Enumerating Non-Stable Vector Bundles

نویسندگان

چکیده

Abstract In this article, we establish a motivic analog of an enumeration result James–Thomas [ 28] on non-stable vector bundles in topological setting. Using this, obtain results projective modules rank $d$ over smooth affine $k$-algebra $A$ dimension $d$, recovering particular Suslin and Bhatwadekar cancellation such bundles. Admitting conjecture Asok Fasel, prove $d-1$ if the base field $k$ is algebraically closed. We also explore properties symplectic

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

Stable vector bundles on algebraic surfaces

We prove an existence result for stable vector bundles with arbitrary rank on an algebraic surface, and determine the birational structure of certain moduli space of stable bundles on a rational ruled surface.

متن کامل

Canonical metrics on stable vector bundles

The problem of constructing moduli space of vector bundles over a projective manifold has attracted many mathematicians for decades. In mid 60’s Mumford first constructed the moduli space of vector bundles over algebraic curves via his celebrated GIT machinery. Later, in early 80’s Atiyah and Bott found an infinite dimensional symplectic quotient description of this moduli space. Since then, we...

متن کامل

Holonomy Groups of Stable Vector Bundles

Let M be a Riemannian manifold and E a vector bundle with a connection ∇. Parallel transport along loops gives a representation of the loop group of M with base point x into the orthogonal group O(E x) of the fiber at x (see, for instance, [KN96, Bry00]). If X is a complex manifold and E a holomorphic vector bundle, then usually there are no holomorphic connections on E. One can, nonetheless, d...

متن کامل

Stable Approximations of Certain Vector Bundles

0 −−−−→ O s −−−−→ E0 s∗ −−−−→ I −−−−→ 0. As usual, s is the distinguished nonzero global section of E0. The determinant line bundle of E0 is trivial, while the second Chern class is equal to the integer k. If X is in particular an algebraic surface, and H a fixed ample line bundle, then we can talk about slope-stability with respect to H. The bundle E0 is only slopesemistable, of slope 0, but t...

متن کامل

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

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: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab103