منابع مشابه
Deformations of Simple Finite Group Schemes
Simple finite group schemes over an algebraically closed field of positive characteristic p 6= 2, 3 have been classified. We consider the problem of determining their infinitesimal deformations. In particular, we compute the infinitesimal deformations of the simple finite group schemes of height one corresponding to the restricted simple Lie algebras.
متن کاملCurve Evolution Schemes for Parquet Deformations
In this paper, I consider the question of how to carry out aesthetically pleasing evolution of the curves that make up the edges in a parquet deformation. Within the framework of simple arrangements of square tiles, I explore curve evolution models based on grids, iterated function systems, and organic labyrinthine paths.
متن کاملKoszul Obstructions for Deformations of 0-schemes of Regularity Two
In this paper we introduce the κ-vector of a homogeneous Artin algebra or regularity two. This numerical invariant induces non-trivial obstructions on the possible deformations of the algebra. In particular, we show that the κ-vector imposes obstructions for smoothability, allowing the construction of new families of nonsmoothable 0-schemes. Conversely we show that, in low degree, the vanishing...
متن کاملJacobi-bernoulli Cohomology and Deformations of Schemes and Maps
We introduce a notion of Jacobi-Bernoulli cohomology associated to a semisimplicial Lie algebra (SELA). For an algebraic scheme X over C, we construct a tangent SELA TX and show that the Jacobi-Bernoulli cohomology of TX is related to infinitesimal deformations of X.
متن کاملF. Viviani∗ SIMPLE FINITE GROUP SCHEMES AND THEIR INFINITESIMAL DEFORMATIONS
We show that the classification of simple finite group schemes over an algebraically closed field reduces to the classification of abstract simple finite groups and of simple restricted Lie algebras in positive characteristic. Both these simple objects have been classified. We review this classification. Finally, we address the problem of determining the infinitesimal deformations of simple fin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2012
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2012.v20.n3.a4