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pro vyhledávání: '"Schweig, Jay"'
Suppose $\Delta$ is a pure simplicial complex on $n$ vertices having dimension $d$ and let $c = n-d-1$ be its codimension in the simplex. Terai and Yoshida proved that if the number of facets of $\Delta$ is at least $\binom{n}{c}-2c+1$, then $\Delta$
Externí odkaz:
http://arxiv.org/abs/2403.07316
Generalized Frobenius powers of an ideal were introduced in work of Hern\'andez, Teixeira, and Witt as characteristic-dependent analogs of test ideals. However, little is known about the Frobenius powers and critical exponents of specific ideals, eve
Externí odkaz:
http://arxiv.org/abs/2005.14643
Given an ideal in a polynomial ring, we show that the asymptotic resurgence studied by Guardo, Harbourne, and Van Tuyl can be computed using integral closures. As a consequence, the asymptotic resurgence of an ideal is the maximum of finitely many ra
Externí odkaz:
http://arxiv.org/abs/1808.01547
Let $M$ and $N$ be two monomials of the same degree, and let $I$ be the smallest Borel ideal containing $M$ and $N$. We show that the toric ring of $I$ is Koszul by constructing a quadratic Gr\"obner basis for the associated toric ideal. Our proofs u
Externí odkaz:
http://arxiv.org/abs/1706.07462
Autor:
Dao, Hailong, Schweig, Jay
Fix a field $k$. When $\Delta$ is a simplicial complex on $n$ vertices with Stanley-Reisner ideal $I_\Delta$, we define and study an invariant called the $\textit{type defect}$ of $\Delta$. Except when $\Delta$ is of a single simplex, the type defect
Externí odkaz:
http://arxiv.org/abs/1704.01243
We give a complete classification of free and non-free multiplicities on the $A_3$ braid arrangement. Namely, we show that all free multiplicities on $A_3$ fall into two families that have been identified by Abe-Terao-Wakefield (2007) and Abe-Nuida-N
Externí odkaz:
http://arxiv.org/abs/1609.00337
Autor:
Schweig, Jay, Woodroofe, Russ
Publikováno v:
Adv. Math. 313 (2017), 537-563
We introduce a new class of lattices, the modernistic lattices, and their duals, the comodernistic lattices. We show that every modernistic or comodernistic lattice has shellable order complex. We go on to exhibit a large number of examples of (co)mo
Externí odkaz:
http://arxiv.org/abs/1604.03115
Autor:
Schaefer, Alex, Schweig, Jay
We study triples of labeled dice in which the relation "is a better die than" is non-transitive. Focusing on such triples with an additional symmetry we call "balance," we prove that such triples of $n$-sided dice exist for all $n \geq 3$. We then ex
Externí odkaz:
http://arxiv.org/abs/1602.00969
Autor:
Schweig, Jay Joel
Publikováno v:
Connect to full text. Access to electronic version of some theses may be restricted..
Thesis (Ph.D.)--Cornell University, May, 2008.
Includes bibliographical references.
Includes bibliographical references.
Externí odkaz:
http://hdl.handle.net/1813/10735
Publikováno v:
In Journal of Algebra 15 February 2020 544:498-532