Effectiveness of the log Iitaka fibration for 3-folds and 4-folds
نویسندگان
چکیده
منابع مشابه
On Effective Log Iitaka Fibration for 3-folds and 4-folds
We prove the effectiveness of the log Iitaka fibration in Kodaira codimension two for varieties of dimension≤ 4. In particular, we finish the proof of effective log Iitaka fibration in dimension two. Also, we show that for the log Iitaka fibration, if the fiber is of dimension two, the denominator of the moduli part is bounded.
متن کاملToroidalization of locally toroidal morphisms of 3-folds
A toroidalization of a dominant morphism $varphi: Xto Y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $X$ and $Y$. We give a proof of toroidalization of locally toroidal morphisms of 3-folds.
متن کاملOn Kummer 3-folds
We investigate a generalization of Kummer construction, as introduced in [AW08]. The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincaré polynomials.
متن کاملUpdate on 3-folds
The familiar division of compact Riemann surfaces into 3 cases g = 0, g = 1 and g ≥ 2 corresponds to the well known trichotomy of spherical, Euclidean and hyperbolic non-Euclidean plane geometry. Classification aims to treat all projective algebraic varieties in terms of this trichotomy; the model is Castelnuovo and Enriques’ treatment of surfaces around 1900 (reworked by Kodaira in the 1960s)....
متن کاملDeformations of Q-calabi-yau 3-folds and Q-fano 3-folds of Fano Index 1
In this article, we prove that any Q-Calabi-Yau 3-fold with only ordinary terminal singularities and any Q-Fano 3-fold of Fano index 1 with only terminal singularities have Q-smoothings.
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: Algebra & Number Theory
سال: 2009
ISSN: 1937-0652
DOI: 10.2140/ant.2009.3.697