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-connectedness of moduli of semistable bundles and symplectic bundles on a curve
Umesh V Dubey, Rakesh Pawar
In this note, we show that over a geometrically irreducible smooth projective curve over an infinite field , the moduli stack of semistable vector bundles of fixed determinant i…
-connectedness of moduli of vector bundles on a stacky curve
Sujoy Chakraborty, Saurav Holme Choudhury, Rakesh Pawar
Let be a projective stacky curve over an infinite field with the coarse space , a geometrically connected smooth projective curve, together with a generating…
Milnor-Witt cycle modules over an excellent DVR
Chetan Balwe, Amit Hogadi, Rakesh Pawar
The definition of Milnor-Witt cycle modules in [Feld, N., Milnor-Witt cycle modules, Journal of Pure and Applied Algebra 224 (2020) 106298] can easily be adapted over general regul…
-connected components of blow-up of threefolds fibered over a surface
Rakesh Pawar
Over a perfect field, we determine the sheaf of -connected components of a class of threefolds given by the Blow-up of a variety admitting a -fibration…
Action of Correspondences on Filtrations on Cohomology and 0-cycles of Abelian Varieties
Rakesh Pawar
We prove that, given a symmetrically distinguished correspondence of a suitable complex abelian variety (which include any abelian variety of dimension atmost 5, powers of complex…