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Corrigendum: Strong -invariance of -connected components of reductive algebraic groups (J. Topol. 16 (2023), no. 2, 634--649.)
Chetan Balwe, Amit Hogadi, Anand Sawant
The proof of Lemma 5.1 in the paper Strong -invariance of -connected components of reductive algebraic groups (J. Topol. 16 (2023), no. 2, 634--649) is in…
Fundamental group of a geometric invariant theoretic quotient
Indranil Biswas, Amit Hogadi, A. J. Parameswaran
Let be an irreducible smooth projective variety, defined over an algebraically closed field, equipped with an action of a connected reductive affine algebraic group , and le…
Unramified Brauer group of the moduli spaces of -bundles over curves
Indranil Biswas, Amit Hogadi, Yogish I. Holla
Let be an irreducible smooth complex projective curve of genus at least two. Let be a connected component of the moduli space of semistable principal ${\rm PGL}_r({\mathbb…
Einstein-Hermitian connection on twisted Higgs bundles
Indranil Biswas, Tomas L. Gomez, Norbert Hoffmann +1
Let be a smooth projective variety over . We prove that a twisted Higgs vector bundle $(\calE\, ,θ)$ on admits an Einstein--Hermitian connection if and only if $…
On the algebraic fundamental group of smooth varieties in characteristic
Hélène Esnault, Amit Hogadi
We define an analog in characteristic of the proalgebraic completion of the topological fundamental group of a complex manifold.