Z. Ran

activity

19922023

most citedUnobstructedness of filling secants and the Gruson-Peskine general projection theorem

11 citations · 94 across the 59 of their papers we have counts for

collaborators

60 papers

math.AG2023

Polarized interpolation and normal postulation for curves on Fano hypersurfaces

Ziv Ran

A general hypersurface $X$ of degree $\leq n$ in projective space contains curves $C$ of any genus $g \geq 0$ and sufficiently large degree depnding on $g$ whose normal and conormal…

math.AG2022

Holonomy and bundle stability for curves on Fano hypersurfaces

Ziv Ran

For every $n \geq 3, g \geq 1$ and all large enough $e$ depending on $n, g$ , there exist curves of genus $g$ , degree $e$ in a general hypersurface of degree $n$ in $P^{n}$ , or i…

math.AG2022

Rigid and stably balanced curves on Calabi-Yau and general-type hypersurfaces

Ziv Ran

A curve $C$ on a variety $X$ is stably balanced if the slopes of the Harder-Narasimhan filtration of its normal bundle $N$ are contained in an interval of length 1. For each $d\geq…

math.AG2022

Regular and rigid curves on some Calabi-Yau and general-type complete intersections

Ziv Ran

Let $X$ be either a general hypersurface of degree $n + 1$ in $P^{n}$ or a general $(2, n)$ complete intersection in $P^{n + 1}, n \geq 4$ . We construct balanced rational c…

math.AG2022

On the size and local equations of fibres of general projections

Ziv Ran

For a general birational projection of a smooth nondegenerate projective $n$ -fold from $P^{n + c}$ to $P^{m}$ , $n < m \leq (n + c) /2$ , all fibres have total length asymptotic…

math.AG2022

Interpolation of curves on Fano hypersurfaces

Ziv Ran

On a general hypersurface of degree $d \leq n$ in $P^{n}$ or $P^{n}$ itself, we prove the existence of curves of any genus and high enough degree depending on the genus…