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20212026
most citedIdentifiability and singular locus of secant varieties to Grassmannians

9 citations · 11 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2026

Schubert compactifications of matrix pencils

Vincenzo Galgano, Fulvio Gesmundo, Hanieh Keneshlou

The Schubert compactification of a linear space of matrices is a natural compactification of in the Grassmannian . T…

math.AG2026

Some Classical Invariants, from Harmonic Quadruples to Triangle Groups

Giorgio Ottaviani, Vincenzo Galgano

These notes are an expanded version of the lectures held in Tromso, in May 2025 at the "Lie-Stormer Summer School : Invariant Theory from classics to modern developments", in the f…

math.AG2026

On the Coupled Cluster Doubles Truncation Variety of Four Electrons

Fabian M. Faulstich, Vincenzo Galgano, Elke Neuhaus +1

We extend recent algebro-geometric results for coupled cluster theory of quantum many-body systems to the truncation varieties arising from the doubles approximation (CCD), focusin…

math.AT2025

Discrete signature tensors for persistence landscapes

Vincenzo Galgano, Heather A. Harrington, Daniel Tolosa

Signature tensors of paths are a versatile tool for mathematical data analysis. Recently, they have been applied in the context of vectorisation of persistent homology: after a cho…

math.AG2024

Secant varieties of generalised Grassmannians

Vincenzo Galgano

Secant varieties of a homogeneously embedded generalised Grassmannian inherit the natural group action, and one can reduce the study of their local geometric properties to $G…

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 . 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 -structure of the secant variety of lines to a Spinor variety 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…

quant-ph2021

Graph States and the Variety of Principal Minors

Vincenzo Galgano, Frédéric Holweck

In Quantum Information theory, graph states are quantum states defined by graphs. In this work we exhibit a correspondence between graph states and the variety of binary symmetric…