Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci

DOI10.1307/mmj/1123090775zbMath1084.14042arXivmath/0209169OpenAlexW2048798836MaRDI QIDQ2571465

Kristian Ranestad, Atanas Iliev

Publication date: 8 November 2005

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209169

zbMATH Keywords

vector bundles\(K3\) surfacesFano threefoldsLagrangian GrassmannianBrill-Noether loci

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

On codes over \(\mathrm{FFN}(1,q)\)-projective varieties ⋮ Küchle fivefolds of type c5 ⋮ Rank-two stable sheaves with odd determinant on Fano threefolds of genus nine ⋮ Arithmetic statistics of Prym surfaces ⋮ The moment map on the space of symplectic 3D Monge-Ampère equations ⋮ Geometry of the genus 9 Fano 4-folds ⋮ Degenerations to unobstructed Fano Stanley-Reisner schemes ⋮ THE ABELIAN FIBRATION ON THE HILBERT CUBE OF A K3 SURFACE OF GENUS 9 ⋮ Prime Fano threefolds and integrable systems ⋮ Vector bundles on Fano threefolds of genus 7 and Brill–Noether loci ⋮ Moduli spaces of rank-2 ACM bundles on prime Fano threefolds ⋮ On Lagrangian-Grassmannian codes ⋮ Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections ⋮ Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties ⋮ The geometry of gaussoids ⋮ Lagrangian Grassmannians and spinor varieties in characteristic two ⋮ Contractions of hyper-Kähler fourfolds and the Brauer group

Uses Software

• Macaulay2

Cites Work

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