1 Historical Survey The fact that the groups K0 and K1 are related to derived categories is soobvious that it was observed right at the beginnings of the subject. We remind the reader.Let A be a...
Brown representability follows from Rosicky's theorem (2009)
We prove that the dual of a well-generated triangulated category satisfies Brown representability, as long as there is a combinatorial model. This settles the major open problem in [12]. We also...
Dualizing complexes-The modern way (2008)
We give a survey of some recent results on Grothendieck duality. We begin with a brief reminder of the classical theory, and then launch into an overview of some of the striking developments since...
Brown representability does not come for free (2008)
Casacuberta, Carles, Neeman, Amnon
We exhibit a triangulated category T having both products and coproducts, and a triangulated subcategory S of T which is both localizing and colocalizing, for which neither a Bousfield localization...
Determinants, K1 and derived categories (2008)
R. M. Bryant, Hung-hsi Wu, Amnon Neeman, Jamie Sethian
We consider a formula of Witt which arises in a number of different contexts. It counts the number of primitive necklaces of length n, the number of monic irreducible polynomials of degree n over a...
Ranicki, Noncommutative localisation in algebraic K-theory (2008)
Amnon Neeman, Communicated David, J. Benson
In [Amnon Neeman, Andrew Ranicki, Noncommutative localisation in algebraic K-theory I, Geom. Topol. 8 (2004) 1385–1425] we proved a localisation theorem in the algebraic K-theory of noncommutative...
Brown representability does not come for free (2008)
Casacuberta I Vergés, Carles, Neeman, Amnon
"Vegeu el resum a l'inici del document del fitxer adjunt."
Derived categories and Grothendieck duality (2008)
"Vegeu el resum a l'inici del document del fitxer adjunt."
NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY (2007)
Abstract. The noncommutative (Cohn) localization σ −1 R of a ring R is defined for any collection σ of morphisms of f.g. projective left R-modules. We exhibit σ −1 R as the endomorphism ring...
J. Daniel Christensen, Bernhard Keller, Amnon Neeman
dedicated to H. Lenzing on the occasion of his sixtieth birthday
J. Daniel Christensen, Bernhard Keller, Amnon Neeman
dedicated to H. Lenzing on the occasion of his sixtieth birthday
REPRESENTATIONS OF ALGEBRAS AS UNIVERSAL LOCALIZATIONS (2007)
Amnon Neeman, Andrew Ranicki, Aidan Schofield
this paper demonstrates one possible way to represent a finitely presented algebra S in a similarly compact form. From a presentation of the algebra, we construct a quiver with relations whose path...
'Nonparametric inference in multivariate mixtures' * Biometrika (2005), 92, pp. 667 678 (2007)
Hall, Peter, Neeman, Amnon, Pakyari, Reza, Elmore, Ryan
The left-hand side of equation (2·8), on p. 671, should read {π1 (1 − π1)}−1/2 (2π1 − 1) rather than {(1 − π1)/π1}1/2 (2π1 − 1). Reflecting this change, the left-hand side of...
Brown representability follows from Rosicky (2007)
We prove that the dual of a well generated triangulated category satisfies Brown representability, as long as there is a combinatorial model. This settles the major open problem in [13]. We also...
Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor (2006)
For a map f: X -> Y of quasi-compact quasi-separated schemes, we discuss quasi-perfection, that is, the right adjoint f^\times of the derived functor Rf_* respects small direct sums. This is...
Nonparametric inference in multivariate mixtures (2005)
Hall, Peter, Neeman, Amnon, Pakyari, Reza, Elmore, Ryan
We consider mixture models in which the components of data vectors from any given subpopulation are statistically independent, or independent in blocks. We argue that if, under this condition of...
Noncommutative localisation in algebraic K-theory I (2004)
Neeman, Amnon, Ranicki, Andrew
This article establishes, for an appropriate localisation of associative rings, a long exact sequence in algebraic K-theory. The main result goes as follows. Let A be an associative ring and let...
Noncommutative localisation in algebraic K –theory I (2004)
This article establishes, for an appropriate localisation of associative rings, a long exact sequence in algebraic K –theory. The main result goes as follows. Let A be an associative ring and let A...
REPRESENTATIONS OF ALGEBRAS AS UNIVERSAL LOCALIZATIONS (2002)
Neeman, Amnon, Ranicki, Andrew, Schofield, Aiden
Given a presentation of a finitely presented group, there is a natural way to represent the group as the fundamental group of a 2-complex. The first part of this paper demonstrates one possible way...
