Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties
DOI10.1016/j.bulsci.2019.102829zbMath1464.14052arXiv1812.07474OpenAlexW2993932565WikidataQ126636834 ScholiaQ126636834MaRDI QIDQ2305861
Ageu Barbosa Freire, Alex Massarenti, Rick Rischter
Publication date: 20 March 2020
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.07474
osculating spacessecant varietiesLagrangian Grassmanniansspinor varietiesdegenerations of rational maps
Grassmannians, Schubert varieties, flag manifolds (14M15) Rational and birational maps (14E05) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Classical problems, Schubert calculus (14N15) Exterior algebra, Grassmann algebras (15A75)
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Cites Work
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- Birational aspects of the geometry of varieties of sums of powers
- Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties
- Secants of Lagrangian Grassmannians
- Computing symmetric rank for symmetric tensors
- Spin curves and Scorza quartics
- Dual homogeneous forms and varieties of power sums
- On spinor varieties and their secants
- On the integrability of symplectic Monge-Ampère equations
- On the dimension of secant varieties
- Binomial determinants, paths, and hook length formulae
- On the projective geometry of rational homogeneous varieties
- Rational varieties satisfying one or more Laplace equations
- Projective duality and homogeneous spaces
- On higher Gauss maps
- Polar covariants of plane cubics and quartics
- Elliptic curves on spinor varieties
- A note on higher-order Gauss maps
- Generalized varieties of sums of powers
- On varieties with higher osculating defect
- Togliatti systems
- Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci
- Alcune osservazioni sulle superficie razionali che rappresentano equazioni di Laplace
- Weakly defective varieties
- Higher secants of spinor varieties
- Varieties of sums of power
- Non-secant defectivity via osculating projections
- On non-secant defectivity of Segre-Veronese varieties
- Laplace Equations and the Weak Lefschetz Property
- Integrable Equations of the Dispersionless Hirota type and Hypersurfaces in the Lagrangian Grassmannian
- Singular hypersurfaces characterizing the Lefschetz properties
- Geometry of Lagrangian Grassmannians and nonlinear PDEs
- Projective duality and non-degenerated symplectic Monge–Ampère equations