Sayantan Mandal

activity

20192026

most citedNon-globally generated bundles on curves

3 citations · 3 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AG2020★ 3 cited

Non-globally generated bundles on curves

John Kopper, Sayanta Mandal

We describe the locus of stable bundles on a smooth genus $g$ curve that fail to be globally generated. For each rank $r$ and degree $d$ with $r g < d < r (2 g - 1)$ , we exhibit a component…

math.AG2019

On the loci of morphisms from $P^{1}$ to $G (r, n)$ with fixed splitting type of the restricted universal sub-bundle or quotient bundle

Sayanta Mandal

Let $n \geq 4$ , $2 \leq r \leq n - 2$ and $e \geq 1$ . We show that the intersection of the locus of degree $e$ morphisms from $P^{1}$ to $G (r, n)$ with the restricted universal…

math.AG2019

On the stabilization of the Betti numbers of the moduli space of sheaves on $P^{2}$

Sayanta Mandal

Let $r \geq 2$ be an integer, and let $a$ be an integer coprime to $r$ . We show that if $c_{2} \geq n + ⌊ \frac{r - 1}{2 r} a^{2} + \frac{1}{2} (r^{2} + 1) ⌋$ , then the…

Non-globally generated bundles on curves

On the loci of morphisms from P1 to G(r,n) with fixed splitting type of the restricted universal sub-bundle or quotient bundle

On the stabilization of the Betti numbers of the moduli space of sheaves on P2

On the loci of morphisms from $P^{1}$ to $G (r, n)$ with fixed splitting type of the restricted universal sub-bundle or quotient bundle

On the stabilization of the Betti numbers of the moduli space of sheaves on $P^{2}$