منابع مشابه
Nonpositive curvature of blow - ups
Consider the following situation: MC is a complex manifold of complex dimension n, and DC is a union of smooth complex codimension-one submanifolds (i.e., DC is a smooth divisor). Examples of this situation include: (1) arrangements of projective hyperplanes in CP, as well as various blow-ups of such arrangements along intersections of hyperplanes, (2) nonsingular toric varieties (whereDC is th...
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A conjecture on vanishing and non-negativity of intersection multiplicity on the blow-up of a regular local ring at its closed point has been proposed. Proofs of vanishing, several special cases of non-negativity and a sufficient condition for non-negativity of this conjecture are described. The topic on intersection multiplicity on vector bundles is also addressed. Introduction. Let X be a reg...
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We extend the classical formula of Porteous for blowing-up Chern classes to the case of blow-ups of possibly singular varieties along regularly embedded centers. The proof of this generalization is perhaps conceptually simpler than the standard argument for the nonsingular case, involving Riemann-Roch without denominators. The new approach relies on the explicit computation of an ideal, and a m...
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This work connects the idea of a “blow-up” of a quiver with that of injectivity, showing that for a class of monic maps Φ, a quiver is Φ-injective if and only if all blow-ups of it are as well. This relationship is then used to characterize all quivers that are injective with respect to the natural embedding of Pn into Cn.
متن کاملTiling Transitive Tournaments and Their Blow-ups
Let TTk denote the transitive tournament on k vertices. Let TT (h, k) denote the graph obtained from TTk by replacing each vertex with an independent set of size h ≥ 1. The following result is proved: Let c2 = 1/2, c3 = 5/6 and ck = 1 − 2 k for k ≥ 4. For every ǫ > 0 there exists N = N(ǫ, h, k) such that for every undirected graph G with n > N vertices and with δ(G) ≥ ckn, every orientation of ...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2018
ISSN: 0213-2230
DOI: 10.4171/rmi/1044