Stable Extensions by Line Bundles

ثبت نشده
چکیده

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Extensions of Vector Bundles and Rationality of Certain Moduli Spaces of Stable Bundles

In this paper, it is proved that certain stable rank-3 vector bundles can be written as extensions of line bundles and stable rank-2 bundles. As an application, we show the rationality of certain moduli spaces of stable rank-3 bundles over the projective plane P 2 .

متن کامل

Extensions of Line Bundles and Brill–noether Loci of Rank-two Vector Bundles on a General Curve

In this paper we study Brill-Noether loci for rank-two vector bundles and describe the general member of some components as suitable extensions of line bundles.

متن کامل

Stable bundles on positive principal elliptic fibrations

Abstract Let π −→ X be a principal elliptic fibration over a Kähler base X . We assume that the Kähler form on X is lifted to an exact form on M (such fibrations are called positive). Examples of these are regular Vaisman manifolds (in particular, the regular Hopf manifolds) and Calabi-Eckmann manifolds. Assume that dimM > 2. Using the KobayashiHitchin correspondence, we prove that all stable b...

متن کامل

Four-dimensional Wess-zumino-witten Model and Abelian Extensions of Ω

We construct two abelian extensions of Ω3G, one by the abelian group Map(D4 0G,U(1)) and the other by Map((D )0G,U(1)), where D4 0G is the group of mappings from the unit four-disc D 4 to G = SU(N), N ≥ 3, that are equal to 1 on the boundary S3, and the prime indicates the opposite orientation of D4. They are homotopically equivalent to a U(1) principal bundle over Ω3G and the associated line b...

متن کامل

Induced Modules and Extensions of Representations, Ii

Grothendieck [7] showed that finite dimensional vector bundles over the projective line split into direct sums of line bundles (see also Andersen [1]). We begin this paper, after two preliminary sections, by proving this result (Theorem (3.5)) for induced bundles using representation theoretic techniques. The proof yields partial results in the infinite dimensional case and leads to the definit...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997