Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Schoutens, Hans"'
Autor:
Schoutens, Hans
We show how for a three-dimensional complete local ring in positive characteristic, the existence of an F-invariant, differentiable derivation implies Hochster's small MCM conjecture. As an application we show that any three-dimensional pseudo-graded
Externí odkaz:
http://arxiv.org/abs/1911.05335
Publikováno v:
Computing with Foresight and Industry: 15th Conference on Computability in Europe, CiE 2019, eds. F. Manea, B. Martin, D. Paulusma, & G. Primiero, Lecture Notes in Computer Science 11558 (Berlin: Springer-Verlag, 2019), 205--216
We show that for both the unary relation of transcendence and the finitary relation of algebraic independence on a field, the degree spectra of these relations may consist of any single computably enumerable Turing degree, or of those c.e. degrees ab
Externí odkaz:
http://arxiv.org/abs/1903.09882
We construct a fully faithful functor from the category of graphs to the category of fields. Using this functor, we resolve a longstanding open problem in computable model theory, by showing that for every nontrivial countable structure S, there exis
Externí odkaz:
http://arxiv.org/abs/1510.07322
Autor:
Li, Charles, Schoutens, Hans
We use dual graphs and generating sequences of valuations to compute the Poincare series of non-divisorial valuations on function fields of dimension two. The Poincare series are shown to reflect data from the dual graphs and hence carry equivalent i
Externí odkaz:
http://arxiv.org/abs/1504.05656
Autor:
Schoutens, Hans
We prove Hochster's small MCM conjecture for three-dimensional complete F-pure rings. We deduce this from a more general criterion, and show that only a weakening of the notion of F-purity is needed, to wit, being weakly F-split. We conjecture that a
Externí odkaz:
http://arxiv.org/abs/1408.6212
Autor:
Schoutens, Hans
In analogy with the classical, affine toric rings, we define a local toric ring as the quotient of a regular local ring modulo an ideal generated by binomials in a regular system of parameters with unit coefficients; if the coefficients are just $\pm
Externí odkaz:
http://arxiv.org/abs/1408.6220
Autor:
Schoutens, Hans
We generalize the notion of length to an ordinal-valued invariant defined on the class of finitely generated modules over a Noetherian ring. A key property of this invariant is its semi-additivity on short exact sequences. We show how to calculate th
Externí odkaz:
http://arxiv.org/abs/1309.6694
Autor:
Schoutens, Hans
We extend the classical length function to an ordinal-valued invariant on the class of all finite-dimensional Noetherian modules. We show how to calculate this combinatorial invariant by means of the fundamental cycle of the module, thus linking the
Externí odkaz:
http://arxiv.org/abs/1301.6457
Autor:
Miller, Russell, Schoutens, Hans
Publikováno v:
Computability 2 (2013), 51-65
We construct a computable, computably categorical field of infinite transcendence degree over the rational numbers, using the Fermat polynomials and assorted results from algebraic geometry. We also show that this field has an intrinsically computabl
Externí odkaz:
http://arxiv.org/abs/1212.6751
Autor:
Schoutens, Hans
Based upon properties of ordinal length, we introduce a new class of modules, the binary modules, and study their endomorphism ring. The nilpotent endomorphisms form a two-sided ideal, and after factoring this out, we get a commutative ring. In parti
Externí odkaz:
http://arxiv.org/abs/1212.2171