Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Hà, Huy Tài"'
Autor:
Banerjee, Arindam, Ha, Huy Tai
Publikováno v:
J. Algebraic Combin. 58 (2023), no. 1, 307-323
Let $k$ be a field, let $A$ and $B$ be polynomial rings over $k$, and let $S= A \otimes_k B$. Let $I \subseteq A$ and $J \subseteq B$ be monomial ideals. We establish a binomial expansion for rational powers of $I+J \subseteq S$ in terms of those of
Externí odkaz:
http://arxiv.org/abs/2207.00730
There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of minimal primes. Elaborating on an idea known to Eisenbud, Herzog, Hibi, and Trung, we interpret
Externí odkaz:
http://arxiv.org/abs/2112.09338
Autor:
Ha, Huy Tai, Van Tuyl, Adam
In 1999 Herzog and Hibi introduced componentwise linear ideals. A homogeneous ideal $I$ is componentwise linear if for all non-negative integers $d$, the ideal generated by the homogeneous elements of degree $d$ in $I$ has a linear resolution. For sq
Externí odkaz:
http://arxiv.org/abs/2112.03050
Autor:
Ha, Huy Tai, Nguyen, Thai Thanh
Let $\mathcal{I} = \{I_k\}_{k \in \mathbb{N}}$ be a graded family of monomial ideal. We use the Newton-Okounkov body of $\mathcal{I}$ to: (a) give a characterization for the Noetherian property of the Rees algebra of the family; and (b) present a com
Externí odkaz:
http://arxiv.org/abs/2111.00681
Autor:
Ha, Huy Tai, Trung, Ngo Viet
We survey recent studies and results on the following problem: which numerical functions can be the depth function of powers and symbolic powers of homogeneous ideals.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2106.08203
Publikováno v:
Alg. Number Th. 16 (2022) 1531-1546
We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds f
Externí odkaz:
http://arxiv.org/abs/2104.01218
Autor:
Ha, Huy Tai, Mantero, Paolo
We present a proof of the celebrated result due to Alexander and Hirschowitz which determines when a general set of double points in $\mathbb P^n$ has the expected Hilbert function. Our intended audience are Commutative Algebraists who may be new to
Externí odkaz:
http://arxiv.org/abs/2101.09762
A squarefree monomial ideal is called an $f$-ideal if its Stanley-Reisner and facet simplicial complexes have the same $f$-vector. We show that $f$-ideals generated in a fixed degree have asymptotic density zero when the number of variables goes to i
Externí odkaz:
http://arxiv.org/abs/2011.03067
We investigate Demailly's Conjecture for a general set of sufficiently many points. Demailly's Conjecture generalizes Chudnovsky's Conjecture in providing a lower bound for the Waldschmidt constant of a set of points in projective spaces. We also stu
Externí odkaz:
http://arxiv.org/abs/2009.05022
Publikováno v:
IJAC 31 (2021) 865 - 881
We show that attaching a whisker (or a pendant) at the vertices of a cycle cover of a graph results in a new graph with the following property: all symbolic powers of its cover ideal are Koszul or, equivalently, componentwise linear. This extends pre
Externí odkaz:
http://arxiv.org/abs/2009.02312