The Direct Summand Conjecture in Dimension Three

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

Heitmann’s Proof of the Direct Summand Conjecture in Dimension 3

We describe the main ideas of Ray Heitmann’s proof of the Direct Summand Conjecture in dimension 3 for a ring of mixed characteristic [1]. In the first section we describe the main methods which are used and prove the necessary lemmas. In the second section we prove the main result of Heitmann’s paper. Finally, in the third section we give a proof of the Canonical Element Conjecture using this ...

متن کامل

Heitmann ’ S Proof of the Direct Summand

We describe the main ideas of Ray Heitmann’s proof of the Direct Summand Conjecture in dimension 3 for a ring of mixed characteristic [1]. In the first section we describe the main methods which are used and prove the necessary lemmas. In the second section we prove the main result of Heitmann’s paper. Finally, in the third section we give a proof of the Canonical Element Conjecture using this ...

متن کامل

Taubes’s Proof of the Weinstein Conjecture in Dimension Three

Does every smooth vector field on a closed three-manifold, for example the three-sphere, have a closed orbit? The answer is no, according to counterexamples by K. Kuperberg and others. On the other hand, there is a special class of vector fields, called Reeb vector fields, which are associated to contact forms. The three-dimensional case of the Weinstein conjecture asserts that every Reeb vecto...

متن کامل

Serre Weights and Breuil’s Lattice Conjecture in Dimension Three

We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a U(3)-arithmetic manifold is purely local, i.e., only depends on the Galois representation at places above p. This is a generalization to GL3 of the lattice conjecture of Breuil. In the process, we also prove the geometric Breuil-Mézard conjecture for (tamely) potentially crystalline deformati...

متن کامل

On a Conjecture of Hacon and Mckernan in Dimension Three

We prove that there exists a universal constant r3 such that if X is a smooth projective threefold overCwith non-negative Kodaira dimension, then the linear system |rKX | admits a fibration that is birational to the Iitaka fibration as soon as r ≥ r3 and sufficiently divisible. This gives an affirmative answer to a conjecture of Hacon and McKernan [5, Conjecture 1.7] in the case of threefolds.

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 Annals of Mathematics

سال: 2002

ISSN: 0003-486X

DOI: 10.2307/3597204