Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Gunnar Fløystad"'
Publikováno v:
Oberwolfach Reports. 18:2365-2396
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::558dea5fc24cd60a216c3859dfd52c3b
https://doi.org/10.4171/owr/2021/43
https://doi.org/10.4171/owr/2021/43
Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals
Autor:
Gunnar Fløystad, Milo Orlich
Publikováno v:
Journal of Algebraic Combinatorics
A triangulation of a polygon has an associated Stanley–Reisner ideal. We obtain a full algebraic and combinatorial understanding of these ideals and describe their separated models. More generally, we do this for stacked simplicial complexes, in pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72e11d42cb39cd717344cf5839fc2684
https://hdl.handle.net/11250/3060749
https://hdl.handle.net/11250/3060749
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 32:3-47
In this paper we study Boolean equation systems, and how to eliminate variables from them while bounding the degree of polynomials produced. A procedure for variable elimination is introduced, and we relate the techniques to Grobner bases and XL meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd264249b442a26d75a101e7aaef2026
https://doi.org/10.1007/s00200-019-00399-7
https://doi.org/10.1007/s00200-019-00399-7
Autor:
Gunnar Fløystad
We consider profunctors $f : P \promap Q$ between posets and introduce their {\em graph} and {\em ascent}. The profunctors $\Pro(P,Q)$ form themselves a poset, and we consider a partition $\cI \sqcup \cF$ of this into a down-set $\cI$ and up-set $\cF
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2f25ec9f811f486a166ffe08202aaab
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030783457
We organize colored aromatic trees into a pre-Lie–Rinehart algebra (i.e., a flat torsion-free Lie–Rinehart algebra) endowed with a natural trace map, and show the freeness of this object among pre-Lie–Rinehart algebras with trace. This yields t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf03cce87845d524948b1f366a9942f7
https://doi.org/10.1007/978-3-030-78346-4_9
https://doi.org/10.1007/978-3-030-78346-4_9
Publikováno v:
Journal of Pure and Applied Algebra. 226:106924
We give a complete combinatorial characterization of all possible polarizations of powers of the graded maximal ideal $(x_1,x_2,\cdots,x_m)^n$ of a polynomial ring in $m$ variables. We also give a combinatorial description of the Alexander duals of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b143b013c7c861f25412fd8ed78fb04
https://doi.org/10.1016/j.jpaa.2021.106924
https://doi.org/10.1016/j.jpaa.2021.106924
Publikováno v:
Bulletin of the American Mathematical Society. 53:415-435
We present three exciting themes of syzygies, where major progress was made recently: Boij-Soderberg Theory, Stillman's Question, and Syzygies over Complete Intersections.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa9b75f1a9604157895eb09d4a053044
https://doi.org/10.1090/bull/1533
https://doi.org/10.1090/bull/1533
Autor:
Gunnar Fløystad, Hans Munthe-Kaas
Publikováno v:
Computation and Combinatorics in Dynamics, Stochastics and Control ISBN: 9783030015923
We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras and MKW Hopf algebras are then coordinate rings of the infinite-dimensional affine varieties consisting of series of trees, r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::861b1e3a2b866c1725f69ddf88edd884
https://doi.org/10.1007/978-3-030-01593-0_12
https://doi.org/10.1007/978-3-030-01593-0_12
Autor:
Gunnar Fløystad
For any finite poset $P$ we have the poset of isotone maps $\text{Hom}(P,\mathbb{N})$, also called $P^{op}$-partitions. To any poset ideal ${\mathcal J}$ in $\text{Hom}(P,\mathbb{N})$, finite or infinite, we associate monomial ideals: the letterplace
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d927488548098689ec68b68b7971769
http://arxiv.org/abs/1710.07456
http://arxiv.org/abs/1710.07456
Autor:
Henning Lohne, Gunnar Fløystad
Publikováno v:
Journal of Pure and Applied Algebra
We investigate the analogy between squarefree Cohen-Macaulay modules supported on a graph and line bundles on a curve. We prove a Riemann-Roch theorem, we study the Jacobian and gonality of a graph, and we prove Clifford's theorem.
Comment: Majo
Comment: Majo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9270cf2680fbeb9afa42ae2556ddcbab
https://doi.org/10.1016/j.jpaa.2012.09.010
https://doi.org/10.1016/j.jpaa.2012.09.010