Výsledky vyhledávání - "Plücker embedding"

Nontrivial linear projections on the Grassmannian Gr3(C6)

Autor: George Petroulakis, Yanhe Huang, Frank Sottile, Igor Zelenko

Publikováno v: Linear Algebra and its Applications. 610:488-505

Typically, a linear projection of the Grassmannian in its Plucker embedding is generically injective, unless the image of the Grassmannian is a linear space. A notable exception are self-adjoint linear projections, which have even degree. We consider

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0523ed9d5255e2a9f4d4d1547b31c0a
https://doi.org/10.1016/j.laa.2020.10.006

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Compactifications of conic spaces in del Pezzo 3-fold

Autor: Kiryong Chung, Sang-Bum Yoo

Publikováno v: Comptes Rendus Mathematique. 357:729-736

Let V 5 be the del Pezzo 3-fold defined by the 6-dimensional linear section of the Grassmannian variety Gr ( 2 , 5 ) under the Plucker embedding. In this paper, we present an explicit birational relation of compactifications of degree-two rational cu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a1b2e860ba597954db574c6563506eda
https://doi.org/10.1016/j.crma.2019.09.003

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Friezes satisfying higher SLk-determinants

Autor: Karin Baur, Gordana Todorov, Khrystyna Serhiyenko, Eleonore Faber, Sira Gratz

Publikováno v: Baur, K, Faber, E, Gratz, S, Serhiyenko, K & Todorov, G 2018, ' Friezes satisfying higher SL$_k$-determinants ', Alg. Number Th. https://doi.org/10.2140/ant.2021.15.29
Gratz, S H, Baur, K, Faber, E, Serhiyenko, K & Todorov, G 2021, ' Friezes satisfying higher SLk-determinants. ', Algebra and Number Theory, vol. 15, no. 1 .

In this article, we construct SL$_k$-friezes using Pl\"ucker coordinates, making use of the cluster structure on the homogeneous coordinate ring of the Grassmannian of $k$-spaces in $n$-space via the Pl\"ucker embedding. When this cluster algebra is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea2d4390144fc2a66792b153073fc576
https://eprints.whiterose.ac.uk/163712/8/ant-v15-n1-p02-s.pdf

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Geometric approach to fragile topology beyond symmetry indicators

Autor: Robert-Jan Slager, Tomáš Bzdušek, Adrien Bouhon

Publikováno v: Physical Review B. 102

We present a framework to systematically address topological phases when finer partitionings of bands are taken into account, rather than only considering the two subspaces spanned by valence and conduction bands. Focusing on $C_2\mathcal{T}$-symmetr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ba78fe96d67cd516609c9a553f835c5
https://doi.org/10.1103/physrevb.102.115135

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Cyclic Sieving and Cluster Duality of Grassmannian

Autor: Linhui Shen, Daping Weng

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications.

We introduce a decorated configuration space $\mathscr{C}\!{\rm onf}_n^\times(a)$ with a potential function $\mathcal{W}$. We prove the cluster duality conjecture of Fock-Goncharov for Grassmannians, that is, the tropicalization of $\big(\mathscr{C}\

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2890bfc3546c945a7dfe4afb110ac334
https://doi.org/10.3842/sigma.2020.067

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Measures of irrationality of the Fano surface of a cubic threefold

Autor: Frank Gounelas, Alexis Kouvidakis

Publikováno v: Transactions of the American Mathematical Society. 371:7111-7133

For $X$ a smooth cubic threefold we study the Pl\"ucker embedding of the Fano surface of lines $S$ of $X$. We prove that if $X$ is general then the minimal gonality of a covering family of curves of $S$ is four and that this happens for a unique fami

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d0211d49d0b33e4ea26e6d42ed76a0e
https://doi.org/10.1090/tran/7565

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Twists of Mukai bundles and the geometry of the level $3$ modular variety over $\overline {\mathcal {M}}_{8}$

Autor: Gregor Bruns

Publikováno v: Transactions of the American Mathematical Society. 370:8359-8376

For a curve $C$ of genus $6$ or $8$ and a torsion bundle $\eta$ of order $\ell$ we study the vanishing of the space of global sections of the twist $E_C \otimes \eta$ of the rank two Mukai bundle $E_C$ of $C$. The bundle $E_C$ was used in a well-know

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c46e542fb843160b2da3d1fb7b6a8c7
https://doi.org/10.1090/tran/7239

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The one-dimensional line scheme of a family of quadratic quantum P3s

Autor: Michaela Vancliff, Derek Tomlin

Publikováno v: Journal of Algebra. 502:588-609

The attempted classification of regular algebras of global dimension four, so-called quantum P 3 s, has been a driving force for modern research in noncommutative algebra. Inspired by the work of Artin, Tate, and Van den Bergh, geometric methods via

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c243b39131d1ac2a13315d17c27f3bd1
https://doi.org/10.1016/j.jalgebra.2018.01.035

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