B. Hajra

activity

20242026

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4 papers · 1 filter

math.AG2026

Smooth affine surfaces properly dominated by $C^{} \times C^{}$

Buddhadev Hajra

We classify smooth complex affine surfaces admitting a finite surjective morphism from $C^{*} \times C^{*}$ . Using the classification theory of smooth affine surfaces a…

math.AG2026

The Isomorphism Classes of the Surfaces $x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 = 0$

Michael Chitayat, Buddhadev Hajra

Let $f = x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 \in C [x_{1}, x_{2}, x_{3}]$ and let $g = y_{1}^{b_{1}} + y_{2}^{b_{2}} + y_{3}^{b_{3}} + 1 \in C [y_{1}, y_{2}, y_{3}]$ where $a_1,a_2,a_3,b_1,b…

math.AG2026

Generalized Zariski cancellation for Brieskorn--Pham varieties

Buddhadev Hajra, Mohit Upmanyu

We establish a generalized Zariski cancellation theorem for Brieskorn--Pham varieties over the field of complex numbers. More precisely, we show that if two complex Brieskorn--Pham…

math.AG2026

On Proper Descent of Smooth Affine Surfaces with Finite Homotopy Rank-Sum

Buddhadev Hajra

We study the descent behaviour of homotopy-theoretic properties of smooth complex affine surfaces under finite surjective morphisms. We first examine the Eilenberg-MacLane property…

Smooth affine surfaces properly dominated by C∗×C∗

The Isomorphism Classes of the Surfaces x1a1​​+x2a2​​+x3a3​​+1=0

Generalized Zariski cancellation for Brieskorn--Pham varieties

On Proper Descent of Smooth Affine Surfaces with Finite Homotopy Rank-Sum

Smooth affine surfaces properly dominated by $C^{} \times C^{}$

The Isomorphism Classes of the Surfaces $x_{1}^{a_{1}} + x_{2}^{a_{2}} + x_{3}^{a_{3}} + 1 = 0$