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arXiv · 2303.01045

Invariants of Surfaces of Degree $d$ in $\mathbb{P}^n$

R. V. Gurjar·Alok Maharana
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Abstract

We prove that several invariants of a possibly singular complex affine or projective variety of degree $d$ in the affine space $\mathbb{A}^{n}$, or $\mathbb{P}^n$, are bounded by a function of $d$ alone, provided $b_{1}=0$ for a resolution of singularities of the variety.

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R. V. Gurjar, Alok Maharana. 2023-03-02. Invariants of Surfaces of Degree $d$ in $\mathbb{P}^n$. https://arxiv.org/abs/2303.01045

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