[PDF][PDF] Multi-Rees algebras and toric dynamical systems
DA Cox, KN Lin, G Sosa - arXiv preprint arXiv:1806.08184, 2018 - arxiv.org
arXiv:1806.08184v2 [math.AC] 6 Feb 2019 Page 1 arXiv:1806.08184v2 [math.AC] 6 Feb 2019
MULTI-REES ALGEBRAS AND TORIC DYNAMICAL SYSTEMS DAVID A. COX, KUEI-NUAN …
MULTI-REES ALGEBRAS AND TORIC DYNAMICAL SYSTEMS DAVID A. COX, KUEI-NUAN …
Ehrhart theory of spanning lattice polytopes
J Hofscheier, L Katthän, B Nill - … Mathematics Research Notices, 2018 - academic.oup.com
The key object in the Ehrhart theory of lattice polytopes is the numerator polynomial of the
rational generating series of the Ehrhart polynomial, called-polynomial. In this article, we …
rational generating series of the Ehrhart polynomial, called-polynomial. In this article, we …
Likelihood geometry of reflexive polytopes
C Améndola, J Oldekop - Algebraic Statistics, 2024 - msp.org
We study the problem of maximum likelihood (ML) estimation for statistical models defined
by reflexive polytopes. Our focus is on the maximum likelihood degree of these models as …
by reflexive polytopes. Our focus is on the maximum likelihood degree of these models as …
Polyhedral adjunction theory
S Di Rocco, C Haase, B Nill, A Paffenholz - Algebra & Number Theory, 2014 - msp.org
In this paper we offer a combinatorial view on the adjunction theory of toric varieties. Inspired
by classical adjunction theory of polarized algebraic varieties we explore two convex …
by classical adjunction theory of polarized algebraic varieties we explore two convex …
A simple combinatorial criterion for projective toric manifolds with dual defect
A Dickenstein, B Nill - arXiv preprint arXiv:1001.2792, 2010 - arxiv.org
We show that any smooth lattice polytope P with codegree greater or equal than (dim (P)+
3)/2 (or equivalently, with degree smaller than dim (P)/2), defines a dual defective projective …
3)/2 (or equivalently, with degree smaller than dim (P)/2), defines a dual defective projective …
Likelihood Geometry of Reflexive Polytopes
C Améndola, J Oldekop - arXiv preprint arXiv:2311.13572, 2023 - arxiv.org
We study the problem of maximum likelihood (ML) estimation for statistical models defined
by reflexive polytopes. Our focus is on the maximum likelihood degree of these models as …
by reflexive polytopes. Our focus is on the maximum likelihood degree of these models as …
Primitive point packing
A Deza, L Pournin - Mathematika, 2022 - Wiley Online Library
A point in the d‐dimensional integer lattice Z d Z^d is primitive when its coordinates are
relatively prime. Two primitive points are multiples of one another when they are opposite …
relatively prime. Two primitive points are multiples of one another when they are opposite …
[HTML][HTML] Algebro-geometric characterization of Cayley polytopes
A Ito - Advances in Mathematics, 2015 - Elsevier
Algebro-geometric characterization of Cayley polytopes - ScienceDirect Skip to main contentSkip
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Toric polynomial generators of complex cobordism
A Wilfong - Algebraic & Geometric Topology, 2016 - msp.org
Although it is well known that the complex cobordism ring Ω∗ U is isomorphic to the
polynomial ring ℤ [α 1, α 2,…], an explicit description for convenient generators α 1, α 2 …
polynomial ring ℤ [α 1, α 2,…], an explicit description for convenient generators α 1, α 2 …
Fibered toric varieties
A Khovanskii, L Monin - arXiv preprint arXiv:2311.01754, 2023 - arxiv.org
A toric variety is called fibered if it can be represented as a total space of fibre bundle over
toric base and with toric fiber. Fibered toric varieties form a special case of toric variety …
toric base and with toric fiber. Fibered toric varieties form a special case of toric variety …