Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Àlgebra homològica"'
Publikováno v:
Journal of Symbolic Computation. 115:124-141
We make explicit the exponential bound on the degrees of the polynomials appearing in the Effective Quillen-Suslin Theorem, and apply it jointly with the Hilbert-Burch Theorem to show that the syzygy module of a sequence of $m$ polynomials in $n$ var
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a3f5d5a39633a4f64de546ac06cb4bd
https://doi.org/10.1016/j.jsc.2022.08.004
https://doi.org/10.1016/j.jsc.2022.08.004
Publikováno v:
Proceedings of the American Mathematical Society. 150:1493-1503
Given a commutative local ring $(R,\mathfrak m)$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[It]$ has been recently studied as a unified approach to the Nagata's idealization and the amalgamated duplication and as a way to c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7675418cf77ea226222293c3f8fbd012
https://doi.org/10.1090/proc/15819
https://doi.org/10.1090/proc/15819
Autor:
Lladó Duran, Marc
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joana Cirici
[en] In this work, we give an introduction to complex geometry and Calabi-Yau manifolds. We begin by recalling the n
[en] In this work, we give an introduction to complex geometry and Calabi-Yau manifolds. We begin by recalling the n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______963::643c9bfdcd44acaa46cc92838b03c41e
http://hdl.handle.net/2445/198705
http://hdl.handle.net/2445/198705
Autor:
Lecha Sánchez, Manuel
We explore Persistence Theory in its full generality. As a particular instance, we first discuss one parameter persistence theory, which arises from uniparametric filtrations of spaces. Although enjoying many excellent properties, it often does not c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3484::df5a32e68c946fb9b1e818af36beae43
https://hdl.handle.net/2117/375068
https://hdl.handle.net/2117/375068
Autor:
Ballester Bautista, Rubén
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
Generalisation measures are metrics that indicate how well a neural network will perform in presence of unknown data. Differentiable generalisation measures with respect to the parameters of a neural network that use only the training set are candida
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4708c1012b3fcdf8d5c052c8cfcca865
https://hdl.handle.net/2117/373847
https://hdl.handle.net/2117/373847
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary monomial ideal. The pruned resolution is not simplicial in general, but we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51782f1e5c2445188b65293002685ceb
https://doi.org/10.1016/j.jalgebra.2019.09.013
https://doi.org/10.1016/j.jalgebra.2019.09.013
Autor:
Ball, Simeon Michael, Adriaensen, Sam
We prove that an additive code over a finite field which has a few projections which are equivalent to a linear code is itself equivalent to a linear code, providing the code is not too short.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3484::48cc5a4bc4e7e77482ca92d9fccd61b6
https://hdl.handle.net/2117/387261
https://hdl.handle.net/2117/387261
In this paper we review some of the fundamental properties of the free group and give a detailed account of Stallings's theory of automata, a geometric interpretation of its subgroups that has been (and still is) immensely fruitful, both as a means o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58f9eee767530398ca4c2e586de45381
Autor:
Chércoles Cuesta, Iván
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
In this thesis, we want to present the basic theory of tensor categories in order to give a precise statement of what is a neutral Tannakian category, which is the simplest notion of Tannakian category. After that, we give a description of the basic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fbe011885dc4afa58e69c2d701251e06
http://hdl.handle.net/2117/349210
http://hdl.handle.net/2117/349210
Autor:
Galve Regolf, Sergi
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
This project, termed Cell Sets and Decomposition Spaces, is an introduction to the connections between homotopy and algebraic combinatorics. The main goal is to understand the category Cell of cell-sets and cell-maps, introduced by N. Ray and W. Schm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1649e85e7219962a43e059bbe1529db8
https://hdl.handle.net/2117/330638
https://hdl.handle.net/2117/330638