Rigid geometry on projective varieties
نویسندگان
چکیده
منابع مشابه
Rigid Analytic Geometry and Abelian Varieties
The purpose of these notes is to introduce the basic notions of rigid analytic geometry, with the aim of discussing the non-archimedean uniformizations of certain abelian varieties.
متن کاملLines on Projective Varieties
I prove two theorems: Let X ⊂ P be a hypersurface and let x ∈ X be a general point. If the set of lines having contact to order k with X at x is of dimension greater than expected, then the lines having contact to order k are actually contained in X. A variety X is said to be covered by lines if there exist a finite number of lines in X passing through a general point. Let X ⊂ P be a variety co...
متن کاملSome Extremal Contractions between Smooth Varieties Arising from Projective Geometry
Let ψ : X → Y be a proper morphism with connected fibers from a smooth projective variety X onto a normal variety Y , i.e. a contraction. If −KX is ψ-ample, then ψ is said to be an extremal contraction and if moreover Pic(X)/ψ(Pic(Y )) ≃ Z then ψ is said to be an elementary extremal contraction or a Fano-Mori contraction. Usually contractions are divided into two types: birational and of fiber ...
متن کاملRigid-analytic geometry and the uniformization of abelian varieties
The purpose of these notes is to introduce some basic notions of rigid-analytic geometry, with the aim of discussing the non-archimedean uniformizations of certain abelian varieties.
متن کاملDiophantine Inequalities on Projective Varieties
then the set of solutions of (1.1) lies in the union of finitely many proper linear subspaces of P. We give an equivalent formulation on which we shall focus in this paper. Let {l0, . . . , lN} be the union of the sets {l0v, . . . , lnv} (v ∈ S). Define the map φ : P → P by y 7→ ( l0(y) : · · · : lN(y) ) . Put X := φ(P); then X is a linear subvariety of P of dimension n defined over K. Write xi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2011
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-011-0957-9