Zobrazeno 1 - 10
of 390
pro vyhledávání: '"Francisco, Christopher A."'
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
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:
Andersen, Henning Haahr
Publikováno v:
Andersen, H H 2010, ' Review of: Edidin, Dan; Francisco, Christopher A. "Grassmannians and representations". J. Commut. Algebra 1 (2009), no. 3, 381–392. ', Mathematical Reviews .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pure_au_____::3f70b69274efcc905bcb77b96c85304d
https://pure.au.dk/portal/da/publications/review-of-edidin-dan-francisco-christopher-a-grassmannians-and-representations-j-commut-algebra-1-2009-no-3-381392(ae443d50-e74d-11df-a891-000ea68e967b).html
https://pure.au.dk/portal/da/publications/review-of-edidin-dan-francisco-christopher-a-grassmannians-and-representations-j-commut-algebra-1-2009-no-3-381392(ae443d50-e74d-11df-a891-000ea68e967b).html
Publikováno v:
In Journal of Algebra 15 February 2020 544:498-532
Publikováno v:
In Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday, I. Peeva (ed.), 2013, pp. 373-392
We survey research relating algebraic properties of powers of squarefree monomial ideals to combinatorial structures. In particular, we describe how to detect important properties of (hyper)graphs by solving ideal membership problems and computing as
Externí odkaz:
http://arxiv.org/abs/1303.6642
In attempting to understand how combinatorial modifications alter algebraic properties of monomial ideals, several authors have investigated the process of adding "whiskers" to graphs. In this paper, we study a similar construction to build a simplic
Externí odkaz:
http://arxiv.org/abs/1209.3008
We introduce the notion of Q-Borel ideals: ideals which are closed under the Borel moves arising from a poset Q. We study decompositions and homological properties of these ideals, and offer evidence that they interpolate between Borel ideals and arb
Externí odkaz:
http://arxiv.org/abs/1110.6373
We use the notion of Borel generators to give alternative methods for computing standard invariants, such as associated primes, Hilbert series, and Betti numbers, of Borel ideals. Because there are generally few Borel generators relative to ordinary
Externí odkaz:
http://arxiv.org/abs/1006.1436