Pluricanonical systems for 3-folds and 4-folds of general type

نویسندگان

چکیده

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

The Relative Pluricanonical Stability for 3-folds of General Type

The aim of this paper is to improve a theorem of János Kollár by a different method. For a given smooth Complex projective threefold X of general type, suppose the plurigenus Pk(X) ≥ 2, Kollár proved that the (11k + 5)-canonical map is birational. Here we show that either the (7k+3)-canonical map or the (7k+5)-canonical map is birational and the (13k+6)-canonical map is stably birational onto i...

متن کامل

On the Relative Pluricanonical Stability for 3-folds of General Type

The aim of this paper is to improve a theorem of János Kollár by a different method. Given a Complex projective threefold X of general type, suppose the plurigenus Pk(X) ≥ 2, Kollár proved that the (11k+5)-canonical map is birational. Here we show that either the (7k +3)-canonical map or the (7k +5)-canonical map is birational and the m-canonical map is stably birational for m ≥ 13k+6. If we su...

متن کامل

Anti-pluricanonical Systems on Q-fano 3-folds

We investigate birationality of the anti-pluricanonical map φ −m, the rational map defined by the anti-pluricanonical system | − mKX |, on weak Q-Fano 3-folds.

متن کامل

Inequalities of Noether Type for 3-folds of General Type

If X is a smooth complex projective 3-fold with ample canonical divisor K, then the inequality K ≥ 2 3 (2pg − 7) holds, where pg denotes the geometric genus. This inequality is nearly sharp. We also give similar, but more complicated, inequalities for general minimal 3-folds of general type. Introduction Given a minimal surface S of general type, we have two famous inequalities, which play cruc...

متن کامل

Projective 3-folds of General Type with Χ = 1

There are many examples of 3-folds of general type with χ(O) = 1 found by Fletcher and Reid about twenty years ago. Fletcher has ever proved P12(X) ≥ 1 and P24(X) ≥ 2 for all minimal 3-folds X of general type with χ(OX) = 1. In this paper, we improve on Fletcher’s method. Our main result is that φm is birational onto its image for allm ≥ 63. To prove this we will show Pm ≥ 1 for all m ≥ 14 and ...

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: Mathematical Proceedings of the Cambridge Philosophical Society

سال: 2011

ISSN: 0305-0041,1469-8064

DOI: 10.1017/s0305004111000648