19 citations · 36 across the 13 of their papers we have counts for
13 papers
-connected components of affine quadrics
Chetan Balwe, Nidhi Gupta
For any smooth quadratic hypersurface in , we use the iterations of the functor of naive -connected components to study the field-val…
Naive -connectedness of retract rational varieties
Chetan Balwe, Bandna Rani
A smooth, proper, retract rational variety over a field is known to be -connected. We improve on this result, in the case when is infinite, showing that such…
Strong -invariance of -connected components of reductive algebraic groups
Chetan Balwe, Amit Hogadi, Anand Sawant
We show that the sheaf of -connected components of a reductive algebraic group over a perfect field is strongly -invariant. As a consequence, torsors unde…
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…
Remarks on iterations of the -chain connected components construction
Chetan Balwe, Bandna Rani, Anand Sawant
We show that the sheaf of -connected components of a Nisnevich sheaf of sets and its universal -invariant quotient (obtained by iterating the $\mathbb A^1…
Geometric criteria for -connectedness and applications to norm varieties
Chetan Balwe, Amit Hogadi, Anand Sawant
We show that -connectedness of a large class of varieties over a field can be characterized as the condition that their generic point can be connected to a -rat…
Naive -homotopies on ruled surfaces
Chetan Balwe, Anand Sawant
We explicitly describe the -chain homotopy classes of morphisms from a smooth henselian local scheme into a smooth projective surface, which is birationally ruled over…
A^1-connected components of ruled surfaces
Chetan Balwe, Anand Sawant
A conjecture of Morel asserts that the sheaf of -connected components of a space is -invariant. Using purely algebro-geometric methods, we determine the s…
A^1-connectedness in reductive algebraic groups
Chetan Balwe, Anand Sawant
Using sheaves of A^1-connected components, we prove that the Morel-Voevodsky singular construction on a reductive algebraic group fails to be A^1-local if the group does not satisf…
R-equivalence and A^1-connectedness in anisotropic groups
Chetan Balwe, Anand Sawant
We show that if G is an anisotropic, semisimple, absolutely almost simple, simply connected group over a field k, then two elements of G over any field extension of k are R-equival…
A^1-connected components of schemes
Chetan Balwe, Amit Hogadi, Anand Sawant
A conjecture of Morel asserts that the sheaf of A^1-connected components of a simplicial sheaf X is A^1-invariant. A conjecture of Asok-Morel asserts that A^1-connected components…
p-adic and motivic measure on Artin n-stacks
Chetan T. Balwe
We construct a notion of p-adic measure on Artin n-stacks which are strongly of finite type over the ring of p-adic integers. We also prove the rationality of of the Poincare serie…
Strong Non-Ultralocality of Ginsparg-Wilson Fermionic Actions
Ivan Horvath, Chetan T Balwe, Robert Mendris
It is shown that it is impossible to construct a free theory of fermions on infinite hypercubic Euclidean lattice in even number of dimensions that: (a) is ultralocal, (b) respects…