Výsledky vyhledávání - "Marshburn, Nicholas"

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An Update on the Classification of Rank 2 Weak Fano Threefolds

Autor: Cutrone, Joseph, Marshburn, Nicholas

In this paper, an update on the classification of smooth weak Fano threefolds with Picard number two and small anti-canonical maps is given. Geometric constructions are provided for previously open numerical cases by blowing up certain curves on smoo

Externí odkaz: http://arxiv.org/abs/2408.13097

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A Weak Fano Threefold Arising as a Blowup of a Curve of Genus 5 and Degree 8 on $\mathbb{P}^3$

Autor: Cutrone, Joseph W., Limarzi, Michael A., Marshburn, Nicholas A.

This article constructs a smooth weak Fano threefold of Picard number two with small anti-canonical morphism that arises as a blowup of a smooth curve of genus 5 and degree 8 in $\mathbb{P}^3$. While the existence of this weak Fano was known as a num

Externí odkaz: http://arxiv.org/abs/1712.05295

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Brill-Noether general curves on Knutsen K3 surfaces

Autor: Arap, Maxim, Marshburn, Nicholas

This article classifies Knutsen K3 surfaces all of whose hyperplane sections are irreducible and reduced. As an application, this gives infinite families of K3 surfaces of Picard number two whose general hyperplane sections are Brill-Noether general

Externí odkaz: http://arxiv.org/abs/1208.4957

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On the existence of certain weak Fano threefolds of Picard number two

Autor: Arap, Maxim, Cutrone, Joseph, Marshburn, Nicholas

This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obtained by blowing up certain curves on smooth Fano threefolds of Picard

Externí odkaz: http://arxiv.org/abs/1112.2611

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Towards the Classification of Weak Fano Threefolds with \rho = 2

Autor: Cutrone, Joseph W., Marshburn, Nicholas A.

Publikováno v: Cent. Eur. J. Math 11(2013), no.9, 1551-1756

In this paper, we provide examples of Sarkisov links of type II between complex projective Fano threefolds $X$ with $\rho(X) = 1$. To show examples of these links, we study smooth weak Fano threefolds with extremal rays of type $E$. We further assume

Externí odkaz: http://arxiv.org/abs/1009.5036

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