CURVES OF LOW DEGREES IN FANO VARIETIES OLIVIER DEBARRE Abstract. We work over the complex numbers. Fano manifolds are smooth projective varieties whose canonical bundle is antiample. In dimensions at most 3, they are al

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• Abstract algebra
• Algebra
• Geometry
• Algebraic geometry
• Fano variety
• Birational geometry
• Divisor
• Projective variety
• Coherent sheaf
• Hodge structure
• Cohomology
• Ample line bundle

Grivaux, Julien Parabolic automorphisms of projective surfaces (after M. H. Gizatullin). (English) Zbl
Mosc. Math. J. 16, No. 2, Summary: In [Izv. Akad. Nauk SSSR, Ser. Mat. 44, 110–144 (

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On the geometry of hypersurfaces of low degrees in the projective space ——————– ¨ Lecture notes for the CIMPA/TUBTAK/GSU Summer

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• Geometry
• Abstract algebra
• Algebra
• Algebraic geometry
• Projective geometry
• Algebraic varieties
• Birational geometry
• Vector bundles
• Projective variety
• Grassmannian
• Divisor
• Smooth scheme

CATEGORIES AND HOMOLOGICAL ALGEBRA Exercises for April 26 Exercise 1. Let R be a principal ideal domain. If M is a finitely generated R-module, show that M is a projective R-module ⇐⇒ M is a free R-module ⇐⇒ M is

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HEIGHTS ON PROJECTIVE SPACES AND DYNAMICAL SYSTEMS Height theory is among the fundamental tools frequently used in number theory. A height function measures the arithmetic complexity of a point. It translates thus a geom

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Quantum error correcting codes Quantum codes from real projective spaces Homological quantum error correcting codes and real projective space

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Computing in Picard groups of projective curves over finite fields Peter Bruin Essen, 10 November 2009 Abstract Following the work of K. Khuri-Makdisi (see [3] and [4]), I will describe a way of representing a

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Projective Bundle Adjustment from Arbitrary Initialization using the Variable Projection Method Je Hyeong Hong1 , Christopher Zach2 , Andrew Fitzgibbon3 and Roberto Cipolla1 1 2

Source URL: mi.eng.cam.ac.uk

arXiv:1303.4113v2 [math.AG] 2 AprCorrespondences between projective planes June Huh Abstract We characterize integral homology classes of the product of two projective planes which

Source URL: web.math.princeton.edu

TORUS ACTIONS AND TENSOR PRODUCTS OF INTERSECTION COHOMOLOGY ASILATA BAPAT ABSTRACT. Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their ten

Source URL: asilata.github.io