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Softcover ISBN:  9780821868997 
Product Code:  CONM/564 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821885376 
Product Code:  CONM/564.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821868997 
eBook ISBN:  9780821885376 
Product Code:  CONM/564.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 564; 2012; 249 ppMSC: Primary 14
This book contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21–24, 2010, at the University of Georgia.
This book is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higherdimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles. These bundles originated in the 1970s in physics; the celebrated Verlinde formula computes their ranks.
Among the surveys are those that examine compact moduli spaces of surfaces of general type and others that concern the GIT constructions of log canonical models of moduli of stable curves.
The original research articles include, among others, papers on a formula for the Chern classes of conformal classes of conformal block bundles on the moduli spaces of stable curves, on Looijenga's conjectures, on algebraic and tropical Brill–Noether theory, on Green's conjecture, on rigid curves on moduli of curves, and on Steiner surfaces.
ReadershipGraduate students and research mathematicians interested in algebraic geometry and moduli theory.

Table of Contents

Articles

Paul Hacking — Compact moduli spaces of surfaces of general type

AnaMaria Castravet and Jenia Tevelev — Rigid curves on $\overline {M}_{0,n}$ and arithmetic breaks

Lucia Caporaso — Algebraic and combinatorial BrillNoether theory

Jarod Alper and Donghoon Hyeon — GIT constructions of log canonical models of $\overline {M}_g$

Sebastian CasalainaMartin, David Jensen and Radu Laza — The geometry of the ball quotient model of the moduli space of genus four curves

Enrico Arbarello and Gabriele Mondello — Two remarks on the Weierstrass flag

Najmuddin Fakhruddin — Chern classes of conformal blocks

V. Balaji and János Kollár — Restrictions of stable bundles

Prakash Belkale — Orthogonal bundles, theta characteristics and symplectic strange duality

Sándor J. Kovács — The splitting principle and singularities

Shigeru Mukai — Igusa quartic and Steiner surfaces

Marian Aprodu and Gavril Farkas — Green’s conjecture for general covers

Brendan Hassett and Yuri Tschinkel — Spaces of sections of quadric surface fibrations over curves


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This book contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21–24, 2010, at the University of Georgia.
This book is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higherdimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles. These bundles originated in the 1970s in physics; the celebrated Verlinde formula computes their ranks.
Among the surveys are those that examine compact moduli spaces of surfaces of general type and others that concern the GIT constructions of log canonical models of moduli of stable curves.
The original research articles include, among others, papers on a formula for the Chern classes of conformal classes of conformal block bundles on the moduli spaces of stable curves, on Looijenga's conjectures, on algebraic and tropical Brill–Noether theory, on Green's conjecture, on rigid curves on moduli of curves, and on Steiner surfaces.
Graduate students and research mathematicians interested in algebraic geometry and moduli theory.

Articles

Paul Hacking — Compact moduli spaces of surfaces of general type

AnaMaria Castravet and Jenia Tevelev — Rigid curves on $\overline {M}_{0,n}$ and arithmetic breaks

Lucia Caporaso — Algebraic and combinatorial BrillNoether theory

Jarod Alper and Donghoon Hyeon — GIT constructions of log canonical models of $\overline {M}_g$

Sebastian CasalainaMartin, David Jensen and Radu Laza — The geometry of the ball quotient model of the moduli space of genus four curves

Enrico Arbarello and Gabriele Mondello — Two remarks on the Weierstrass flag

Najmuddin Fakhruddin — Chern classes of conformal blocks

V. Balaji and János Kollár — Restrictions of stable bundles

Prakash Belkale — Orthogonal bundles, theta characteristics and symplectic strange duality

Sándor J. Kovács — The splitting principle and singularities

Shigeru Mukai — Igusa quartic and Steiner surfaces

Marian Aprodu and Gavril Farkas — Green’s conjecture for general covers

Brendan Hassett and Yuri Tschinkel — Spaces of sections of quadric surface fibrations over curves