Complements of plane curves with logarithmic Kodaira dimension zero
نویسندگان
چکیده
منابع مشابه
Fixed Points of Smooth Varieties with Kodaira Dimension Zero
Motivated by the above problems, we now turn to the results of this paper. We first look at the case when A is an abelian variety and φ : A → A is an endomorphism satisfying a mild polarization hypothesis. In this setting we are able to prove that #Fix(φl) grows exponentially as a function of l. More preciesely, let Ai be a simple abelian subvariety of A of dimension gi for i = 1, . . . ,m. Sup...
متن کاملThe Euler Characteristic Formula for Logarithmic Minimal Degenerations of Surfaces with Kodaira Dimension Zero and its application
In this paper, the Euler characteristic formula for projective logarithmic minimal degenerations of surfaces with Kodaira dimension zero over a 1-dimensional complex disk is proved under a reasonable assumption and as its application, the singularity of logarithmic minimal degenerations are determined in the abelian or hyperelliptic case. By globalizing this local analysis of singular fibres vi...
متن کاملThe Kodaira Dimension of the Moduli Space of Curves
Definition 1.1. Let L be a line bundle on a normal, irreducible, projective variety. Then the Iitaka dimension of L is defined to be the maximum dimension of the image of πm for m ⊕ N(X, L) provided N(X, L) ∈= 0. If N(X, L) = 0, then the Iitaka dimension of L is defined to be −→. When X is smooth, the Kodaira dimension of X is defined to be the Iitaka dimension of its canonical bundle KX . If X...
متن کاملOn the Kodaira Dimension of the Moduli Space of Curves
The Göttingen State and University Library provides access to digitized documents strictly for noncommercial educational, research and private purposes and makes no warranty with regard to their use for other purposes. Some of our collections are protected by copyright. Publication and/or broadcast in any form (including electronic) requires prior written permission from the Goettingen Stateand...
متن کاملThe Kodaira Dimension of Moduli Spaces of Curves with Marked Points, Ii
We sharpen our previous results on the g and n such that Mg,n is of general type for some g with g + 1 prime.
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 the Mathematical Society of Japan
سال: 2000
ISSN: 0025-5645
DOI: 10.2969/jmsj/05240793