Uniform vector bundles of rank $(n+1)$ on $P_{n}$

نویسندگان

چکیده

برای دانلود رایگان 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

Restriction of stable rank two vector bundles

Let X be a smooth variety deened over an algebraically closed eld of arbitrary characteristic and O X (H) be a very ample line bundle on X. We show that for a semistable X-bundle E of rank two, there exists an integer m depending only on (E):H dim(X)?2 and H dim(X) such that the restriction of E to a general divisor in jmHj is again semistable. As corollaries we obtain boundedness results, and ...

متن کامل

On the classification of complex vector bundles of stable rank

Abstract. One describes, using a detailed analysis of Atiyah–Hirzebruch spectral sequence, the tuples of cohomology classes on a compact, complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe in constru...

متن کامل

Construction of Low Rank Vector Bundles on P and P

We describe a technique which permits a uniform construction of a number of low rank bundles, both known and new. In characteristic two, we obtain rank two bundles on P5. In characteristic p, we obtain rank two bundles on P4 and rank three bundles on P5. In arbitrary characteristic, we obtain rank three bundles on P4 and rank two bundles on the quadric S5 in P6.

متن کامل

Finite rank vector bundles on inductive limits of grassmannians

If P is the projective ind-space, i.e. P is the inductive limit of linear embeddings of complex projective spaces, the Barth-Van de Ven-Tyurin (BVT) Theorem claims that every finite rank vector bundle on P is isomorphic to a direct sum of line bundles. We extend this theorem to general sequences of morphisms between projective spaces by proving that, if there are infinitely many morphisms of de...

متن کامل

Rank-2 Ample Vector Bundles on Some Smooth Rational Surfaces

Some classification results for ample vector bundles of rank 2 on Hirzebruch surfaces, and on Del Pezzo surfaces, are obtained. In particular, we classify rank-2 ample vector bundles with c2 less than 7 on Hirzebruch surfaces, and with c2 less than 4 on Del Pezzo surfaces.

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: Tsukuba Journal of Mathematics

سال: 1983

ISSN: 0387-4982

DOI: 10.21099/tkbjm/1496159821