Representations of algebras as universal localizations (2002)
Neeman, Amnon, Ranicki, Andrew, Schofield, Aidan
Every finitely presented algebra S is shown to be Morita equivalent to the universal localization \sigma^{-1}R of a finite dimensional algebra R. The construction provides many examples of universal...
REPRESENTATIONS OF ALGEBRAS AS UNIVERSAL LOCALIZATIONS (2002)
Neeman, Amnon, Ranicki, Andrew, Schofield, Aiden
Given a presentation of a finitely presented group, there is a natural way to represent the group as the fundamental group of a 2-complex. The first part of this paper demonstrates one possible way...
NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY (2001)
Neeman, Amnon, Ranicki, Andrew
The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined for any collection (sigma) of morphisms of f.g. projective left R-modules. We exhibit (sigma)^−1 R as the endomorphism...
Noncommutative localization and chain complexes I. Algebraic K- and L-theory (2001)
Neeman, Amnon, Ranicki, Andrew
The noncommutative (Cohn) localization S^{-1}R of a ring R is defined for any collection S of morphisms of f.g. projective left R-modules. We exhibit S^{-1}R as the endomorphism ring of R in an...
NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY (2001)
Neeman, Amnon, Ranicki, Andrew
The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined for any collection (sigma) of morphisms of f.g. projective left R-modules. We exhibit (sigma)^−1 R as the endomorphism...
Failure of Brown representability in derived categories, Topology 40 (2001)
J. Daniel Christensen, Bernhard Keller, Amnon Neeman
dedicated to H. Lenzing on the occasion of his sixtieth birthday Abstract. Let T be a triangulated category with coproducts, T c ⊂ T the full subcategory of compact objects in T. If T is the...
Failure of Brown representability in derived categories (2000)
Christensen, J. Daniel, Keller, Bernhard, Neeman, Amnon
Let T be a triangulated category with coproducts, C the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [Adams71]: All contravariant...
K-Theory for Triangulated Categories III(A): The Theorem of the Heart (1999)
This is the fourth installment of a series. The main point of the entire series is the following: given a triangulated category T, it is possible to attach to it a K-theory space.
Grothendieck duality via homotopy theory (1994)
Grothendieck proved that if $f:X\longrightarrow Y$ is a proper morphism of nice schemes, then $Rf_*$ has a right adjoint, which is given as tensor product with the relative canonical bundle. The...
Extension Categories and their Homotopy (1994)
this article we will generalise both results to an arbitrary homotopy category associated to a Waldhausen category. Let us begin by reminding the reader about the formalism of a Waldhausen category....
Amnon Neeman, Simplicial Preliminaries
this article, it will be convenient to work with the following. A simplicial model for a delooping of the space K(A) is given by the realisation of a bisimplicial set we will denote
On the stable rationality of $X/G$ (1992)
Let $G$ be a connected, reductive algeraic group whose Dynkin diagram contains no components of type $G_2,$ $F_4,$ $E_6,$ $E_7$ or $E_8.$ That is, all the components are of classical type. Suppose...
Topics in algebraic geometry--[microform] /--by Amnon Neeman. (1983)
Thesis (Ph. D.)--Harvard University, 1983.
Topics in algebraic geometry /--by Amnon Neeman. (1983)
Thesis (Ph. D.)--Harvard University, 1983.
Geometric representation of high dimension, low sample size data
Peter Hall, J. S. Marron, Amnon Neeman
High dimension, low sample size data are emerging in various areas of science. We find a common structure underlying many such data sets by using a non-standard type of asymptotics: the dimension...
Nonparametric inference in multivariate mixtures
Peter Hall, Amnon Neeman, Reza Pakyari, Ryan Elmore
We consider mixture models in which the components of data vectors from any given subpopulation are statistically independent, or independent in blocks. We argue that if, under this condition of...
'Nonparametric inference in multivariate mixtures'Biometrika (2005), 92, pp. 667–678
Peter Hall, Amnon Neeman, Reza Pakyari, Ryan Elmore
The left-hand side of equation (2·8), on p. 671, should read {π1 (1 − π1)}-super-−1/2 (2π1 − 1) rather than {(1 − π1)/π1}-super-1/2 (2π1 − 1). Reflecting this change, the left-hand...