12 citations · 27 across the 14 of their papers we have counts for
14 papers
Derivations of plane algebroid curves
Sagnik Chakraborty, R. V. Gurjar, Madhuparna Pal
In this paper, we study the derivations of an irreducible plane algebroid curve , which is not regular. Since the normalization of is isomorphic to $k[…
Invariants of Surfaces of Degree in
R. V. Gurjar, Alok Maharana
We prove that several invariants of a possibly singular complex affine or projective variety of degree in the affine space , or , are bounded by a…
The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities o…
A Note on Rational Cuspidal curves on -Homology Projective Planes
R. V. Gurjar, DongSeon Hwang, Sagar Kolte
We generalize results by Wakabayashi and Orevkov about rational cuspidal curves on the projective plane to that on -homology projective planes. It turns out that the re…
Fundamental Group of some Genus-2 Fibrations and Applications
R. V. Gurjar, Sagar Kolte
We will prove that given a genus-2 fibration on a smooth projective surface such that , the fundamental group of is almost isomorphic…
Affine threefolds admitting -actions
R. V. Gurjar, M. Koras, M. Miyanishi +1
Affine varieties of dimension greater than two can be explored their structures with the help of fibrations by the affine line or plane and quotient morphisms by -act…