The Birational Geometry of Moduli Spaces (original) (raw)

Stable base locus decompositions of Kontsevich moduli spaces

Izzet Coskun

arXiv preprint arXiv:0902.1785, 2009

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Towards Mori's program for the moduli space of stable maps

Izzet Coskun

2009

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Birational geometry of moduli spaces of configurations of points on the line

Michele Bolognesi

arXiv: Algebraic Geometry, 2017

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The birational geometry of moduli spaces of sheaves on the projective plane

CRISTIAN ANDRES GIRALDO MARTINEZ

Geometriae Dedicata, 2013

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The Birational Geometry of the Moduli Spaces of Sheaves on P2

Izzet Coskun

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The effective cone of the moduli space of sheaves on the plane

Izzet Coskun

Journal of the European Mathematical Society, 2017

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The ample cone of moduli spaces of sheaves on the plane

Izzet Coskun

Algebraic Geometry, 2016

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Birational Geometry of the Space of Complete Quadrics

Cesar Torres Huerta

International Mathematics Research Notices, 2015

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The Birational Geometry of the Hilbert Scheme of Points on Surfaces

Izzet Coskun

Birational Geometry, Rational Curves, and Arithmetic, 2013

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On the Geometry of Moduli Spaces of Coherent Systems on Algebraic Curves

Steven Bradlow

International Journal of Mathematics, 2007

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Relations Among Divisors on the Moduli Space of Curves with Marked Points

Adam Logan

Communications in Algebra, 2003

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Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves

Angelo Lopez

Michigan Mathematical Journal, 2016

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Numerical properties of exceptional divisors of birational morphisms of smooth surfaces

Margarida Mendes Lopes

Rendiconti del Circolo Matematico di Palermo Series 2

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Brauer Group and Birational Type of Moduli Spaces of Torsionfree Sheaves on a Nodal Curve

Indranil Biswas

Communications in Algebra, 2014

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Moduli Spaces of Coherent Systems of Small Slope on Algebraic Curves

Steven Bradlow

Communications in Algebra, 2009

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A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves

lucia Caporaso

Journal of The American Mathematical Society, 1994

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Quotient categories, stability conditions, and birational geometry

Holger Partsch

arXiv preprint arXiv:0805.0492, 2008

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A Comprehensive Approach to the Moduli Space of Quasi-Homogeneous Singularities

Leonardo Câmara

2014

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The Picard groups of the moduli spaces of curves

Enrico Arbarello

Topology, 1987

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Rationality of moduli of vector bundles on curves

Aidan Schofield

Indagationes Mathematicae, 1999

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Birational classification of moduli spaces of vector bundles over P^2

Aidan Schofield

1999

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The Moduli Space of Surfaces with K

Roberto Pignatelli

2004

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Complete subvarieties in moduli spaces of rank 2 stable sheaves on smooth projective curves and surfaces

Cristian Anghel

2001

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Rationality of the Moduli Space of Stable Pairs over a Complex Curve

Indranil Biswas

Springer Optimization and Its Applications, 2012

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Singularities of stable varieties

Christopher Hacon

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On rational maps between moduli spaces of curves and of vector bundles

Michele Bolognesi

arXiv: Algebraic Geometry, 2009

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Minimal rational curves on moduli spaces of stable bundles

Xiaotao Sun

Mathematische Annalen, 2005

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Equivalent Birational Embeddings III: cones

Massimiliano Mella

arXiv: Algebraic Geometry, 2014

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Extremal higher codimension cycles on moduli spaces of curves

Izzet Coskun

Proceedings of the London Mathematical Society, 2015

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Birational classification of curves on rational surfaces

Ciro Ciliberto, Alberto Calabri

Nagoya Mathematical Journal, 2010

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Birational pairs according to S. Iitaka

Duncan Dicks

Mathematical proceedings of the Cambridge Philosophical Society, 1987

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Hypertrees, projections, and moduli of stable rational curves

Jenia Tevelev

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000

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On the automorphisms of moduli spaces of curves

Massimiliano Mella

2013

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Compactifications of Moduli of Points and Lines in the Projective Plane

Jenia Tevelev

International Mathematics Research Notices

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The geometry of the ball quotient model of the moduli space of genus four curves

Radu Laza

2011

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