Totally Invariant Divisors of Int-Amplified Endomorphisms of Normal Projective Varieties

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Projective Varieties with Nef Anticanonical Divisors

The aim of this note is to prove a structure theorem for projective varieties with nef anticanonical divisors (the Main Theorem). In [18], we showed that if X is smooth and −KX is nef, then the Albanese map AlbX : X → Alb(X) is surjective and has connected fibers (i.e., it is a fiberspace map). In this note we apply the techniques which have been developed in [2],[14] and [19] to prove the foll...

متن کامل

Polarized Endomorphisms of Complex Normal Varieties

It is shown that a complex normal projective variety has non-positive Kodaira dimension if it admits a non-isomorphic quasi-polarized endomorphism. The geometric structure of the variety is described by methods of equivariant lifting and fibrations. Endomorphisms of the projective spaces are also discussed and some results on invariant subvarieties under the pullback of the endomorphism are obt...

متن کامل

Topologically Invariant Chern Numbers of Projective Varieties

We prove that a rational linear combination of Chern numbers is an oriented diffeomorphism invariant of smooth complex projective varieties if and only if it is a linear combination of the Euler and Pontryagin numbers. In dimension at least three we prove that only multiples of the top Chern number, which is the Euler characteristic, are invariant under diffeomorphisms that are not necessarily ...

متن کامل

Geometric invariant theory and projective toric varieties

We define projective GIT quotients, and introduce toric varieties from this perspective. We illustrate the definitions by exploring the relationship between toric varieties and polyhedra. Geometric invariant theory (GIT) is a theory of quotients in the category of algebraic varieties. Let X be a projective variety with ample line bundle L, and G an algebraic group acting on X, along with a lift...

متن کامل

Projective varieties invariant by one - dimensional foliations

This work concerns the problem of relating characteristic numbers of onedimensional holomorphic foliations of PC to those of algebraic varieties invariant by them. More precisely: if M is a connected complex manifold, a one-dimensional holomorphic foliation F of M is a morphism Φ : L −→ TM where L is a holomorphic line bundle on M . The singular set of F is the analytic subvariety sing(F) = {p ...

متن کامل

ذخیره 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: The Journal of Geometric Analysis

سال: 2020

ISSN: 1050-6926,1559-002X

DOI: 10.1007/s12220-020-00366-6