Multiplizitäten nichtnoetherscher Moduln über einem Ring.
Multiplizitäten "unendlich-ferner" Spitzen.
Multivariable dimension polynomials and new invariants of differential field extensions.
Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.
The main purpose of this note is to show how Sturm-Habicht Sequence can be generalized to the multivariate case and used to compute the number of real solutions of a polynomial system of equations with a finite number of complex solutions. Using the same techniques, some formulae counting the number of real solutions of such polynomial systems of equations inside n-dimensional rectangles or triangles in the plane are presented.
Mutating seeds: types and .
In the cases and , we describe the seeds obtained by sequences of mutations from an initial seed. In the case, we deduce a linear representation of the group of mutations which contains as matrix entries all cluster variables obtained after an arbitrary sequence of mutations (this sequence is an element of the group). Nontransjective variables correspond to certain subgroups of finite index. A noncommutative rational series is constructed, which contains all this information.
-flat and -FP-injective modules
In this paper, we study the existence of the -flat preenvelope and the -FP-injective cover. We also characterize -coherent rings in terms of the -FP-injective and -flat modules.
Nagata rings and directed unions of Artinian subrings.
Nagata's Criterion and Openness of Loci for Gorenstein and Complete Intersection.
Nash Wings and Real Prime Divisors.
Near solutions of polynomial equations
Néron models and tame ramification
New evidence for Green's conjecture on syzygies of canonical curves
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Newton Polyhedra and Irreducibility.
Newton-Puiseux expansion and generalized Tschirnhausen transformation. I.
Nicht endlich erzeugte Primideale in Steinschen Algebren.
Nicht-ausgeartete reguläre Überlagerungen.
Noetherian loop spaces
The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact group...
Noether-Lefschetz, space curves and mathematical instantons.
Noether's problem for some groups of order 16n