Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Prakash Belkale"'
Autor:
Najmuddin Fakhruddin, Prakash Belkale
Publikováno v:
Canadian Mathematical Bulletin. 63:423-433
For $G$ a split semi-simple group scheme and $P$ a principal $G$-bundle on a relative curve $X\rightarrow S$, we study a natural obstruction for the triviality of $P$ on the complement of a relatively ample Cartier divisor $D\subset X$. We show, by c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac6cdfc64af0d4e4cb92ab37539d2272
https://doi.org/10.4153/s0008439519000523
https://doi.org/10.4153/s0008439519000523
Autor:
Angela Gibney, Prakash Belkale
Publikováno v:
International Mathematics Research Notices. 2021:855-884
Basepoint free cycles on the moduli space $\overline{\operatorname{M}}_{0,n}$ of stable $n$-pointed rational curves, defined using Gromov–Witten invariants of smooth projective homogeneous spaces are introduced and studied. Intersection formulas to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6e7d1e8a07f2a4004cdb40c4e95c45a
https://doi.org/10.1093/imrn/rnz184
https://doi.org/10.1093/imrn/rnz184
Autor:
Prakash Belkale, Angela Gibney
Publikováno v:
Transactions of the American Mathematical Society. 371:7199-7242
For $C$ a stable curve of arithmetic genus $g\ge 2$, and $\mathcal{D}$ the determinant of cohomology line bundle on $\operatorname{Bun}_{\operatorname{SL}(r)}(C)$, we show the section ring for the pair $(\operatorname{Bun}_{\operatorname{SL}(r)}(C),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::809e74754d5a53bf7518dfbb52e67d1b
https://doi.org/10.1090/tran/7564
https://doi.org/10.1090/tran/7564
Publikováno v:
Mathematische Zeitschrift. 284:961-987
By way of intersection theory on \(\overline{\mathcal {M}}_{g,n}\), we show that geometric interpretations for conformal blocks, as sections of ample line bundles over projective varieties, do not have to hold at points on the boundary. We show such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8732c60dae9364c7d2b5e4b256ccbc57
https://doi.org/10.1007/s00209-016-1682-1
https://doi.org/10.1007/s00209-016-1682-1
Autor:
Prakash Belkale, Joshua Kiers
The Hermitian eigenvalue problem asks for the possible eigenvalues of a sum of Hermitian matrices given the eigenvalues of the summands. This is a problem about the Lie algebra of the maximal compact subgroup of $G=\operatorname{SL}(n)$ . There is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68e31dbe28a3a305acc136075bab374a
http://arxiv.org/abs/1803.03350
http://arxiv.org/abs/1803.03350
Publikováno v:
Transformation Groups. 21:329-353
We introduce and study the problem of finding necessary and sufficient conditions under which a conformal blocks divisor on $$ {\overline{\mathrm{M}}}_{0,n} $$ is nonzero, solving the problem completely for $$ \mathfrak{s}{\mathfrak{l}}_2 $$ . We giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3140f12f33b31da598c9d0e592c8e478
https://doi.org/10.1007/s00031-015-9357-2
https://doi.org/10.1007/s00031-015-9357-2
Publikováno v:
Algebraic Geometry. 2:62-90
Conformal block divisors in type A on $\bar{M}_{0,{n}}$ are shown to satisfy new symmetries when levels and ranks are interchanged in non-standard ways. A connection with the quantum cohomology of Grassmannians reveals that these divisors vanish abov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::357ed004e78e45695ca3c0385dda25c9
https://doi.org/10.14231/ag-2015-004
https://doi.org/10.14231/ag-2015-004
Autor:
Prakash Belkale
The Hermitian eigenvalue problem asks for the possible eigenvalues of a sum of $n\times n$ Hermitian matrices, given the eigenvalues of the summands. The regular faces of the cones $\Gamma_n(s)$ controlling this problem have been characterized in ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc17185c53f9928124aa4f86ac8c3a9a
http://arxiv.org/abs/1705.10580
http://arxiv.org/abs/1705.10580
Publikováno v:
Michigan Math. J. 68, iss. 4 (2019), 801-829
In the first part of this paper, we consider, in the context of an arbitrary hyperplane arrangement, the map between compactly supported cohomology to the usual cohomology of a local system. A formula (i.e., an explicit algebraic de Rham representati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4d57557eda9df4ebb783d5e653b1de8
Autor:
Prakash Belkale
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 98:367-389
We prove that the vector bundles of conformal blocks, on suitable moduli spaces of genus zero curves with marked points, for arbitrary simple Lie algebras and arbitrary integral levels, carry unitary metrics of geometric origin which are preserved by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec8d9540928923ddd0bb184f9086c89e
https://doi.org/10.1016/j.matpur.2012.02.008
https://doi.org/10.1016/j.matpur.2012.02.008