Work

Identifiability and singular locus of secant varieties to Spinor varieties

Year: 2025

Type: article

Abstract: In this work, we analyze the [Formula: see text]-structure of the secant variety of lines [Formula: see text] to a Spinor variety [Formula: see text] minimally embedded in its spin representation. In particular, we determine the poset of the [Formula: see text]-orbits and their dimensions. We use it for solving the problems of identifiability and tangential-identifiability in [Formula: see text], and for determining the second Terracini locus of [Formula: see text]. Finally, we show that the singular locus [Formula: see text] contains the two [Formula: see text]-orbits of lowest dimensions and it lies in the tangential variety [Formula: see text]: we also conjecture what it set-theoretically is.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199725500890

Author: Vincenzo Galgano

Institutions: University of Trento, Max Planck Institute of Molecular Cell Biology and Genetics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W4415059718

FWCI: 1.762

Cites: 35

Cited by: 1

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