On the Effective Cone of Blown-up atn+ 3 Points

DOI10.1080/10586458.2015.1099060zbMath1367.14003arXiv1501.04094OpenAlexW2314629217MaRDI QIDQ5739442

Maria Chiara Brambilla, Elisa Postinghel, Olivia Dumitrescu

Publication date: 15 July 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04094

zbMATH Keywords

interpolationfat pointssecant varietiesrational normal curveseffective and movable cones

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20) Hypersurfaces and algebraic geometry (14J70)

Related Items (11)

On linear systems of \(\mathbb P^3\) with nine base points ⋮ On the Fano variety of linear spaces contained in two odd-dimensional quadrics ⋮ Cones of effective divisors on the blown-up \({\mathbb {P}}^3\) in general lines ⋮ Positivity of divisors on blown-up projective spaces. II. ⋮ Log Fano structures and Cox rings of blow-ups of products of projective spaces ⋮ Positivity of divisors on blow-up projective spaces, I ⋮ Cremona Orbits in $$\mathbb {P}^4$$ and Applications ⋮ Log Fano blowups of mixed products of projective spaces and their effective cones ⋮ Weyl Cycles on the Blow-Up of $${\mathbb P}^4$$ at Eight Points ⋮ Explicit log Fano structures on blow-ups of projective spaces ⋮ On linear systems with multiple points on a rational normal curve

Cites Work

• Unnamed Item
• Unnamed Item
• On linear systems of \(\mathbb P^3\) with nine base points
• Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties
• A new proof of the Alexander-Hirschowitz interpolation theorem
• Varieties with minimal secant degree and linear systems of maximal dimension on surfaces
• On linear systems of \(\mathbb P^3\) through multiple points
• Sagbi bases of Cox-Nagata rings
• Special effect varieties and \((-1)\)-curves
• The geometric interpretation of Fröberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space
• On the Alexander-Hirschowitz theorem
• A brief proof of a maximal rank theorem for generic double points in projective space
• Hilbert's 14th problem and Cox rings
• On a class of special linear systems of $\mathbb{P}^3$
• Elementary (−1)-Curves of ℙ³
• An inequality for Hilbert series of graded algebras.
• On a notion of speciality of linear systems in $\mathbb {P}^n$
• Existence results for rational normal curves
• Mori dream spaces and GIT.

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