Introduction to Singularities and Deformations

GM Greuel - Springer Monographs in Mathematics/Springer, 2007 - books.google.com
Singularity theory is a field of intensive study in modern mathematics with fascinating
relations to algebraic geometry, complex analysis, commutative algebra, representation …

[图书][B] Singularities, algebraic geometry, commutative algebra, and related topics

GM Greuel, L Naráivez-Macarro, S Xambó-Descamps - 2018 - Springer
The decision to prepare a volume of contributions in honor of Antonio Campillo was taken at
the University of Valladolid (Spain) during 19–23 June 2017 on the occasion of the 4th Joint …

The resolution of the Navier-Stokes equations in anisotropic spaces

D Iftimie - Revista Matemática Iberoamericana, 1999 - ems.press
In this paper we prove global existence and uniqueness for solutions of the 3-dimensional
Navier-Stokes equations with small initial data in spaces which are H i in the i-th direction …

Equations of parametric surfaces via syzygies

DA Cox - arXiv preprint math/0010107, 2000 - arxiv.org
arXiv:math/0010107v2 [math.AG] 22 Feb 2001 Page 1 arXiv:math/0010107v2 [math.AG] 22
Feb 2001 Equations of Parametric Curves and Surfaces via Syzygies David A. Cox …

On weighted bounded negativity for rational surfaces

C Galindo, F Monserrat, CJ Moreno-Ávila - arXiv preprint arXiv …, 2024 - arxiv.org
The weighted bounded negativity conjecture considers a smooth projective surface $ X $
and looks for a common lower bound on the quotients $ C^ 2/(D\cdot C)^ 2$, where $ C …

Polarity with respect ot a foliation and Cayley-Bacharach Theorems

A Campillo, J Olivares - 2001 - degruyter.com
We prove that a foliation of degree different from one on the projective plane (de® ned over
any algebraically closed ground® eld), is uniquely determined by its subscheme of singular …

Cones of curves and of line bundles on surfaces associated with curves having one place at infinity

A Campillo, O Piltant… - Proceedings of the …, 2002 - Wiley Online Library
Let V be a pencil of curves in P2 with one place at infinity, and X→ P2 the minimal
composition of point blow‐ups eliminating its base locus. We study the cone of curves and …

[图书][B] Jumping numbers of a simple complete ideal in a two-dimensional regular local ring

T Järvilehto - 2011 - ams.org
The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized
by non-negative rational numbers. As the rational number increases the corresponding …

[HTML][HTML] Systèmes de courbes planes à singularités imposées: le cas des multiplicités inférieures ou égales à quatre

T Mignon - Journal of Pure and Applied Algebra, 2000 - Elsevier
Let P1,…, Pr be r general points of the projective plane over an algebraically closed field.
Consider the linear system L of plane curves of degree d passing through each point Pi with …

Implicitization of surfaces via geometric tropicalization

MA Cueto - arXiv preprint arXiv:1105.0509, 2011 - arxiv.org
In this paper we further develop the theory of geometric tropicalization due to Hacking, Keel
and Tevelev and we describe tropical methods for implicitization of surfaces. More precisely …