Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Valery A. Lunts"'
Autor:
Valery A. Lunts
Publikováno v:
Moscow Mathematical Journal. 22:705-739
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a89f9038dea11e09cfc083845c5fc6be
https://doi.org/10.17323/1609-4514-2022-22-4-705-739
https://doi.org/10.17323/1609-4514-2022-22-4-705-739
Autor:
Michael Larsen, Valery A. Lunts
Publikováno v:
Algebra & Number Theory. 15:773-783
Given a finite dimensional Lie algebra $L$ let $I$ be the augmentation ideal in the universal enveloping algebra $U(L)$. We study the conditions on $L$ under which the $Ext$-groups $Ext (k,k)$ for the trivial $L$-module $k$ are the same when computed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db5ffb028e6d08f805a6f7568244e698
https://doi.org/10.2140/ant.2021.15.773
https://doi.org/10.2140/ant.2021.15.773
Autor:
Alexey Elagin, Valery A. Lunts
Publikováno v:
Journal of Algebra. 569:334-376
In this note we discuss three notions of dimension for triangulated categories: Rouquier dimension, diagonal dimension and Serre dimension. We prove some basic properties of these dimensions, compare them and discuss open problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd2d2087db5d5e8a2d8a4bdc301aa36c
https://doi.org/10.1016/j.jalgebra.2020.10.027
https://doi.org/10.1016/j.jalgebra.2020.10.027
Publikováno v:
Moscow Mathematical Journal. 20:277-309
We prove smoothness in the dg sense of the bounded derived category of finitely generated modules over any finite-dimensional algebra over a perfect field, hereby answering a question of Iyama. More generally, we prove this statement for any algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1822a23ebe114d3bc7b007bf874395fa
https://doi.org/10.17323/1609-4514-2020-2-277-309
https://doi.org/10.17323/1609-4514-2020-2-277-309
Publikováno v:
Bergh, D, Gorchinskiy, S, Larsen, M & Lunts, V 2021, ' Categorical measures for finite group actions ', Journal of Algebraic Geometry, vol. 30, no. 4, pp. 685-757 . https://doi.org/10.1090/jag/768
Journal of Algebraic Geometry
Journal of Algebraic Geometry
Given a variety with a finite group action, we compare its equivariant categorical measure, that is, the categorical measure of the corresponding quotient stack, and the categorical measure of the extended quotient. Using weak factorization for orbif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaeb4ffb406571081b4253b23d05c8be
https://curis.ku.dk/portal/da/publications/categorical-measures-for-finite-group-actions(15351af0-aa98-439a-8769-5113fddc3c5d).html
https://curis.ku.dk/portal/da/publications/categorical-measures-for-finite-group-actions(15351af0-aa98-439a-8769-5113fddc3c5d).html
Autor:
Valery A. Lunts, Alexey Elagin
Let $X_N$ be the second infinitesimal neighborhood of a closed point in $N$-dimensional affine space. In this note we study $D^b(coh\, X_N)$, the bounded derived category of coherent sheaves on $X_N$. We show that for $N\geq 2$ the lattice of triangu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8933eb2e8f6bab821b40949082ab66d
http://arxiv.org/abs/2002.06416
http://arxiv.org/abs/2002.06416
Autor:
Michael Larsen, Valery A. Lunts
Publikováno v:
Duke Math. J. 169, no. 1 (2020), 1-30
Let $K_0(\mathrm{Var}_{\mathbb{Q}})[1/\mathbb{L}]$ denote the Grothendieck ring of $\mathbb{Q}$-varieties with the Lefschetz class inverted. We show that there exists a K3 surface X over $\mathbb{Q}$ such that the motivic zeta function $\zeta_X(t) :=
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::394564e8f665718507c16c72c74f70da
https://doi.org/10.1215/00127094-2019-0035
https://doi.org/10.1215/00127094-2019-0035
Autor:
Valery A. Lunts, Victor Przyjalkowski
Publikováno v:
Advances in Mathematics. 329:189-216
We consider the conjectures from [10] about Landau–Ginzburg Hodge numbers associated to tamely compactifiable Landau–Ginzburg models. We test these conjectures in case of dimension two, verifying some and giving a counterexample to the other.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53f1fbf61c9c7b4235285670af805b4e
https://doi.org/10.1016/j.aim.2018.02.024
https://doi.org/10.1016/j.aim.2018.02.024
Publikováno v:
Математический сборник. 209:87-116
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8259381ead6636bfab895bab93d2e5af
https://doi.org/10.4213/sm9049
https://doi.org/10.4213/sm9049
Autor:
Valery A. Lunts, Alexey Elagin
Publikováno v:
Advances in Mathematics. 378:107525
We classify triangulated categories that are equivalent to finitely generated thick subcategories T ⊂ D b ( coh C ) for smooth projective curves C over an algebraically closed field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ecb3c45d282daebce86bc4e6bf754d9
https://doi.org/10.1016/j.aim.2020.107525
https://doi.org/10.1016/j.aim.2020.107525