todd et valeurs aux entiers des dérivées de fonctions
La géométrie d’Arakelov étudie les fibrés vectoriels sur une variété algébrique définie sur les entiers, munis d’une métrique hermitienne lisse sur le fibré holomorphe associé (sur la variété analytique des points complexes de ). Un théorème de “Riemann-Roch arithmétique” calcule le covolume du réseau euclidien des sections globales d’un tel fibré. Dans cette formule, le genre de Todd comporte un terme complémentaire, défini par une série formelle dont les coefficients font intervenir les valeurs...
Genus 3 normal coverings of the Riemann sphere branched over 4 points.
In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families.
Genus one curves defined by separated variable polynomials and a polynomial Pell equation
Geodesic Flow on SO(4) and Abelian Surfaces.
Geography for surfaces of general type in positive characteristic.
Geography of log models: theory and applications
This is an introduction to geography of log models with applications to positive cones of Fano type (FT) varieties and to geometry of minimal models and Mori fibrations.
Geometria delle varietà Kuga-Satake
Geometric algebraicity of moduli spaces of compact Kähler symplectic manifolds.
Geometric and arithmetic properties of the Hénon map.
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 degree of generically finite extensions.
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 Invariant Theory and Generalized Eigenvalue Problem II
Let be a connected reductive subgroup of a complex connected reductive group . Fix maximal tori and Borel subgroups of and . Consider the cone generated by the pairs of strictly dominant characters such that is a submodule of . We obtain a bijective parametrization of the faces of as a consequence of general results on GIT-cones. We show how to read the inclusion of faces off this parametrization.
Geometric invariant theory for general algebraic groups
Geometric linear normality for nodal curves on some projective surfaces
In questo lavoro si generalizzano alcuni risultati di [3] riguardanti la proprietà di alcune curve nodali, su superficie non-singolari in , di essere «geometricamente linearmente normali» (concetto che estende la ben nota proprietà di essere linearmente normale). Precisamente, per una data curva , irriducibile e dotata di soli punti nodali come uniche singolarità, che giace su una superfice proiettiva, non-singolare e linearmente normale, si determina un limite superiore «sharp» sul numero dei...
Geometric methods for cohomological invariants.
Geometric physics.