Strictly nef divisors on K-trivial fourfolds

نویسندگان

چکیده

In this paper, we prove the ampleness conjecture and Serrano’s for strictly nef divisors on K-trivial fourfolds, particularly, hyperkähler fourfolds. Specifically, a smooth projective fourfold X of Calabi–Yau type with vanishing irregularity, show that are ample.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Nef cycles on some hyperkähler fourfolds

We study the cones of surfaces on varieties of lines on cubic fourfolds and Hilbert schemes of points on K3 surfaces. From this we obtain new examples of nef cycles which fail to be pseudoeffective.

متن کامل

Nef and big divisors on toric 3-folds with nef anti-canonical divisors

We show that a nef and big line bundle whose adjoint bundle has global sections on a nonsingular complete toric 3-fold with nef anticanonical divisor is normally generated. As a consequence, we see that any ample line bundle on a nonsingular toric Fano 3-fold is normally generated.

متن کامل

NEW NEF DIVISORS ON M0,n

We give a direct proof, valid in arbitrary characteristic, of nefness for two families of F-nef divisors on M0,n. The divisors we consider include all type A level one conformal block divisors as well as divisors previously not known to be nef.

متن کامل

NEF DIVISORS ON M0,n FROM GIT

We introduce and study the GIT cone of M0,n, which is generated by the pullbacks of the natural ample line bundles on the GIT quotients (P)//SL(2). As one application, we prove unconditionally that the log canonical models of M0,n with a symmetric boundary divisor coincide with the moduli spaces of weighted curves or with the symmetric GIT quotient, extending the result of Matt Simpson.

متن کامل

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

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: Mathematische Annalen

سال: 2022

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-022-02461-1