Zobrazeno 1 - 10
of 637
pro vyhledávání: '"14D15"'
Autor:
Ilten, Nathan, Robins, Sharon
We study locally trivial deformations of toric varieties from a combinatorial point of view. For any fan $\Sigma$, we construct a deformation functor $\mathrm{Def}_\Sigma$ by considering \v{C}ech zero-cochains on certain simplicial complexes. We show
Externí odkaz:
http://arxiv.org/abs/2409.02824
The aim of this article is the classification of simple 0-dimensional isolated complete intersection singularities in positive characteristic. As usual, a singularity is called simple or 0-modal if there are only finitely many isomorphism classes of
Externí odkaz:
http://arxiv.org/abs/2404.19728
We give illustrative examples of how the computer algebra system OSCAR can support research in commutative algebra and algebraic geometry. We start with a thorough introduction to Groebner basis techniques, with particular emphasis on the computation
Externí odkaz:
http://arxiv.org/abs/2404.12085
In this article, we introduce a new approach to show the existence and smoothing of simple normal crossing varieties in a given projective space. Our approach relates the above to the existence of nowhere reduced schemes called ribbons and their smoo
Externí odkaz:
http://arxiv.org/abs/2403.04167
Autor:
Kawamata, Yujiro
We will develop a formal non-commutative (NC) deformation theory of smooth algebraic varieties $X$ defined over a field $k$, and describe a semi-universal deformation where the tangent space $T^1$ and the obstruction space $T^2$ are given as subspace
Externí odkaz:
http://arxiv.org/abs/2402.15685
Autor:
Rodríguez, Marta Pérez
Publikováno v:
Journal of Algebra 445 (2016), 78-102
Deformation theory is treated for locally notherian formal schemes (non necessarily smooth). The cotangent complex is defined in the derived category through the homology localization functor. The basic properties and results of a deformation theory
Externí odkaz:
http://arxiv.org/abs/2402.02879
Autor:
Iacono, Donatella, Martinengo, Elena
We analyse infinitesimal deformations of morphisms of locally free sheaves on a smooth projective variety $X$ over an algebraically closed field of characteristic zero. In particular, we describe a differential graded Lie algebra controlling the defo
Externí odkaz:
http://arxiv.org/abs/2312.09677
Autor:
Doan, An Khuong
Publikováno v:
Collectanea Mathematica (2024)
The goal of this note is to introduce an interesting question proposed by D. Rydh on an analytic version of the local structure of Artin stacks saying that near points with linearly reductive stabilizers, Artin stacks are \'etale-locally quotient sta
Externí odkaz:
http://arxiv.org/abs/2311.15244
Autor:
Felten, Simon
A classical problem in algebraic geometry is to construct smooth algebraic varieties with prescribed properties. In the approach via smoothings, one first constructs a degenerate scheme with the prescribed properties, and then shows the existence of
Externí odkaz:
http://arxiv.org/abs/2310.07949
Autor:
Lucio, Victor Roca i
The main goal of this article is to develop integration theory over a positive characteristic field, and as a by-product, construct Lie-type models for the $p$-adic homotopy types of spaces. We introduce a new type of algebraic structure called curve
Externí odkaz:
http://arxiv.org/abs/2306.07829