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pro vyhledávání: '"Adiprasito, Karim Alexander"'
Recent works of the authors have demonstrated the usefulness of considering moduli spaces of Artinian reductions of a given ring when studying standard graded rings and their Lefschetz properties. This paper illuminates a key aspect of these works, t
Externí odkaz:
http://arxiv.org/abs/2407.11916
Autor:
Adiprasito, Karim Alexander, Papadakis, Stavros Argyrios, Petrotou, Vasiliki, Steinmeyer, Johanna Kristina
We study semigroup algebras arising from lattice polytopes, compute their volume polynomials (particularizing work of Hochster), and establish strong Lefschetz properties (generalizing work of the first three authors). This resolves several conjectur
Externí odkaz:
http://arxiv.org/abs/2210.10734
Autor:
Adiprasito, Karim Alexander
The purpose of this thesis is to study classical combinatorial objects, such as polytopes, polytopal complexes, and subspace arrangements, using tools that have been developed in combinatorial topology, especially those tools developed in connection
Externí odkaz:
http://arxiv.org/abs/1403.2657
The purpose of this paper is to establish analogues of the classical Lefschetz Section Theorem for smooth tropical varieties. More precisely, we prove tropical analogues of the section theorems of Lefschetz, Andreotti-Frankel, Bott-Milnor-Thom, Hamm-
Externí odkaz:
http://arxiv.org/abs/1401.7301
Using an intuition from metric geometry, we prove that any flag and normal simplicial complex satisfies the non-revisiting path conjecture. As a consequence, the diameter of its facet-ridge graph is smaller than the number of vertices minus the dimen
Externí odkaz:
http://arxiv.org/abs/1303.3598
We prove that every polytope described by algebraic coordinates is the face of a projectively unique polytope. This provides a universality property for projectively unique polytopes. Using a closely related result of Below, we construct a combinator
Externí odkaz:
http://arxiv.org/abs/1301.2960
We prove that the second derived subdivision of any rectilinear triangulation of any convex polytope is shellable. Also, we prove that the first derived subdivision of every rectilinear triangulation of any convex 3-dimensional polytope is shellable.
Externí odkaz:
http://arxiv.org/abs/1202.6606
Publikováno v:
Adiprasito, K A, Kalmanovich, D & Nevo, E 2020, ' On the realization space of the cube ', Séminaire Lotharingien de Combinatoire, vol. 84B, 80 .
We prove that the realization space of the d-dimensional cube is contractible. For this we first show that any two realizations are connected by a finite sequence of projective transformations and normal transformations. As an application we use this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2751::282ed1dc02a37c280ea6774fff9734ef
https://curis.ku.dk/ws/files/257708937/On_the_realization_space_of_the_cube.pdf
https://curis.ku.dk/ws/files/257708937/On_the_realization_space_of_the_cube.pdf
Autor:
Adiprasito, Karim Alexander
The purpose of this thesis is to study classical objects, such as polytopes, polytopal complexes, and subspace arrangements. We will tackle problems, old and new, concerning them. We do so by using some of the new tools that have been developed in co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d691ac8d8fa003678ee68d1b74a9e25d
https://doi.org/10.17169/refubium-13064
https://doi.org/10.17169/refubium-13064