# Irreducibility of Lagrangian Quot schemes over an algebraic curve

```@article{Cheong2021IrreducibilityOL,
title={Irreducibility of Lagrangian Quot schemes over an algebraic curve},
author={Daewoong Cheong and Insong Choe and George H. Hitching},
journal={Mathematische Zeitschrift},
year={2021}
}```
• Published 30 March 2018
• Mathematics
• Mathematische Zeitschrift
<jats:p>Let <jats:italic>C</jats:italic> be a complex projective smooth curve and <jats:italic>W</jats:italic> a symplectic vector bundle of rank 2<jats:italic>n</jats:italic> over <jats:italic>C</jats:italic>. The Lagrangian Quot scheme <jats:inline-formula><jats:alternatives><jats:tex-math>\$\$LQ_{-e}(W)\$\$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>L</mml:mi> <mml:msub> <mml… Expand
3 Citations
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• Mathematics
• 2020
We study the isotropic Quot schemes \$IQ_e (V)\$ parameterizing degree \$e\$ isotropic subsheaves of maximal rank of an orthogonal bundle \$V\$ over a curve. The scheme \$IQ_e (V)\$ contains aExpand
Counting maximal Lagrangian subbundles over an algebraic curve
• Mathematics
• 2019
Let \$C\$ be a smooth projective curve and \$W\$ a symplectic bundle over \$C\$. Let \$LQ_e (W)\$ be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves \$E \subset W\$ of degree \$e\$. We give aExpand
The virtual intersection theory of isotropic Quot Schemes
Isotropic Quot schemes parameterize rank r isotropic subsheaves of a vector bundle equipped with symplectic or symmetric quadratic form. We define a virtual fundamental class for isotropic QuotExpand

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Let \$C\$ be a smooth projective curve and \$W\$ a symplectic bundle over \$C\$. Let \$LQ_e (W)\$ be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves \$E \subset W\$ of degree \$e\$. We give aExpand
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