Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Mukherjee, Jayan"'
Autor:
Bangere, Purnaprajna, Mukherjee, Jayan
In this article we study the extendability of a smooth projective variety by degenerating it to a ribbon. We apply the techniques to study extendability of Calabi-Yau threefolds $X_t$ that are general deformations of Calabi-Yau double covers of Fano
Externí odkaz:
http://arxiv.org/abs/2409.03960
In this article, we introduce a new approach to show the existence and smoothing of simple normal crossing varieties in a given projective space. Our approach relates the above to the existence of nowhere reduced schemes called ribbons and their smoo
Externí odkaz:
http://arxiv.org/abs/2403.04167
Let $\mathcal{E}$ be a vector bundle on a smooth projective variety $X\subseteq\mathbb{P}^N$ that is Ulrich with respect to the hyperplane section $H$. In this article, we study the Koszul property of $\mathcal{E}$, the slope-semistability of the $k$
Externí odkaz:
http://arxiv.org/abs/2202.13631
In this note, we prove that the syzygy bundle $M_L$ is cohomologically stable with respect to $L$ for any ample and globally generated line bundle $L$ on an Enriques (resp. bielliptic) surface over an algebraically closed field of characteristic $\ne
Externí odkaz:
http://arxiv.org/abs/2111.08231
Publikováno v:
European Journal of Mathematics 9, 118 (2023)
In this article, we study the existence of tautological families on a Zariski open set of the coarse moduli space parametrizing certain Galois covers over projective spaces. More specifically, let ($1$) $\mathscr{H}_{n.r.d}$ (resp. $M_{n,r,d}$) be th
Externí odkaz:
http://arxiv.org/abs/2111.06043
In this article, we study the moduli of irregular surfaces of general type with at worst canonical singularities satisfying $K_X^2 = 4p_g(X)-8$, for any even integer $p_g\geq 4$. These surfaces also have unbounded irregularity $q$. We carry out our s
Externí odkaz:
http://arxiv.org/abs/2108.05514
In this article we develop a new way of systematically constructing infinitely many families of smooth subvarieties $X$ of any given dimension $m$, $m \geq 3$, and any given codimension in $\mathbb P^N$, embedded by complete subcanonical linear serie
Externí odkaz:
http://arxiv.org/abs/2012.01682
In this article, we study K3 double structures on minimal rational surfaces $Y$. The results show there are infinitely many non-split abstract K3 double structures on $Y = \mathbb{F}_e$ parametrized by $\mathbb P^1$, countably many of which are proje
Externí odkaz:
http://arxiv.org/abs/2006.16448
We show that given an embedding of an Enriques manifold of index $d$ in a large enough projective space, there will exist embedded multiple structures with conormal bundle isomorphic to the trace zero module of the universal covering map, the univers
Externí odkaz:
http://arxiv.org/abs/2002.05846
We prove some results on effective very ampleness and projective normality for some varieties with trivial canonical bundle. In the first part we prove an effective projective normality result for an ample line bundle on regular smooth four-folds wit
Externí odkaz:
http://arxiv.org/abs/1902.00649