Výsledky vyhledávání - "Kolte, Sagar"

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A Note on Rational Cuspidal curves on $\mathbb{Q}$-Homology Projective Planes

Autor: Gurjar, R. V., Hwang, DongSeon, Kolte, Sagar

We generalize results by Wakabayashi and Orevkov about rational cuspidal curves on the projective plane to that on $\mathbb{Q}$-homology projective planes. It turns out that the result is exactly the same as the projective plane case under suitable a

Externí odkaz: http://arxiv.org/abs/1603.00125

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$\mathbb{Q}$-Homology Plane pairs with Logarithmic Kodaira dimension 1

Autor: Kolte, Sagar

A pair $(S,C)$ is called a singular $\mathbb{Q}$-homology plane pair if $S$ is a singular projective surface with only quotient singularities having the same rational homology as $\mathbb{p}^2$ and $C \subset S$ has the same rational homology as $\ma

Externí odkaz: http://arxiv.org/abs/1512.08840

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Fundamental Group of some Genus-2 Fibrations and Applications

Autor: Gurjar, R. V., Kolte, Sagar

We will prove that given a genus-2 fibration $f: X \rightarrow C$ on a smooth projective surface $X$ such that $b_1(X)=b_1(C)+2$, the fundamental group of $X$ is almost isomorphic to $\pi_1(C) \times \pi_1(E)$, where $E$ is an elliptic curve. We will

Externí odkaz: http://arxiv.org/abs/1512.08839

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On the Zariski-Lipman conjecture for normal algebraic surfaces

Autor: Biswas, Indranil, Gurjar, R. V., Kolte, Sagar U.

We consider the Zariski-Lipman Conjecture on free module of derivations for algebraic surfaces. Using the theory of non-complete algebraic surfaces, and some basic results about ruled surfaces, we will prove the conjecture for several classes of affi

Externí odkaz: http://arxiv.org/abs/1403.5613

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