Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Lella, Paolo"'
We investigate some aspects of the geometry of two classical generalisations of the Hilbert schemes of points. Precisely, we show that parity conjecture for $\text{Quot}_r^d\mathbb{A}^3$ already fails for $d=8$ and $r=2$ and that lots of the elementa
Externí odkaz:
http://arxiv.org/abs/2403.03146
Let $C$ be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on $C$, a moduli space introduced by the third author in the context of BPS invariants of local curves and sheaf counting o
Externí odkaz:
http://arxiv.org/abs/2310.09230
Let $[Z]\in\text{Hilb}^d \mathbb A^3$ be a zero-dimensional subscheme of the affine three-dimensional complex space of length $d>0$. Okounkov and Pandharipande have conjectured that the dimension of the tangent space of $\text{Hilb}^d \mathbb A^3$ at
Externí odkaz:
http://arxiv.org/abs/2305.18191
Autor:
Kambe, Yuta, Lella, Paolo
We give a notion of "combinatorial proximity" among strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial. We show that this notion guarantees "geometric proximity" of the corresponding points in the Hilbert scheme. We def
Externí odkaz:
http://arxiv.org/abs/2002.08284
Let $P_{\text{MAX}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve of degree $d$ in $\mathbb{P}^3$ that is not contained in a surface of degree $
Externí odkaz:
http://arxiv.org/abs/1806.08731
We construct stable vector bundles on the space of symmetric forms of degree d in n+1 variables which are equivariant for the action of SL_{n+1}(C), and admit an equivariant free resolution of length 2. For n=1, we obtain new examples of stable vecto
Externí odkaz:
http://arxiv.org/abs/1804.06211
We present an alternate proof, much quicker and more straightforward than the original one, of a celebrated Fulton's conjecture on the ample cone of the moduli space of stable rational curves with n marked points in the case n=7.
Externí odkaz:
http://arxiv.org/abs/1607.08437
We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded Artinian modules with pure resolutions. Our method allows one t
Externí odkaz:
http://arxiv.org/abs/1505.04204
Autor:
Alberelli, Davide, Lella, Paolo
Publikováno v:
J. Softw. Alg. Geom. 9 (2019) 1-9
The \texttt{StronglyStableIdeals} package for \textit{Macaulay2} provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial. A description of the main method and auxiliary tools is giv
Externí odkaz:
http://arxiv.org/abs/1406.6924
We study the critical points of the likelihood function over the Fermat hypersurface. This problem is related to one of the main problems in statistical optimization: maximum likelihood estimation. The number of critical points over a projective vari
Externí odkaz:
http://arxiv.org/abs/1404.5745