F. Malaspina

activity

20062026

most citedSurfaces of minimal degree of tame representation type and mutations of Cohen-Macaulay modules

28 citations · 83 across the 41 of their papers we have counts for

collaborators

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46 papers · 1 filter

math.AG2026

Ulrich bundles on smooth toric threefolds with Picard number $2$

Debojyoti Bhattacharya, Francesco Malaspina

In this paper, we study Ulrich bundles on smooth toric threefolds with Picard number $2$ , namely $P (O_{P^{2}} (a_{0}) \oplus O_{P^{2}} (a_{1}))$ …

math.AG2025

Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria

F. Malaspina, G. Sankaran

We introduce and study a notion of Castelnuovo-Mumford regularity suitable for scrolls obtained as projectivisations of sums of line bundles on $P^{m}$ . We show that this is…

math.AG2024

On Primitive Ulrich Bundles over a few projective varieties with Picard number two

Francesco Malaspina

We introduce the notion of primitive Ulrich bundle in a smooth projective variety. We motivate this notion and give a cohomological characterization in the case of the degree $6$ f…

math.AG2023

Castelnuovo-Mumford Regularity and Splitting Criteria for Logarithmic Bundles over Rational Normal Scroll Surfaces

Roberta Di Gennaro, Francesco Malaspina

We introduce and study a notion of Castelnuovo-Mumford regularity suitable for rational normal scroll surfaces. In this setting we prove analogs of some classical properties. We pr…

math.AG2023

't Hooft bundles on the complete flag threefold and moduli spaces of instantons

Vincenzo Antonelli, Francesco Malaspina, Simone Marchesi +1

In this work we study the moduli spaces of instanton bundles on the flag twistor space $F := F (0, 1, 2)$ . We stratify them in terms of the minimal twist supporting global sections and…

math.AG2023

Ulrich bundles of arbitrary rank on Segre-Veronese varieties

Francesco Malaspina

We generalize the results by Eisenbud and Schreyer about Ulrich bundles over Veronese varieties to Segre-Veronese varieties. We discuss the range where we have natural cohomology a…

math.AG2022

Rank two bundles on P^n with isolated cohomology

F. Malaspina, A. P. Rao

The purpose of this paper is to study minimal monads associated to a rank two vector bundle $E$ on $P^{n}$ . In particular, we study situations where $E$ has…

math.AG2020

H-instanton bundles on three-dimensional polarized projective varieties

Vincenzo Antonelli, Francesco Malaspina

We propose a notion of instanton bundle (called $H$ -instanton bundle) on any projective variety of dimension three polarized by a very ample divisor $H$ , that naturally generalizes…

math.AG2019

Instanton bundles on the Segre threefold with Picard number three

Vincenzo Antonelli, Francesco Malaspina

We study instanton bundles $E$ on $P^{1} \times P^{1} \times P^{1}$ . We construct two different monads which are the analog of the monads for instanton bundles…

math.AG2019★ 11 cited

Instanton bundles on the blow up of the projective $3$ -space at a point

Gianfranco Casnati, Emre Coskun, Ozhan Genc +1

We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on $P^{3}$ and on Fano threefold…

math.AG2019★ 2 cited

Non-Ulrich representation type

Daniele Faenzi, Francesco Malaspina, Giangiacomo Sanna

We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of P^N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type by removing Ulr…

math.AG2018

Cohomological Property of Vector Bundles on Biprojective Spaces

Francesco Malaspina, Chikashi Miyazaki

This paper investigates the cohomological property of vector bundles on biprojective space. We will give a criterion for a vector bundle to be isomorphic to the tensor product of p…

math.AG2017

Instanton bundles on the flag variety F(0,1,2)

Francesco Malaspina, Simone Marchesi, Joan Pons-Llopis

Instanton bundles on $P^{3}$ have been at the core of the research in Algebraic Geometry during the last thirty years. Motivated by the recent extension of their definition…

math.AG2017

Ulrich bundles on smooth projective varieties of minimal degree

Marian Aprodu, Sukmoon Huh, Francesco Malaspina +1

We classify the Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differen…

math.AG2016

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

F. Malaspina, G. K. Sankaran

Weighted Castelnuovo-Mumford Regularity and Weighted Global GenerationWe introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective spaces.

