Zobrazeno 1 - 10
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pro vyhledávání: '"DAIGLE, DANIEL"'
We study a class of combinatorial objects that we call "decorated trees". These consist of vertices, arrows and edges, where each edge is decorated by two integers (one near each of its endpoints), each arrow is decorated by an integer, and the decor
Externí odkaz:
http://arxiv.org/abs/2409.11559
Autor:
Daigle, Daniel, Freudenburg, Gene
Let k^[6] denote a polynomial ring in 6 variables over an algebraically closed field k of characteristic zero and consider the action of SL2(k) on k^[6] induced by the irreducible representation of SL2 of degree 5 (the binary quintic representation).
Externí odkaz:
http://arxiv.org/abs/2403.12681
Autor:
Daigle, Daniel
A ring R is said to be rigid if the only locally nilpotent derivation of R is the zero derivation. Let B = (direct sum of B_n for n in Z) be a Z-graded commutative integral domain of characteristic 0. For each positive integer d, consider the Verones
Externí odkaz:
http://arxiv.org/abs/2308.05066
Autor:
Chitayat, Michael, Daigle, Daniel
Let B be a commutative $\mathbb{Z}$-graded domain of characteristic zero. An element f of B is said to be cylindrical if it is nonzero, homogeneous of nonzero degree, and such that $B_{(f)}$ is a polynomial ring in one variable over a subring. We stu
Externí odkaz:
http://arxiv.org/abs/2105.01729
We give several criteria for a ring to be a UFD including generalizations of some criteria due to P. Samuel. These criteria are applied to construct, for any field k, (1) a Z-graded non-noetherian rational UFD of dimension three over k, and (2) k-aff
Externí odkaz:
http://arxiv.org/abs/2102.06642
Autor:
Daigle, Daniel
We prove Freudenburg's Freeness Conjecture: Let B be the polynomial ring in three variables over a field of characteristic zero, let D : B --> B be a nonzero locally nilpotent derivation, and let A = ker(D). Then B is a free A-module, and there exist
Externí odkaz:
http://arxiv.org/abs/2009.14800
Autor:
Chitayat, Michael, Daigle, Daniel
Fix a field $k$ of characteristic zero. If $a_1, ..., a_n$ ($n>2$) are positive integers, the integral domain $B = k[X_1, ..., X_n] / ( X_1^{a_1} + ... + X_n^{a_n} )$ is called a Pham-Brieskorn ring. It is conjectured that if $a_i > 1$ for all $i$ an
Externí odkaz:
http://arxiv.org/abs/1907.13259
Publikováno v:
J. Algebra Appl., Vol. 14, 2015
This article is a survey of two subjects: the first part is devoted to field generators in two variables, and the second to birational endomorphisms of the affine plane. Each one of these subjects originated in Abhyankar's seminar in Purdue Universit
Externí odkaz:
http://arxiv.org/abs/1906.08614
Autor:
Daigle, Daniel
Let B be an algebra over a field k and let Der(B) be the set of k-derivations from B to B. We define what it means for a subset of Der(B) to be a locally nilpotent set. We prove some basic results about that notion and explore the following questions
Externí odkaz:
http://arxiv.org/abs/1901.04105
Let $f:\mathbb{C}^2 \to \mathbb{C}$ be a polynomial map. Let $\mathbb{C}^2 \subset X$ be a compactification of $\mathbb{C}^2$ where $X$ is a smooth rational compact surface and such that there exists a morphism of varieties $\Phi :X\to \mathbb{P}^1$
Externí odkaz:
http://arxiv.org/abs/1809.02462