3 papers
math.AG2025
Remarks on the intersection of two quadrics
Nigel Hitchin
The article takes the formula for the integrable system defined by Beauville et al on the cotangent bundle of the intersection of two quadrics X, and interprets it in terms of rank…
math.AG2024
Spinor-valued Higgs fields
Nigel Hitchin
We investigate the geometry of holomorphic vector bundles over a Riemann surface together with a section of the endomorphism bundle tensored with -- a square root…
math.DG2024
ALE spaces and nodal curves
Nigel Hitchin
We consider the twistor theory approach to Kronheimer's ALE metrics on resolutions of the quotient of C^2 by a finite subgroup of SU(2). The circle action on the 4-manifold induces…