math.AG2016

ACM sheaves on the double plane

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina +1

The goal of this paper is to start a study of aCM and Ulrich sheaves on non-integral projective varieties. We show that any aCM vector bundle of rank two on the double plane is a d…

math.AG2015

Rank two aCM bundles on the del Pezzo threefold of degree $7$

Gianfranco Casnati, Matej Filip, Francesco Malaspina

We classify indecomposable aCM bundles of rank $2$ on the del Pezzo threefold of degree $7$ and analyze the corresponding moduli spaces.

math.AG2015

Rank two aCM bundles on the del Pezzo fourfold of degree $6$ and its general hyperplane section

Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina

In the present paper we completely classify locally free sheaves of rank $2$ with vanishing intermediate cohomology modules on the image of the Segre embedding $\mathbb{P}^2\times\…

math.AG2015★ 1 cited

Globally generated vector bundles on $P^{1} \times P^{1} \times P^{1}$ with low first Chern classes

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We classify globally generated vector bundles on $P^{1} \times P^{1} \times P^{1}$ with small first Chern class, i.e. $c_{1} = (a_{1}, a_{2}, a_{3})$ , $a_{i} \leq 2$ . Our…

math.AG2015★ 2 cited

Globally generated vector bundles on the Segre threefold with Picard number two

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We classify globally generated vector bundles on $P^{1} \times P^{2}$ with small first Chern class, i.e. $c_{1} = (a, b)$ , $a + b \leq 3$ . Our main method is to investigate…

math.AG2014

Globally generated vector bundles on complete intersection Calabi-Yau threefolds

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We investigate the globally generated vector bundles on complete intersection Calabi-Yau threefolds with the first Chern class at most 2. We classify all the globally generated vec…

math.AG2014★ 28 cited

Surfaces of minimal degree of tame representation type and mutations of Cohen-Macaulay modules

Daniele Faenzi, Francesco Malaspina

We provide two examples of smooth projective surfaces of tame CM type, by showing that any parameter space of isomorphism classes of indecomposable ACM bundles with fixed rank and…

math.AG2014★ 3 cited

Horrocks Correspondence on ACM Varieties

F. Malaspina, A. P. Rao

We describe a vector bundle $\sE$ on a smooth $n$ -dimensional ACM variety in terms of its cohomological invariants $H^i_*(\sE)$, $1 \leq i \leq n - 1$ , and certain graded modules of "…

math.AG2014

Moduli spaces of rank two aCM bundles on the Segre product of three projective lines

Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina

Let P^n be the projective space of dimension n on an algebraically closed field of characteristic 0 and F be the image of the Segre embedding of P^1xP^1xP^1 inside P^7. In the pres…

Ulrich bundles on smooth toric threefolds with Picard number 2

Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria

On Primitive Ulrich Bundles over a few projective varieties with Picard number two

Castelnuovo-Mumford Regularity and Splitting Criteria for Logarithmic Bundles over Rational Normal Scroll Surfaces

't Hooft bundles on the complete flag threefold and moduli spaces of instantons

Ulrich bundles of arbitrary rank on Segre-Veronese varieties

Rank two bundles on P^n with isolated cohomology

H-instanton bundles on three-dimensional polarized projective varieties

Instanton bundles on the Segre threefold with Picard number three

Instanton bundles on the blow up of the projective 3-space at a point

Non-Ulrich representation type

Cohomological Property of Vector Bundles on Biprojective Spaces

Instanton bundles on the flag variety F(0,1,2)

Ulrich bundles on smooth projective varieties of minimal degree

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

ACM sheaves on the double plane

Rank two aCM bundles on the del Pezzo threefold of degree 7

Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section

Globally generated vector bundles on P1×P1×P1 with low first Chern classes

Globally generated vector bundles on the Segre threefold with Picard number two

Globally generated vector bundles on complete intersection Calabi-Yau threefolds

Surfaces of minimal degree of tame representation type and mutations of Cohen-Macaulay modules

Horrocks Correspondence on ACM Varieties

Moduli spaces of rank two aCM bundles on the Segre product of three projective lines

Ulrich bundles on smooth toric threefolds with Picard number $2$

Instanton bundles on the blow up of the projective $3$ -space at a point

Rank two aCM bundles on the del Pezzo threefold of degree $7$

Rank two aCM bundles on the del Pezzo fourfold of degree $6$ and its general hyperplane section

Globally generated vector bundles on $P^{1} \times P^{1} \times P^{1}$ with low first Chern classes