Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Henrik Seppänen"'
Publikováno v:
Mathematische Zeitschrift. 300:1203-1240
We prove that on a Bott–Samelson variety X every movable divisor is nef. This enables us to consider Zariski decompositions of effective divisors, which in turn yields a description of the Mori chamber decomposition of the effective cone. This amou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::205a112ddb44e927d9b22f717fc70ffc
https://doi.org/10.1007/s00209-021-02812-9
https://doi.org/10.1007/s00209-021-02812-9
Autor:
David Schmitz, Henrik Seppänen
Publikováno v:
Journal of Algebra. 490:518-554
We use the theory of Mori dream spaces to prove that the global Okounkov body of a Bott–Samelson variety with respect to a natural flag of subvarieties is rational polyhedral. As a corollary, Okounkov bodies of effective line bundles over Schubert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6e5b124c33bf4c84b89c5a03b777b8e
https://doi.org/10.1016/j.jalgebra.2017.07.018
https://doi.org/10.1016/j.jalgebra.2017.07.018
Autor:
David Schmitz, Henrik Seppänen
Publikováno v:
Advances in Geometry. 16:83-91
We prove that the existence of a finite Minkowski basis for Okounkov bodies on a smooth projective variety with respect to an admissible flag implies the rational polyhedrality of the global Okounkov body. As an application of this general result, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79f2d158af93e6fc09fb4bc5abb0c05a
https://doi.org/10.1515/advgeom-2015-0042
https://doi.org/10.1515/advgeom-2015-0042
Autor:
Marcel Maslovarić, Henrik Seppänen
We generalize the notion of multi-Gieseker semistability for coherent sheaves, introduced by Greb, Ross, and Toma, to quiver sheaves for a quiver $Q$. We construct coarse moduli spaces for semistable quiver sheaves using a functorial method that real
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86c0d43f71f6fbabc25fb82b55d744dc
Autor:
Henrik Seppänen, Valdemar V. Tsanov
We consider the action of a semisimple subgroup $\hat G$ of a semisimple complex group $G$ on the flag variety $X=G/B$, and the linearizations of this action by line bundles $\mathcal L$ on $X$. The main result is an explicit description of the assoc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::151d2def2f92e75c41f2881a0a310587
Autor:
Håkan Samuelsson, Henrik Seppänen
Publikováno v:
Mathematische Zeitschrift. 272:1087-1095
We construct Koppelman formulas on manifolds of flags in for forms with values in any holomorphic line bundle as well as in the tautological vector bundles and their duals. As an application we obtain new explicit proofs of some vanishing theorems of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0873f0f730b40f6c0327568ebd8cdf34
https://doi.org/10.1007/s00209-011-0976-6
https://doi.org/10.1007/s00209-011-0976-6
Autor:
Stéphane Merigon, Henrik Seppänen
Publikováno v:
Journal of Functional Analysis. 258(10):3241-3265
We consider the (projective) representations of the group of holomorphic automorphisms of a symmetric tube domain $V\oplus i\Omega$ that are obtained by analytic continuation of the holomorphic discrete series. For a representation corresponding to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bcbff38f990c40865b3c66188a613ea
Publikováno v:
International Mathematics Research Notices. 2010:783-823
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::458ca4e01ff259d0ea980e48894f0516
https://doi.org/10.1093/imrn/rnp146
https://doi.org/10.1093/imrn/rnp146
Okounkov bodies for ample line bundles with applications to multiplicities for group representations
Autor:
Henrik Seppänen
Let $\mathscr{L} \rightarrow X$ be an ample line bundle over a complex normal projective variety $X$. We construct a flag $X_0 \subseteq X_1 \subseteq \cdots \subseteq X_n=X$ of subvarieties for which the associated Okounkov body for $\mathscr{L}$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b159c61c24c9c7d9a05b19c65e6a5393