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pro vyhledávání: '"Smolkin, Daniel"'
Autor:
Smolkin, Daniel
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 8 (January 22, 2024) epiga:9918
Let $J$ be any ideal in a strongly $F$-regular, diagonally $F$-split ring $R$ essentially of finite type over an $F$-finite field. We show that $J^{s+t} \subseteq \tau(J^{s - \epsilon}) \tau(J^{t-\epsilon})$ for all $s, t, \epsilon > 0$ for which the
Externí odkaz:
http://arxiv.org/abs/2208.00051
Autor:
Kenkel, Jennifer, McPherson, Lillian, Page, Janet, Smolkin, Daniel, Stephenson, Monroe, Yang, Fuxiang
In this paper, we study the differential power operation on ideals. We begin with a focus on monomial ideals in characteristic 0 and find a class of ideals whose differential powers are eventually principal. We also study the containment problem betw
Externí odkaz:
http://arxiv.org/abs/2111.15653
Publikováno v:
J. Softw. Alg. Geom. 12 (2022) 17-26
This paper describes the RationalMaps package for Macaulay2. This package provides functionality for computing several aspects of rational maps such as whether a map is birational, or a closed embedding.
Comment: 9 pages. The current version of
Comment: 9 pages. The current version of
Externí odkaz:
http://arxiv.org/abs/1908.04337
Autor:
Boix, Alberto F., Hernández, Daniel J., Kadyrsizova, Zhibek, Katzman, Mordechai, Malec, Sara, Robinson, Marcus, Schwede, Karl, Smolkin, Daniel, Teixeira, Pedro, Witt, Emily E.
Publikováno v:
J. Softw. Alg. Geom. 9 (2019) 89-110
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, $p^{-e}$-linear and $p^{e}$-linear maps, singularities defined in terms of these maps, different ty
Externí odkaz:
http://arxiv.org/abs/1810.02770
We exhibit a class of Hibi rings which are diagonally F-regular over fields of positive characteristic, and diagonally $F$-regular type over fields of characteristic zero, in the sense of Carvajal-Rojas and Smolkin. It follows that such Hibi rings sa
Externí odkaz:
http://arxiv.org/abs/1810.00149
Publikováno v:
J. Algebra 548 (2020), 25--52
Let $k$ be a field of positive characteristic. Building on the work of the second named author, we define a new class of $k$-algebras, called diagonally $F$-regular algebras, for which the so-called Uniform Symbolic Topology Property (USTP) holds eff
Externí odkaz:
http://arxiv.org/abs/1807.03928
Autor:
Smolkin, Daniel
We exhibit a new subadditivity formula for test ideals on singular varieties using an argument similar to those of Demailly-Ein-Lazarsfeld and Hara-Yoshida. Any subadditivity formula for singular varieties must have a correction term that measures th
Externí odkaz:
http://arxiv.org/abs/1805.08739
Autor:
Améndola, Carlos, Bliss, Nathan, Burke, Isaac, Gibbons, Courtney R., Helmer, Martin, Hoşten, Serkan, Nash, Evan D., Rodriguez, Jose Israel, Smolkin, Daniel
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial parameterization of the toric variety, one can change the ML degree. We sho
Externí odkaz:
http://arxiv.org/abs/1703.02251
Publikováno v:
In Journal of Algebra 15 April 2020 548:25-52
Autor:
Smolkin, Daniel
Publikováno v:
In Journal of Pure and Applied Algebra March 2020 224(3):1132-1172