A geometrization of Stanley–Reisner theory
FS de Salas, AT Sancho - Journal of Pure and Applied Algebra, 2024 - Elsevier
… Stanley–Reisner theory provides a bridge between combinatorics and commutative
algebra. … Very briefly, in this paper we provide a geometric interpretation of the Stanley–Reisner
correspondence that leads to an interplay between ordinary schemes and F 1 -schemes.
Let us be more precise. Let us start by reformulating the … Notice that, for Stanley–Reisner
theory, it is much better to work on A F 1 n than on its geometric realization | A F 1 n | , since
we have a continuous map π : A k n → A F 1 n which does not lift to | A F 1 n | , because any …
algebra. … Very briefly, in this paper we provide a geometric interpretation of the Stanley–Reisner
correspondence that leads to an interplay between ordinary schemes and F 1 -schemes.
Let us be more precise. Let us start by reformulating the … Notice that, for Stanley–Reisner
theory, it is much better to work on A F 1 n than on its geometric realization | A F 1 n | , since
we have a continuous map π : A k n → A F 1 n which does not lift to | A F 1 n | , because any …
[引用][C] A geometrization of Stanley--Reisner theory
F Sancho de Salas, A Torres Sancho - arXiv e-prints, 2023 - ui.adsabs.harvard.edu
A geometrization of Stanley--Reisner theory - NASA/ADS … A geometrization of Stanley--Reisner
theory … We give a geometric interpretation of the Stanley--Reisner correspondence,
extend it to schemes, and interpret it in terms of the field of one element. …
theory … We give a geometric interpretation of the Stanley--Reisner correspondence,
extend it to schemes, and interpret it in terms of the field of one element. …
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