Search results for "13.15.+g"
showing 10 items of 16 documents
CCDC 250973: Experimental Crystal Structure Determination
2005
Related Article: J.F.Schneider, M.Nieger, K.Nattinen, B.Lewall, E.Niecke, K.H.Dotz|2005|Eur.J.Org.Chem.|2005|1541|doi:10.1002/ejoc.200400800
CCDC 1919442: Experimental Crystal Structure Determination
2019
Related Article: Jana Anhäuser, Rakesh Puttreddy, Lukas Glanz, Andreas Schneider, Marianne Engeser, Kari Rissanen, Arne Lützen|2019|Chem.-Eur.J.|25|12294|doi:10.1002/chem.201903164
CCDC 1919440: Experimental Crystal Structure Determination
2019
Related Article: Jana Anhäuser, Rakesh Puttreddy, Lukas Glanz, Andreas Schneider, Marianne Engeser, Kari Rissanen, Arne Lützen|2019|Chem.-Eur.J.|25|12294|doi:10.1002/chem.201903164
A numerical property of Hilbert functions and lex segment ideals
2017
We introduce the fractal expansions, sequences of integers associated to a number. We show that these sequences characterize the Osequences and encode some information about lex segment ideals. Moreover, we introduce numerical functions called fractal functions, and we use them to solve the open problem of the classification of the Hilbert functions of any bigraded algebra.
On the Betti numbers of three fat points in P1 × P1
2019
In these notes we introduce a numerical function which allows us to describe explicitly (and nonrecursively) the Betti numbers, and hence, the Hilbert function of a set Z of three fat points whose support is an almost complete intersection (ACI) in P1 × P1 . A nonrecursively formula for the Betti numbers and the Hilbert function of these configurations is hard to give even for the corresponding set of five points on a special support in P2 and we did not find any kind of this result in the literature. Moreover, we also give a criterion that allows us to characterize the Hilbert functions of these special set of fat points.
OPERADS AND JET MODULES
2005
Let $A$ be an algebra over an operad in a cocomplete closed symmetric monoidal category. We study the category of $A$-modules. We define certain symmetric product functors of such modules generalising the tensor product of modules over commutative algebras, which we use to define the notion of a jet module. This in turn generalises the notion of a jet module over a module over a classical commutative algebra. We are able to define Atiyah classes (i.e. obstructions to the existence of connections) in this generalised context. We use certain model structures on the category of $A$-modules to study the properties of these Atiyah classes. The purpose of the paper is not to present any really de…
CCDC 777752: Experimental Crystal Structure Determination
2011
Related Article: Yuhui Kou, Hongqi Tao, Derong Cao, Zhiyong Fu, D.Schollmeyer, H.Meier|2010|Eur.J.Org.Chem.|2010|6464|doi:10.1002/ejoc.201000718
CCDC 777751: Experimental Crystal Structure Determination
2011
Related Article: Yuhui Kou, Hongqi Tao, Derong Cao, Zhiyong Fu, D.Schollmeyer, H.Meier|2010|Eur.J.Org.Chem.|2010|6464|doi:10.1002/ejoc.201000718
CCDC 902683: Experimental Crystal Structure Determination
2013
Related Article: Yu Chen, Derong Cao, Lingyun Wang, Minqing He, Lixia Zhou, Dieter Schollmeyer, Herbert Meier|2013|Chem.-Eur.J.|19|7064|doi:10.1002/chem.201204628
Milnor-Witt Motives
2020
We develop the theory of Milnor-Witt motives and motivic cohomology. Compared to Voevodsky's theory of motives and his motivic cohomology, the first difference appears in our definition of Milnor-Witt finite correspondences, where our cycles come equipped with quadratic forms. This yields a weaker notion of transfers and a derived category of motives that is closer to the stable homotopy theory of schemes. We prove a cancellation theorem when tensoring with the Tate object, we compare the diagonal part of our Milnor-Witt motivic cohomology to Minor-Witt K-theory and we provide spectra representing various versions of motivic cohomology in the $\mathbb{A}^1$-derived category or the stable ho…