Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Adam Boocher"'
Publikováno v:
Le Matematiche, Vol 70, Iss 1, Pp 215-237 (2015)
Let R = S/I where S = k[T_1, . . . , T_n] and I is a homogeneous ideal in S. The acyclic closure R of k over R is a DG algebra resolution obtained by means of Tate’s process of adjoining variables to kill cycles. In a similar way one can obtain the
Externí odkaz:
https://doaj.org/article/e4278af537b64ea89948063eb17c8bf7
Autor:
Adam Boocher, Eloísa Grifo
Publikováno v:
Commutative Algebra ISBN: 9783030896935
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bc9293b0d94930cdc942ef28967702a
https://doi.org/10.1007/978-3-030-89694-2_2
https://doi.org/10.1007/978-3-030-89694-2_2
Publikováno v:
Injury. 52(8)
The technique for placing iliosacral screws typically involves the surgeon using an inlet and outlet view as the primary means for assessing the anteroposterior and craniocaudal position of the guidewire, respectively. However, because these views ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f45d2e34baf346e41035ed688187ce57
https://pubmed.ncbi.nlm.nih.gov/34176636
https://pubmed.ncbi.nlm.nih.gov/34176636
Autor:
Adam Boocher, Derrick Wigglesworth
Suppose that $M$ is a finitely-generated graded module of codimension $c\geq 3$ over a polynomial ring and that the regularity of $M$ is at most $2a-2$ where $a\geq 2$ is the minimal degree of a first syzygy of $M$. Then we show that the sum of the b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92fd6c5edc79739db22b89ccc90f0c46
Autor:
Bryan Brown, Karl Schaefer, Amy Nesky, Laura Lyman, Adam Boocher, Takumi Murayama, Timothy Duff
Publikováno v:
Annals of Combinatorics. 19:641-660
Let I be a toric ideal. We say I is robust if its universal Groebner basis is a minimal generating set. We show that any robust toric ideal arising from a graph G is also minimally generated by its Graver basis. We then completely characterize all gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e5eb8ce3578739c6f1e177306c87054
https://doi.org/10.1007/s00026-015-0288-3
https://doi.org/10.1007/s00026-015-0288-3
Autor:
Federico Ardila, Adam Boocher
Publikováno v:
Journal of Algebraic Combinatorics. 43:199-235
Given a linear space L in affine space A^n, we study its closure L' in the product of projective lines (P^1)^n. We show that the degree, multigraded Betti numbers, defining equations, and universal Grobner basis of its defining ideal I(L') are all co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3262b6bd8516794c99caaa199e14ee23
https://doi.org/10.1007/s10801-015-0634-x
https://doi.org/10.1007/s10801-015-0634-x
Autor:
Adam Boocher, Elina Robeva
Publikováno v:
Journal of Symbolic Computation. 68:254-264
We call an ideal in a polynomial ring robust if it can be minimally generated by a universal Gr\"obner basis. In this paper we show that robust toric ideals generated by quadrics are essentially determinantal. We then discuss two possible generalizat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1139eccec9d761e83c0434077e1d700
https://doi.org/10.1016/j.jsc.2014.09.019
https://doi.org/10.1016/j.jsc.2014.09.019
Autor:
Adam Boocher, James Seiner
Let I be a monomial ideal of height c in a polynomial ring S over a field k. If I is not generated by a regular sequence, then we show that the sum of the betti numbers of S/I is at least 2^c + 2^{c-1} and characterize when equality holds. Lower boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c69e201c065a619f11bd75ef2c3407a5
Publikováno v:
Homological and Computational Methods in Commutative Algebra ISBN: 9783319619422
This work concerns commutative algebras of the form R = Q∕I, where Q is a standard graded polynomial ring and I is a homogenous ideal in Q. It has been proposed that when R is Koszul the ith Betti number of R over Q is at most \(\binom{g}{i}\), whe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20142d972b92c04c4f2dc8e263ec118e
https://doi.org/10.1007/978-3-319-61943-9_3
https://doi.org/10.1007/978-3-319-61943-9_3
Publikováno v:
Canadian Journal of Mathematics. 62:721-736
Let (T,M) be a complete local (Noetherian) ring such that dimT ≥ 2 and |T| = |T/M| and let ﹛pi﹜i∈𝒥 be a collection of elements of T indexed by a set I so that |𝒥| < |T|. For each i ∈ 𝒥, let Ci := ﹛Qi1, … ,Qini ﹜ be a set of n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c9813cec9206ea8d9fc33b176835899
https://doi.org/10.4153/cjm-2010-014-6
https://doi.org/10.4153/cjm-2010-014-6