Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Alexander Polishchuk"'
Autor:
Alexander Polishchuk
This book discusses certain moduli problems related to A∞-structures. These structures can be viewed as a way of recording extra information on cohomology algebras. They are useful in describing derived categories appearing in geometry, and as s
Autor:
Nikita Markarian, Alexander Polishchuk
Publikováno v:
manuscripta mathematica.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae32f3bd17818a6fa89da6f9896a95e3
https://doi.org/10.1007/s00229-023-01479-2
https://doi.org/10.1007/s00229-023-01479-2
Autor:
Alexander Polishchuk
The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. The author starts by discussing the cl
Autor:
Alexander Polishchuk
Publikováno v:
International Mathematics Research Notices. 2023:2748-2802
We describe a geometric construction of all nondegenerate trigonometric solutions of the associative and classical Yang–Baxter equations. In the associative case, the solutions come from symmetric spherical orders over the irreducible nodal curve o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6241485e8039ec1b656c97174f7da04d
https://doi.org/10.1093/imrn/rnab304
https://doi.org/10.1093/imrn/rnab304
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal).
For an invertible quasihomogeneous polynomial 𝒘 {{\boldsymbol{w}}} we prove an all-genus mirror theorem relating two cohomological field theories of Landau–Ginzburg type. On the B-side it is the Saito–Givental theory for a specific choice of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::098b1b1ace87162fa3ee499d41ae733a
https://doi.org/10.1515/crelle-2022-0057
https://doi.org/10.1515/crelle-2022-0057
Autor:
Yankı Lekili, Alexander Polishchuk
Publikováno v:
Advances in Mathematics. 418:108942
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80c88a37628dc569b467a2825042845a
https://doi.org/10.1016/j.aim.2023.108942
https://doi.org/10.1016/j.aim.2023.108942
Autor:
Bumsig Kim, Alexander Polishchuk
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 21:1445-1470
We define the Atiyah class for global matrix factorisations and use it to give a formula for the categorical Chern character and the boundary-bulk map for matrix factorisations, generalising the formula in the local case obtained in [12]. Our approac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93b6fa58fcf7d14dfddc5236cdd7087f
https://doi.org/10.1017/s1474748020000614
https://doi.org/10.1017/s1474748020000614
Autor:
Drew Johnson, Alexander Polishchuk
Publikováno v:
Advances in Geometry. 21:23-43
We study birational projective models of 𝓜2,2 obtained from the moduli space of curves with nonspecial divisors. We describe geometrically which singular curves appear in these models and show that one of them is obtained by blowing down the Weier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::158b4d522f81ca44a43624590dc67ef2
https://doi.org/10.1515/advgeom-2020-0026
https://doi.org/10.1515/advgeom-2020-0026
Autor:
Alexander Polishchuk
Publikováno v:
Transactions of the American Mathematical Society. 373:6029-6093
We show that pairs ( X , Y ) (X,Y) of 1 1 -spherical objects in A ∞ A_\infty -categories, such that the morphism space Hom ( X , Y ) \operatorname {Hom}(X,Y) is concentrated in degree 0 0 , can be described by certain noncommutative orders over
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c3d086ca70467b4b569b9cfd6610dcc
https://doi.org/10.1090/tran/8140
https://doi.org/10.1090/tran/8140