University of Trento

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19922026

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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148 papers · 1 filter

math.AG2025

A refinement on the local cactus rank algorithm

Alessandra Bernardi, Oriol Reig Fité

We present an algorithm to recover a minimal local apolar scheme to a homogeneous polynomial $F$ . The socle degree of the scheme determines whether it is evinced by a Generalized A…

math.AG2025★ 1 cited

Computing Path Signature Varieties in Macaulay2

Carlos Améndola, Angelo El Saliby, Felix Lotter +1

The signature of a path is a non-commutative power series whose coefficients are given by certain iterated integrals over the path coordinates. This series almost uniquely characte…

math.AG2025

Algebraic surfaces as Hadamard products of curves

Dario Antolini, Edoardo Ballico, Alessandro Oneto

We study projective surfaces in $P^{3}$ which can be written as Hadamard product of two curves. We show that quadratic surfaces which are Hadamard product of two lines are s…

math.AG2024

Bilinear secants and birational geometry of blowups of $P^{n} \times P^{n + 1}$

Elisa Postinghel, Artie Prendergast-Smith

We introduce bilinear secant varieties and joins of subvarieties of products of projective spaces, as a generalisation of the classical secant varieties and joins of projective var…

math.AG2024★ 8 cited

Non-defectivity of Segre-Veronese varieties

Hirotachi Abo, Maria Chiara Brambilla, Francesco Galuppi +1

We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a c…

math.AG2024★ 2 cited

Minimal Terracini loci in the plane: gaps and non-gaps

Edoardo Ballico, Maria Chiara Brambilla

We study minimally Terracini finite sets of points in the projective plane and we prove that the sequence of the cardinalities of minimally Terracini sets can have any number of ga…

math.AG2023★ 3 cited

Differentiable approximation of continuous definable maps that preserves the image

Antonio Carbone

Recently Pawłucki showed that compact sets that are definable in some o-minimal structure admit triangulations of class $C^{p}$ for each integer $p \geq 1$ . In this work, we…

math.AG2023★ 2 cited

Morphisms between Grassmannians, II

Gianluca Occhetta, Eugenia Tondelli

Denote by $G (k, n)$ the Grassmannian of linear subspaces of dimension $k$ in $P^{n}$ . We show that, if $φ : G (l, n) \to G (k, n)$ is a non constant morphism…

math.AG2023

Minimal Terracini loci in projective spaces

Edoardo Ballico, Maria Chiara Brambilla

We characterize the number of points for which there exist non-empty Terracini sets of points in $P^{n}$ . Then we study minimally Terracini finite sets of points in $\mathbb…

math.AG2023★ 2 cited

Surjective Nash maps between semialgebraic sets

Antonio Carbone, José F. Fernando

In this work we study the existence of surjective Nash maps between two given semialgebraic sets $S$ and $T$ . Some key ingredients are: the irreducible compon…

math.AG2023

Duality and polyhedrality of cones for Mori dream spaces

Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1

Our goal is twofold. On one hand we show that the cones of divisors ample in codimension $k$ on a Mori dream space are rational polyhedral. On the other hand we study the duality b…

math.AG2023★ 1 cited

Equivariant Euler characteristics on permutohedral varieties

Vincenzo Galgano, Hanieh Keneshlou, Mateusz Michalek

By the work of J.Huh, one can interpret binomial coefficients as a solution to an intersection problem on a permutohedral variety $X_{E}$ . Applying Hirzebruch-Riemann-Roch, this inte…

math.AG2023★ 1 cited

Identifiability and singular locus of secant varieties to spinor varieties

Vincenzo Galgano

In this work we analyze the $S p in (V)$ -structure of the secant variety of lines $σ_{2} (S)$ to a Spinor variety $S$ minimally embedded in its spin representation. I…

math.AG2022★ 9 cited

Identifiability and singular locus of secant varieties to Grassmannians

Vincenzo Galgano, Reynaldo Staffolani

Secant varieties are among the main protagonists in tensor decomposition, whose study involves both pure and applied mathematical areas. Grassmannians are the building blocks for s…

