Valuations and Plurisubharmonic Singularities
نویسندگان
چکیده
منابع مشابه
Valuations and plurisubharmonic singularities
We extend to higher dimension our valuative analysis of singularities of psh functions started in [FJ2]. Following [KoSo], we describe the geometry of the space V of all normalized valuations on C[z1, . . . , zn] centered at the origin. It is a union of simplices naturally endowed with an affine structure. Using relative positivity properties of divisors living on modifications of C n over the ...
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The theme of these lectures is local and global properties of plurisubharmonic functions. First differential inequalities defining convex, subharmonic and plurisubharmonic functions are discussed. It is proved that the marginal function of a plurisubharmonic function is plurisubharmonic under certain hypotheses. We study the singularities of plurisubharmonic functions using methods from convexi...
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© Annales de l’institut Fourier, 1988, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier...
متن کاملPlurisubharmonic functions on the octonionic plane and Spin ( 9 ) - invariant valuations on convex sets
A new class of plurisubharmonic functions on the octonionic plane O2 ≃ R16 is introduced. An octonionic version of theorems of A.D. Aleksandrov [3] and ChernLevine-Nirenberg [24], and B locki [21] are proved. These results are used to construct new examples of continuous translation invariant valuations on convex subsets of O2 ≃ R 16. In particular a new example of Spin(9)-invariant valuation o...
متن کاملOn the number of crepant valuations of canonical singularities
In this note we calculate the number of crepant valuations of an isolated canonical singularity 0 ∈ X : (f = 0) ⊂ Cn, which is assumed to be nondegenerate with respect to its Newton polyhedron, in terms of weightings and the Newton polyhedron of f .
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2008
ISSN: 0034-5318
DOI: 10.2977/prims/1210167334