Relative Clifford inequality for varieties fibered by curves
نویسندگان
چکیده
We prove a sharp relative Clifford inequality for relatively special divisors on varieties fibered by curves. It generalizes the classical about single curve to fibration of yields geographical Albanese-fibered also apply it deduce slope some higher dimensional families sheds light existence more general Cornalba–Harris–Xiao type
منابع مشابه
Relative Noether inequality on fibered surfaces
2 Proof of the relative Noether inequality 7 2.1 The reduction process . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Linear systems on curves . . . . . . . . . . . . . . . . . . . . . 10 2.3 Hyperelliptic case . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Non-hyperelliptic case . . . . . . . . . . . . . . . . . . . . . . 15 2.5 Proof of Theorem 1.2 . . . . . . . . . . . . . . . ....
متن کاملClifford Indices for Vector Bundles on Curves
For smooth projective curves of genus g ≥ 4, the Clifford index is an important invariant which provides a bound for the dimension of the space of sections of a line bundle. This is the first step in distinguishing curves of the same genus. In this paper we generalise this to introduce Clifford indices for semistable vector bundles on curves. We study these invariants, giving some basic propert...
متن کاملClifford Theorem for real algebraic curves
In this note, a real algebraic curve X is a smooth proper geometrically integral scheme over R of dimension 1. A closed point P of X will be called a real point if the residue field at P is R, and a non-real point if the residue field at P is C. The set of real points, X(R), will always be assumed to be non empty. It decomposes into finitely many connected components, whose number will be denot...
متن کاملCo-fibered Products of Algebraic Curves
We give examples of failure of the existence of cofibered products in the category of algebraic curves.
متن کاملOn the persistence of invariant curves for Fibered Holomorphic Transformations
We consider the problem of the persistence of invariant curves for analytical fibered holomorphic transformations. We define a fibered rotation number associated to an invariant curve. We show that an invariant curve with a prescribed fibered rotation number persists under small perturbations on the dynamics provided that the pair of rotation numbers verifies a Brjuno type arithmetical condition.
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: Journal of Differential Geometry
سال: 2022
ISSN: ['1945-743X', '0022-040X']
DOI: https://doi.org/10.4310/jdg/1669998187