Functional norms, condition numbers and numerical algorithms in algebraic geometry

Daniel Lazard proved in [4] that every flat A-module M is the direct limit of free finite A-modules.. Conversely, a direct limit of free finite modules

In this context, we have the following fundamental vanishing theorem, which is probably one of the most central results of analytic and algebraic geometry (as we will see later,

— Poisson algebras, operads, derived stacks, Gromov-Witten invariants, derived algebraic geometry, higher categories, deformation theory, moduli problems, di ff erential graded

We say that Z is a period matrix of an algebraic curve X over R of genus g if W^ and the Jacobian variety of X are isomorphic as polarized Abelian varieties over R.... An

Dieudonn´e’s account deals briskly with the first half of the paper where Dedekind and Weber drew out the analogy between number fields and function fields. Ideals in this ring

The fundamental problem of distance geometry consists in finding a realization of a given weighted graph in a Euclidean space of given dimension, in such a way that vertices

During the proof of Proposition 3.2, we adapt several tools concerning ratios of power series developed in [MMZ03a] and also make use of Artin’s approximation theorem over the

Using some more arguments from real algebraic geometry one can also reduce the problem of computing a finite set of points guaranteed to meet every semi-algebraically