Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Misra, Snehajit"'
Autor:
Misra, Snehajit, Ray, Nabanita
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 6, Pp 763-772 (2021)
In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety $X$. As an application, we show ampleness of some special vector bundles on certain ru
Externí odkaz:
https://doaj.org/article/af41fe469ffa43738a7d0d0c9e64d827
Autor:
Misra, Snehajit, Ray, Nabanita
In the first part of this article, we give bounds on self-intersections $C^2$ of integral curves $C$ on blow-ups $Bl_nX$ of surfaces $X$ with the anti-cannonical divisor $-K_X$ effective. In the last part, we prove the weak bounded negativity for sel
Externí odkaz:
http://arxiv.org/abs/2408.15187
Autor:
Misra, Snehajit, Ray, Nabanita
In this article, we investigate the stability of syzygy bundles corresponding to ample and globally generated vector bundles on smooth irreducible projective surfaces.
Externí odkaz:
http://arxiv.org/abs/2405.17006
Autor:
Misra, Snehajit
In this article, we investigate Serrano's conjecture for strictly nef divisors on projective bundles over higher dimensional smooth projective varieties.
Externí odkaz:
http://arxiv.org/abs/2405.05582
We study Seshadri constants of certain ample vector bundles on projective varieties. Our main motivation is the following question: Under what conditions are the Seshadri constants of ample vector bundles at least 1 at all points of the variety. We e
Externí odkaz:
http://arxiv.org/abs/2303.15808
Autor:
Misra, Snehajit, Ray, Nabanita
Let $E$ be a vector bundle of rank $r$ on a smooth complex projective variety $X$. In this article, we compute the nef and pseudoeffective cones of divisors in the Grassmann bundle $Gr_X(k,E)$ parametrizing $k$-dimensional subspaces of the fibers of
Externí odkaz:
http://arxiv.org/abs/2205.11289
Autor:
Misra, Snehajit, Singh, Anoop
In this article, we compute the pseudo-effective cones of various projective bundles $\mathbb{P}_X(E)$ over higher dimensional varieties $X$ under some assumptions on $X$ as well as on the vector bundle $E$. We also compute the volume function on fib
Externí odkaz:
http://arxiv.org/abs/2203.07007
Let $X$ be a complex projective variety, and let $E_{\ast}$ be a parabolic vector bundle on $X$. We introduce the notion of \textit{parabolic Seshadri constants} of $E_{\ast}$. It is shown that these constants are analogous to the classical Seshadri
Externí odkaz:
http://arxiv.org/abs/2203.04533
Autor:
Das, Soumyadip, Misra, Snehajit
In this article, we study the behavior of the stability of pullback of a vector bundle under a finite morphism from a (not necessarily smooth) stacky curve to an orbifold curve. We establish a categorical equivalence between proper formal orbifold cu
Externí odkaz:
http://arxiv.org/abs/2111.15652
Autor:
Misra, Snehajit, Singh, Anoop
We investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative logarithmic connection on a holomorphic vector bundle singular over a re
Externí odkaz:
http://arxiv.org/abs/2108.06321