Smoothable locally Cohen--Macaulay and non Cohen--Macaulay multiple structures on curves
FJ Gallego, M González, BP Purnaprajna - arXiv preprint arXiv:1211.5458, 2012 - arxiv.org
… non reduced schemes. Still, some of them, the so–called ropes are relatively nice (a rope
on a smooth, irreducible projective curve Y of Pr, is locally Cohen–Macaulay and contained in …
on a smooth, irreducible projective curve Y of Pr, is locally Cohen–Macaulay and contained in …
Generalization of Grothendieck duality over Serre duality in 𝘥𝘦𝘨ₙ Cohen-Macauly schemes representing Calabi–Yau 3-fold on Bogomolov–Tian–Todorov Theorem
D Bhattacharjee - 2022 - researchsquare.com
… to the Cohen – Macaulay Schemes over the Serre duality on Smooth Schemes for category
… CohenMacaulay can be given over a sub-scheme 𝑆 𝑉 ∀𝑋𝑐 ⊂ ℙ𝑛 then the ideal sheaf …
… CohenMacaulay can be given over a sub-scheme 𝑆 𝑉 ∀𝑋𝑐 ⊂ ℙ𝑛 then the ideal sheaf …
The Greedy Algorithm and the Cohen-Macaulay property of rings, graphs and toric projective curves
A Arratia - … Geometry, Commutative Algebra, and Related Topics …, 2018 - Springer
… Cohen-Macaulay property is formally defined, a review of other equivalent frameworks more
suitable for graphs or arithmetical … For arithmetic problems it is appropriate to work within the …
suitable for graphs or arithmetical … For arithmetic problems it is appropriate to work within the …
Rank 2 arithmetically Cohen–Macaulay bundles on a nonsingular cubic surface
D Faenzi - Journal of Algebra, 2008 - Elsevier
… ), a vector bundle E on Y is called arithmetically Cohen–Macaulay (aCM) if all its intermediate …
Given a positive integer m, we denote the Quot-scheme parameterizing subscheme Z ⊂ Y …
Given a positive integer m, we denote the Quot-scheme parameterizing subscheme Z ⊂ Y …
On the structure of finitely generated modules over quotients of Cohen-Macaulay local rings
… The unmixed degree is a natural generalization of the ordinary degree as well as the
arithmetic degree (for the definition of arithmetic degree, adeg(I,M), we refer to Definition 5.1). We …
arithmetic degree (for the definition of arithmetic degree, adeg(I,M), we refer to Definition 5.1). We …
A criterion for sequential Cohen-Macaulayness
G Caviglia, A De Stefani - Archiv der Mathematik, 2024 - Springer
… To state our main theorem, we recall the notion of arithmetic degree, introduced by Bayer
and Mumford in [3] (see also [21, 22]). First, recall that if \(0\ne M\) is a finitely generated \(\…
and Mumford in [3] (see also [21, 22]). First, recall that if \(0\ne M\) is a finitely generated \(\…
The singularities of the principal component of the Hilbert scheme of points
K Lee - Journal of Algebra, 2010 - Elsevier
… scheme of points in the plane is normal, Cohen–Macaulay and … scheme over the principal
component of Hilbn(Cd) is Cohen–… Let S ⊂ PN be a projective arithmetically Cohen–Macaulay …
component of Hilbn(Cd) is Cohen–… Let S ⊂ PN be a projective arithmetically Cohen–Macaulay …
When the positivity of the -vector implies the Cohen-Macaulay property
F Cioffi, R Di Gennaro - Ricerche di Matematica, 2014 - Springer
… of 0-dimensional schemes, which are always aCM. Nevertheless, the only knowledge of 0-…
schemes is not sufficient to give answers to our question because we deal also with schemes …
schemes is not sufficient to give answers to our question because we deal also with schemes …
[PDF][PDF] A NOTE ON THE HILBERT SCHEME OF CURVES OF
I Sabadini - Universitae Politecnico di Torino - seminariomatematico.polito.it
… Hilbert schemes Hd , g of locally Cohen–Macaulay curves C⊂ P3 of degree d and arithmetic
… connectedness of the Hilbert scheme Hd , g of locally Cohen– Macaulay curves in P3= P3 …
… connectedness of the Hilbert scheme Hd , g of locally Cohen– Macaulay curves in P3= P3 …
Arithmetic Macaulayfications using ideals of dimension one
IM Aberbach - Illinois Journal of Mathematics, 1996 - projecteuclid.org
… modules which obstruct the Cohen-Macaulay property. Work ofBrodmann [Br2] … arithmetic
Macaulayfication for local rings whose completions areequidimensional and Cohen-Macaulay …
Macaulayfication for local rings whose completions areequidimensional and Cohen-Macaulay …