Soumen Sarkar

activity

20082026

most citedOn the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties

27 citations · 86 across the 26 of their papers we have counts for

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math.DS2023

Quadratic, Homogeneous and Kolmogorov vector fields on $S^{1} \times S^{2}$ and $S^{2} \times S^{1}$

Supriyo Jana, Soumen Sarkar

In this paper, we consider the following two algebraic hypersurfaces $S^{1} \times S^{2} = {(x_{1}, x_{2}, x_{3}, x_{4}) \in R^{4} : (x_{1}^{2} + x_{2}^{2} - a^{2})^{2} + x_{3}^{2} + x_{4}^{2} - 1 = 0; a > 1}$ and $$S^…

math.DS2022★ 2 cited

Invariant Hyperplane Sections of Vector Fields on the Product of Spheres

Joji Benny, Soumen Sarkar

Let $S_{p, q}$ be the hypersurface in $R^{p + q + 1}$ defined by the following: $$ S_{p,q} := \left\lbrace (x_1,\ldots,x_{p+1},x_{p+2},\ldots,x_{p+q+1}) \in \mathbb{R}^{p+q+1}…

Quadratic, Homogeneous and Kolmogorov vector fields on S1×S2 and S2×S1

Invariant Hyperplane Sections of Vector Fields on the Product of Spheres

Quadratic, Homogeneous and Kolmogorov vector fields on $S^{1} \times S^{2}$ and $S^{2} \times S^{1}$