Exponential of Kapranov’s Formal Spectrum
نویسنده
چکیده
We describe a relationship between the formal spectrum introduced by Kapranov [2] and a space NCSpec(R) associated to a ring R in [3], in the case where R is an NC-nilpotent algebra.
منابع مشابه
A-Discriminants for Complex Exponents and Counting Real Isotopy Types
We take a first step toward extending the theory of A-discriminants, and Kapranov’s parametrization of A-discriminant varieties [Kap91], to a broader family of functions including polynomials as a very special case. As an application, we prove a quadratic upper bound on the number of isotopy types of real zero sets of certain n-variate exponential sums, in a setting where the best previous boun...
متن کاملLECTURE 8. THE GROTHENDIECK RING OF VARIETIES AND KAPRANOV’S MOTIVIC ZETA FUNCTION In this lecture we give an introduction to the Grothendieck ring of algebraic varieties, and discuss Kapranov’s lifting of the Hasse-Weil zeta function to this Grothendieck ring
In this lecture we give an introduction to the Grothendieck ring of algebraic varieties, and discuss Kapranov’s lifting of the Hasse-Weil zeta function to this Grothendieck ring. One interesting feature is that this makes sense over an arbitrary field. We will prove the rationality of Kapranov’s zeta function for curves by a variant of the argument used in Lecture 4 for the Hasse-Weil zeta func...
متن کاملVarieties with maximum likelihood degree one
We show that algebraic varieties with maximum likelihood degree one are exactly the images of reduced A-discriminantal varieties under monomial maps with finite fibers. The maximum likelihood estimator corresponding to such a variety is Kapranov’s Horn uniformization. This extends Kapranov’s characterization of A-discriminantal hypersurfaces to varieties of arbitrary codimension.
متن کاملStatistical Modeling for Oblique Collision of Nano and Micro Droplets in Plasma Spray Processes
Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...
متن کاملImpacts of the Negative-exponential and the K-distribution modeled FSO turbulent links on the theoretical and simulated performance of the distributed diffusion networks
Merging the adaptive networks with the free space optical (FSO) communication technology is a very interesting field of research because by adding the benefits of this technology, the adaptive networks become more efficient, cheap and secure. This is due to the fact that FSO communication uses unregistered visible light bandwidth instead of the overused radio spectrum. However, in spite of all ...
متن کامل