3 papers
math.AG2026
Torsion of extended Chern-Simons classes for canonical extensions of flat bundles
Jaya NN Iyer, Carlos Simpson
Let be a smooth complex projective variety and a divisor with simple normal crossings. Consider Deligne's canonical extension of a fl…
math.AG2026
Regulators of canonical extensions are torsion:the case of two transversally intersecting smooth divisors
Jaya NN Iyer, Carlos Simpson
This note extends the main result of \cite{IS} 2007 --- torsion of the extended Chern--Simons (regulator) classes of the Deligne canonical extension of a flat bundle with unipotent…
math.AG2026
Kähler thresholds
Gabriella Clemente, Carlos Simpson
The topology of Kähler manifolds is largely determined by the geometry due to its rigidity. In particular, the cohomology and Hodge theory of compact Kähler manifolds is quite re…