نتایج جستجو برای: sheaf

تعداد نتایج: 1552  

Journal: :Asian Journal of Mathematics 2014

Journal: :Pacific Journal of Mathematics 2022

The weight $\theta$-sheaf $\underline{\mathbb{R}}_{X,\theta}$ helps us to reinterpret Morse-Novikov cohomologies via sheaf theory. We give several theorems of K\"{u}nneth and Leray-Hirsch types. As applications, we prove that the $\theta$-Lefschetz number is independent $\theta$ calculate projective bundles. Based on these results, two blow-up formulae (\emph{not necessarily compact}) complex m...

Journal: :Proceedings of the American Mathematical Society 1982

Journal: :Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics 1983

Journal: :International Journal of Mathematics and Mathematical Sciences 1998

2005
Yuri I. Manin Guido Castelnuovo

This talk reviews the current state of the theory of F–(super)manifolds (M, ◦), first defined in [HeMa] and further developed in [He], [Ma2], [Me1]. Here ◦ is an OM–bilinear multiplication on the tangent sheaf TM , satisfying an integrability condition. F–manifolds and compatible flat structures on them furnish a useful weakening of Dubrovin’s Frobenius structure which naturally arises in the q...

2015
IZZET COSKUN

Let ξ be the Chern character of a stable coherent sheaf on P. We compute the cone of effective divisors on the moduli space M(ξ) of semistable sheaves on P with Chern character ξ. The computation hinges on finding a good resolution of the general sheaf in M(ξ). This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a goo...

2008
HOLGER BRENNER

We study different notions of slope of a vector bundle over a smooth projective curve with respect to ampleness and affineness in order to apply this to tight closure problems. This method gives new degree estimates from above and from below for the tight closure of a homogeneous R+-primary ideal in a two-dimensional normal standard-graded algebra R in terms of the minimal and the maximal slope...

2006
Daniel Murfet

Now we come to the generalised notion of blowing up. In (I, §4) we defined the blowing up of a variety with respect to a point. Now we will define the blowing up of a noetherian scheme with respect to any closed subscheme. Since a closed subscheme corresponds to a coherent sheaf of ideals, we may as well speak of blowing up a coherent sheaf of ideals. The necessary background for this section i...

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