منابع مشابه
Balanced Line Bundles on Fano Varieties
A conjecture of Batyrev and Manin relates arithmetic properties of varieties with ample anticanonical class to geometric invariants. We analyze the geometry underlying these invariants using the Minimal Model Program and then apply our results to primitive Fano threefolds.
متن کاملBundles over Fano Threefolds of Type V22
An explicit resolution of the diagonal over V22 is given, making use of some observations about instanton bundles with c2 = 3. Different descriptions of V22 are interpreted in terms of mutations of vector bundles.
متن کاملRational Points on Some Fano Quadratic Bundles
We study the number of rational points of bounded height on a certain threefold. The accumulating subvarieties are Zariski-dense in this example. The computations support an extension of a conjecture of Manin to this situation.
متن کاملVector Bundles on Fano 3-folds without Intermediate Cohomology
A well-known result of Horrocks (see [Ho]) states that a vector bundle on a projective space has not intermediate cohomology if and only if it decomposes as a direct sum of line bundles. There are two possible generalizations of this result to arbitrary varieties. The first one consists of giving a cohomological characterization of direct sums of line bundles. This has been done for quadrics an...
متن کاملParametrization of Singθ for a Fano 3-fold of Genus 7 by Moduli of Vector Bundles
According to Mukai, any prime Fano threefold X of genus 7 is a linear section of the spinor tenfold in the projectivized half-spinor space of Spin(10). The orthogonal linear section of the spinor tenfold is a canonical genus-7 curve Γ, and the intermediate Jacobian J(X) is isomorphic to the Jacobian of Γ. It is proven that, for a generic X , the Abel-Jacobi map of the family of elliptic sextics...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1990
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1990.141.197