Zobrazeno 1 - 10
of 107
pro vyhledávání: '"14-XX"'
Autor:
Hua, Zheng, Polishchuk, Alexander
We establish a link between open positroid varieties in the Grassmannians $G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle $C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to
Externí odkaz:
http://arxiv.org/abs/2404.03935
Autor:
Flamm, Xenia, Maret, Arnaud
These notes transcribe a workshop about the notion of total positivity and $\Theta$-positivity and its relation to Higher Teichm\"uller Theory. $\Theta$-positivity is a notion of positivity in semisimple Lie groups and was recently introduced by Guic
Externí odkaz:
http://arxiv.org/abs/2212.04339
De-bordering is the task of proving that a border complexity measure is bounded from below, by a non-border complexity measure. This task is at the heart of understanding the difference between Valiant's determinant vs permanent conjecture, and Mulmu
Externí odkaz:
http://arxiv.org/abs/2211.07055
Autor:
Andersen, Lars
In this article we apply the results in the article "On Isolated Real Singularities I" to the study of real $ADE$-singularities. We show that said results enables us to find the homology groups of the Milnor fibres of real $ADE$-singularities of curv
Externí odkaz:
http://arxiv.org/abs/2110.04417
Autor:
Andersen, Lars
In this article we prove two results concerning the motivic Milnor fibres $S^{\epsilon}(f)$ associated to a map germ $f: (\mathbb{R}^n,0)\to(\mathbb{R},0)$, defined by G. Comte and G. Fichou. Firstly, we prove that if $f,g:(\mathbb{R}^n,0)\to(\mathbb
Externí odkaz:
http://arxiv.org/abs/2110.04404
In arXiv:1802.02833 Guichard and Wienhard introduced the notion of $\Theta$-positivity, a generalization of Lusztig's total positivity to real Lie groups that are not necessarily split. Based on this notion, we introduce in this paper $\Theta$-positi
Externí odkaz:
http://arxiv.org/abs/2106.14584
Autor:
Ionescu, Lucian M.
We review Hodge structures, relating filtrations, Galois Theory and Jordan-Holder structures. The prototypical case of periods of Riemann surfaces is compared with the Galois-Artin framework of algebraic numbers.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2105.13115
We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of $I$-Ulrich modules.
Comment: Final Version, to appear in the Transactions of the AMS
Comment: Final Version, to appear in the Transactions of the AMS
Externí odkaz:
http://arxiv.org/abs/2101.02641
Mode surfaces are the generalization of degenerate curves and neutral surfaces, which constitute 3D symmetric tensor field topology. Efficient analysis and visualization of mode surfaces can provide additional insight into not only degenerate curves
Externí odkaz:
http://arxiv.org/abs/2009.04601
We develop algebraic methods for computations with tensor data. We give 3 applications: extracting features that are invariant under the orthogonal symmetries in each of the modes, approximation of the tensor spectral norm, and amplification of low r
Externí odkaz:
http://arxiv.org/abs/2005.12988