dc.contributor.author Herzog, Jürgen dc.contributor.author Jafari, Raheleh dc.contributor.author Nasrollah Nejad, Abbas dc.date.accessioned 2018-04-25T09:49:51Z dc.date.available 2018-04-25T09:49:51Z dc.date.issued 2018-04-25 dc.identifier.uri http://publications.mfo.de/handle/mfo/1360 dc.description.abstract Let $A$ be a $K$-subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of degree $(r-1)d$ in $S$. We describe the generators and the structure of $\mathbb{G}(A)$, when $A$ is a Borel fixed algebra, a squarefree Veronese algebra, generated in degree $2$, or the edge ring of a bipartite graph with at least one loop. For a bipartite graph $G$ with one loop, the embedding dimension of $\mathbb{G}(A)$ is bounded by the complexity of the graph $G$. en_US dc.language.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2018,07 dc.subject Gauss map en_US dc.subject Gauss algebra en_US dc.subject Birational morphism en_US dc.subject Borel fixed algebra en_US dc.subject Squarefree Veronese algebra en_US dc.subject Edge ring en_US dc.title On the Gauss Algebra of Toric Algebras en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2018-07 local.scientificprogram Research in Pairs 2018 en_US local.series.id OWP-2018-07 en_US local.subject.msc 13 en_US local.subject.msc 14 en_US local.subject.msc 05 en_US dc.identifier.urn urn:nbn:de:101:1-201804279269 dc.identifier.ppn 1655259458
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