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  • Some spaces associated with multigraded rings 
    ROY, KARTIK (2023-07)
    This thesis discusses multihomogeneous spaces and their relation with T-varieties and toric varieties. Firstly, we study multihomogeneous spaces corresponding to $\mathbb{Z}^n$-graded algebras over an algebraically closed ...
  • Properties of multihomogeneous spaces and relation with T-varieties 
    MALLICK, VIVEK MOHAN; ROY, KARTIK (World Scientific Publishing, 2023-09)
    We study multihomogeneous spaces corresponding to Zn
  • Exploring Equivariant Chow Groups for Complexity One T-Varieties via Downgrading Techniques 
    DIGHE, PAVANKUMAR (2024-04)
    A T-variety is an algebraic variety X with an effective torus action T. The number c(X) = dim(X)−dim(T) is called complexity of T-variety X. Altmann, Hausen and Süss have described these spaces in terms of pp-divisor and ...
  • Torus invariant pp-divisor using GIT 
    DIGHE, PAVANKUMAR; MALLICK, VIVEK MOHAN (Indian Academy of Sciences/ Springer Nature, 2025-05)
    For an affine T-variety X with the action of a torus T, this paper provides a combinatorial description of X with respect to the action of a subtorus by showing that the (GIT constructed) pp-divisor constructed by Altmann ...