
Buddhadev HajraChennai Mathematical Institute · Chennai Mathematical Institute
Buddhadev Hajra
PhD
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4
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Introduction
Skills and Expertise
Additional affiliations
February 2022 - July 2022
July 2016 - April 2022
Education
July 2014 - July 2016
Publications
Publications (4)
A topological space (not necessarily simply connected) is said to have finite homotopy rank-sum if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compact complex Kaehler surfaces having finite homotopy rank-sum. We also prove the Steinness of the univ...
In this paper, we will give a classification of smooth complex affine Eilenberg–MacLane surfaces of non-general type. We also give a result about smooth complex projective Eilenberg–MacLane surfaces assuming an affirmative answer to a conjecture of Shafarevich.
In this paper, we discuss various results about variation of the local fundamental group of normal complex spaces. It is proved that the finite Galois descent of upper semicontinuity of the local fundamental group holds at a factorial complex analytic germ. We also show by an example that finite Galois descent of upper semicontinuity of the local f...
In this paper we will give a short proof of a special case of Zariski’s result about finite generation in connection with Hilbert’s 14th problem using a new idea. Our result is useful for invariant subrings of unipotent or connected semisimple groups. We will also prove an analogue of Miyanishi’s result for the ring of invariants of a Ga\documentcl...