Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Giovanni Cerulli Irelli"'
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 43, Iss 1-2, Pp 133-149 (2022)
We consider a symmetric quiver with relations. Its (symmetric) representations of a fixed symmetric dimension vector are encoded in the (symmetric) representation varieties. The orbits by a (symmetric) base change group action are the isomorphism c
Externí odkaz:
https://doaj.org/article/143d30e722c64ad183fc0e00459a545e
Autor:
Giovanni Cerulli Irelli
Publikováno v:
Representation Theory and Beyond. :57-89
This paper contains the material discussed in the series of three lectures that I gave during the workshop of the ICRA 2018 in Prague. I will introduce the reader to some of the techniques used in the study of the geometry of quiver Grassmannians. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4546de180b62a9861fa7fc6295cfb5dd
https://doi.org/10.1090/conm/758/15232
https://doi.org/10.1090/conm/758/15232
We continue, generalize and expand our study of linear degenerations of flag varieties from [G. Cerulli Irelli, X. Fang, E. Feigin, G. Fourier, M. Reineke, Math. Z. 287 (2017), no. 1-2, 615-654]. We realize partial flag varieties as quiver Grassmanni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e50b64aecf7601e00de52c7738028b8c
Publikováno v:
Advances in Mathematics. 379:107544
We show that the cohomology ring of a quiver Grassmannian asssociated with a rigid quiver representation has property (S): there is no odd cohomology and the cycle map is an isomorphism; moreover, its Chow ring admits explicit generators defined over
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fe4c04a063dc35023ac084c936084ae
https://doi.org/10.1016/j.aim.2020.107544
https://doi.org/10.1016/j.aim.2020.107544
We consider the PBW filtrations over the integers of the irreducible highest weight modules in type A and C. We show that the associated graded modules can be realized as Demazure modules for group schemes of the same type and doubled rank. We deduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::794d7e559924ff1f2997c489bb0a6d30
http://hdl.handle.net/11573/963772
http://hdl.handle.net/11573/963772
Publikováno v:
Compositio Mathematica. 148:1833-1866
To each tagged triangulation of a surface with marked points and non-empty boundary we associate a quiver with potential, in such a way that whenever we apply a flip to a tagged triangulation, the Jacobian algebra of the QP associated to the resultin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9e61bfdc6627f8af0175d91c5c3823
https://doi.org/10.1112/s0010437x12000528
https://doi.org/10.1112/s0010437x12000528
Publikováno v:
Journal of Algebraic Combinatorics. 38:159-189
We study geometric and combinatorial properties of the degenerate flag varieties of type A. These varieties are acted upon by the automorphism group of a certain representation of a type A quiver, containing a maximal torus T. Using the group action,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a57a5d025e045cde70d846a31e09ac1
https://doi.org/10.1007/s10801-012-0397-6
https://doi.org/10.1007/s10801-012-0397-6
Autor:
Giovanni Cerulli Irelli
Publikováno v:
Algebras and Representation Theory. 15:977-1021
In this paper we study cluster algebras \(\mathcal{A}\) of type \(A_2^{(1)}\). We solve the recurrence relations among the cluster variables (which form a T-system of type \(A_2^{(1)}\)). We solve the recurrence relations among the coefficients of \(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64474bf4714e8cbc7ffe392539d12d34
https://doi.org/10.1007/s10468-011-9275-5
https://doi.org/10.1007/s10468-011-9275-5
Quiver Grassmannians are projective varieties parametrizing subrepresentations of given dimension in a quiver representation. We define a class of quiver Grassmannians generalizing those which realize degenerate flag varieties. We show that each irre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70d08de152828c61f959c887856a6b0c
In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians. In the present paper we prove that th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cd4381579f472b4e6c0d60b3912ece2