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...
متن کاملToric Vector Bundles and Parliaments of Polytopes
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 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...
متن کاملProjectivized Rank Two Toric Vector Bundles Are Mori Dream Spaces
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 کاملStanford Department of Mathematics Colloquium TORIC VECTOR BUNDLES
I will give a gentle introduction to equivariant vector bundles on toric varieties, an emerging research area in which a combination of combinatorial and geometric methods can be used to test difficult general questions about algebraic vector bundles. For instance, does every complete algebraic variety have a nontrivial vector bundle on it? Thursday, October 18 4:15 p.m. Room 380-F http://math....
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2016
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/6511