math.AG2022★ 4 cited

Maximal disjoint Schubert cycles in rational homogeneous varieties

Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde

In this paper we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related i…

math.AG2022★ 4 cited

Topological types of actions on curves

Diego Conti, Alessandro Ghigi, Roberto Pignatelli

We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface $C$ of genus at least $g \geq 2$ with…

math.AG2022★ 2 cited

Geometric realizations of birational transformations via $C^{*}$ -actions

Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1

In this paper we study varieties admitting torus actions as geometric realizations of birational transformations. We present an explicit construction of these geometric realization…

math.AG2022

Surfaces in the flag threefold containing smooth conics and twistor fibers

Amedeo Altavilla, Edoardo Ballico, Maria Chiara Brambilla

We study smooth integral curves of bidegree $(1, 1)$ , called \textit{smooth conics}, in the flag threefold $F$ . The study is motivated by the fact that the family of smooth…

math.AG2022★ 4 cited

The Linear Span of Uniform Matrix Product States

Claudia De Lazzari, Harshit J Motwani, Tim Seynnaeve

The variety of uniform matrix product states arises both in algebraic geometry as a natural generalization of the Veronese variety, and in quantum many-body physics as a model for…

math.AG2022★ 5 cited

Identifiability for mixtures of centered Gaussians and sums of powers of quadratics

Alexander Taveira Blomenhofer, Alex Casarotti, Alessandro Oneto +1

We consider the inverse problem for the polynomial map which sends an $m$ -tuple of quadratic forms in $n$ variables to the sum of their $d$ -th powers. This map captures the moment…

math.AG2021★ 3 cited

Rational homogeneous spaces as geometric realizations of birational transformations

Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1

A geometric realization of a birational map $ψ$ among two complex projective varieties is a variety $X$ endowed with a $C^{*}$ -action inducing $ψ$ as the natural birational…

math.AG2021★ 2 cited

Poisson structures on the conifold and local Calabi-Yau threefolds

Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe +1

We describe bivector fields and Poisson structures on local Calabi-Yau threefolds which are total spaces of vector bundles on a contractible rational curve. In particular, we calcu…

math.AG2021★ 15 cited

Secant non-defectivity via collisions of fat points

Francesco Galuppi, Alessandro Oneto

Secant defectivity of projective varieties is classically approached via dimensions of linear systems with multiple base points in general position. The latter can be studied via d…

math.AG2021★ 8 cited

Small modifications of Mori dream spaces arising from $C^{*}$ -actions

Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1

We link small modifications of projective varieties with a $C^{*}$ -action to their GIT quotients. Namely, using flips with centers in closures of Białynicki-Birula cells, w…

A refinement on the local cactus rank algorithm

Computing Path Signature Varieties in Macaulay2

Algebraic surfaces as Hadamard products of curves

Bilinear secants and birational geometry of blowups of Pn×Pn+1

Non-defectivity of Segre-Veronese varieties

Minimal Terracini loci in the plane: gaps and non-gaps

Differentiable approximation of continuous definable maps that preserves the image

Morphisms between Grassmannians, II

Minimal Terracini loci in projective spaces

Surjective Nash maps between semialgebraic sets

Duality and polyhedrality of cones for Mori dream spaces

Equivariant Euler characteristics on permutohedral varieties

Identifiability and singular locus of secant varieties to spinor varieties

Identifiability and singular locus of secant varieties to Grassmannians

Maximal disjoint Schubert cycles in rational homogeneous varieties

Topological types of actions on curves

Geometric realizations of birational transformations via C∗-actions

Surfaces in the flag threefold containing smooth conics and twistor fibers

The Linear Span of Uniform Matrix Product States

Identifiability for mixtures of centered Gaussians and sums of powers of quadratics

Rational homogeneous spaces as geometric realizations of birational transformations

Poisson structures on the conifold and local Calabi-Yau threefolds

Secant non-defectivity via collisions of fat points

Small modifications of Mori dream spaces arising from C∗-actions

Bilinear secants and birational geometry of blowups of $P^{n} \times P^{n + 1}$

Geometric realizations of birational transformations via $C^{*}$ -actions

Small modifications of Mori dream spaces arising from $C^{*}$ -actions