منابع مشابه
Moduli of Toric Vector Bundles
We give a presentation of the moduli stack of toric vector bundles with fixed equivariant total Chern class as a quotient of a fine moduli scheme of framed bundles by a linear group action. This fine moduli scheme is described explicitly as a locally closed subscheme of a product of partial flag varieties cut out by combinatorially specified rank conditions. We use this description to show that...
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We introduce a collection of convex polytopes associated to a torus-equivariant vector bundle on a smooth complete toric variety. We show that the lattice points in these polytopes correspond to generators for the space of global sections and we relate edges to jets. Using the polytopes, we also exhibit toric vector bundles that are ample but not globally generated, and toric vector bundles tha...
متن کاملChern Numbers of Ample Vector Bundles on Toric Surfaces
Let E be an ample rank r bundle on a smooth toric projective surface, S, whose topological Euler characteristic is e(S). In this article, we prove a number of surprisingly strong lower bounds for c1(E) and c2(E). First, we show Corollary (3.2), which says that, given S and E as above, if e(S) ≥ 5, then c1(E) ≥ r2e(S). Though simple, this is much stronger than the known lower bounds over not nec...
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We prove that the Cox ring of the projectivization P(E) of a rank two toric vector bundle E , over a toric variety X, is a finitely generated k-algebra. As a consequence, P(E) is a Mori dream space if the toric variety X is projective and simplicial.
متن کاملCox Rings and Pseudoeffective Cones of Projectivized Toric Vector Bundles
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple. For these projectivized bundles, we give generators for the cone of effective divisors and a presentation of the Cox ring as a polynomial algebra over the Cox ring of a blowup of a projective space along a sequence of linear subspa...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2019
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2019.04.003