Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Alessio Sammartano"'
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:
Giulio Caviglia, Alessio Sammartano
Publikováno v:
Journal of Algebra. 619:538-557
Let $ e_1, ..., e_c $ be positive integers and let $ Y \subseteq \mathbb{P}^n$ be the monomial complete intersection defined by the vanishing of $x_1^{e_1}, ..., x_c^{e_c}$. In this paper we study sharp upper bounds on the number of equations and syz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d64fa11fe2586ad0e1d2befe7e3d48b2
https://doi.org/10.1016/j.jalgebra.2022.12.015
https://doi.org/10.1016/j.jalgebra.2022.12.015
Autor:
Alessio Sammartano
Publikováno v:
Transactions of the American Mathematical Society. 373:797-818
We determine the equations of the blowup of $\mathbb{P}^n$ along a $d$-fold rational normal scroll $S$, and we prove that the Rees ring and special fiber ring of $S \subseteq \mathbb{P}^n$ are Koszul algebras.
To appear on Transactions of the Am
To appear on Transactions of the Am
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c2968923cc4c7b80b3d941183b3c275
https://doi.org/10.1090/tran/7689
https://doi.org/10.1090/tran/7689
Autor:
Ritvik Ramkumar, Alessio Sammartano
The Hilbert scheme of points $\mathrm{Hilb}^n(S)$ of a smooth surface $S$ is a well-studied parameter space, lying at the interface of algebraic geometry, commutative algebra, representation theory, combinatorics, and mathematical physics. The founda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8019aae31f48a6b902a7a922c03b2f79
Autor:
Alessio Sammartano, Ritvik Ramkumar
Publikováno v:
Journal of Pure and Applied Algebra. 226:106872
We study the geometry of standard graded Hilbert schemes of polynomial rings and exterior algebras. Our investigation is motivated by a famous theorem of Reeves and Stillman for the Grothendieck Hilbert scheme, which states that the lexicographic poi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeb3680f9b69faca82f52d06a96f019e
https://doi.org/10.1016/j.jpaa.2021.106872
https://doi.org/10.1016/j.jpaa.2021.106872
Autor:
Alessio Sammartano, Giulio Caviglia
Publikováno v:
Advances in Mathematics. 340:284-299
Let $S$ be a polynomial ring over a field and $I\subseteq S$ a homogeneous ideal containing a regular sequence of forms of degrees $d_1, \ldots, d_c$. In this paper we prove the Lex-plus-powers Conjecture when the field has characteristic 0 for all r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27ebb67a5a34c0c47afebe86823ad986
https://doi.org/10.1016/j.aim.2018.10.005
https://doi.org/10.1016/j.aim.2018.10.005
Autor:
Ritvik Ramkumar, Alessio Sammartano
In this paper we study the tangent space to the Hilbert scheme $\mathrm{Hilb}^d \mathbf{P}^3$, motivated by Haiman's work on $\mathrm{Hilb}^d \mathbf{P}^2$ and by a long-standing conjecture of Brian\c{c}on and Iarrobino on the most singular point in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddc66ddda05cbcda8760b67de31c752a
http://arxiv.org/abs/1910.07662
http://arxiv.org/abs/1910.07662
We prove the case t = 2 of a conjecture of Bruns-Conca-Varbaro, describing the minimal relations between the t x t minors of a generic matrix. Interpreting these relations as polynomial functors, and applying transpose duality as in the work of Sam-S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab4c70f27ceada945ceb3d8c439107ed
http://arxiv.org/abs/1909.11705
http://arxiv.org/abs/1909.11705
Autor:
Alessio Sammartano, David Eisenbud
This paper initiates the study of a class of schemes that we call correspondence scrolls, which includes the rational normal scrolls and linearly embedded projective bundle of decomposable bundles, as well as degenerate K3 surfaces, Calabi-Yau 3-fold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f1943b03be82810388905435a3425eb
http://hdl.handle.net/11311/1146319
http://hdl.handle.net/11311/1146319
Autor:
Alessio Sammartano
Publikováno v:
Journal of Pure and Applied Algebra. 220:3861-3865
Let $M, N$ be finite modules over a Noetherian local ring $R$, and let $G$ be the associated graded ring of $R$. We show that the bigraded Hilbert series of $gr(Tor^R(M,N))$ is obtained from that of $Tor^G(gr(M),gr(N))$ by negative consecutive cancel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c323654b8e57bc07e09633f43b495c9
https://doi.org/10.1016/j.jpaa.2016.05.017
https://doi.org/10.1016/j.jpaa.2016.05.017