Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Shiquan Ruan"'
Publikováno v:
Journal of Algebra. 610:391-408
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::336766fe880b1dc30d5c5584cd5f2a1a
https://doi.org/10.1016/j.jalgebra.2022.07.022
https://doi.org/10.1016/j.jalgebra.2022.07.022
Publikováno v:
Bulletin of the London Mathematical Society.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6dfef0d295fbf9a5740ba6ee46769cb
https://doi.org/10.1112/blms.12845
https://doi.org/10.1112/blms.12845
Publikováno v:
Transactions of the American Mathematical Society.
Theı\imathHall algebra of the projective line is by definition the twisted semi-derived Ringel-Hall algebra of the category of11-periodic complexes of coherent sheaves on the projective line. Thisı\imathHall algebra is shown to realize the universa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7d0f15cdc4c90c339e57a3c0b65f1aa
https://doi.org/10.1090/tran/8798
https://doi.org/10.1090/tran/8798
Autor:
Shiquan Ruan
Publikováno v:
Journal of Algebra. 581:45-49
We give a short proof of Green's formula on Hall numbers. By using rotation of triangles, we find that Green's formula is just the associativity of derived Hall numbers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85e1285dfeec69f674f2a6d754109089
https://doi.org/10.1016/j.jalgebra.2021.04.010
https://doi.org/10.1016/j.jalgebra.2021.04.010
This present paper is devoted to the study of a class of Nakayama algebras $N_n(r)$ given by the path algebra of the equioriented quiver $\mathbb{A}_n$ subject to the nilpotency degree $r$ for each sequence of $r$ consecutive arrows. We show that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9fe97b7a806092b8fbce5a79e6d06d1
http://arxiv.org/abs/2112.15587
http://arxiv.org/abs/2112.15587
We investigate group actions on the category of coherent sheaves over weighted projective lines. We show that the equivariant category with respect to certain finite group action is equivalent to the category of coherent sheaves over a weighted proje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e659b825c5874bcba0a16c9fceacd8e3
http://arxiv.org/abs/2104.09086
http://arxiv.org/abs/2104.09086
Autor:
Shiquan Ruan
In this paper, we construct recollements and ladders for exceptional curves by using reduction/insertion functors due to $p$-cycle construction. As applications to weighted projective lines, we classify recollements for the category of coherent sheav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b5653200eff138595c71a3e17edc45a
https://doi.org/10.1016/j.jalgebra.2021.02.032
https://doi.org/10.1016/j.jalgebra.2021.02.032
The string group acts on the category of coherent sheaves over a weighted projective line by degree-shift actions. We study the equivariant equivalence relations induced by degree-shift actions between weighted projective lines. We prove that such an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eee2ec4aef9ff00395bb7c9130c607cf
Publikováno v:
Acta Mathematica Sinica, English Series. 35:494-512
The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this category and use them to construct tilting objects with tubular endomorphism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::968f1640f23b8fd44a8831c1be4ce225
https://doi.org/10.1007/s10114-018-8187-2
https://doi.org/10.1007/s10114-018-8187-2
Publikováno v:
International Mathematics Research Notices. 2020:5814-5871
Let $\rm{coh}\mathbb{X}$ be the category of coherent sheaves over a weighted projective line $\mathbb{X}$ and let $D^b(\rm{coh}\mathbb{X})$ be its bounded derived category. The present paper focuses on the study of the right and left mutation functor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b7310ba74574adc6e746ac159384ed9
https://doi.org/10.1093/imrn/rny175
https://doi.org/10.1093/imrn/rny175