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Celebration of Algebraic Geometry [Pehme köide]

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  • Formaat: Paperback / softback, 599 pages, kaal: 1080 g
  • Sari: Clay Mathematics Proceedings
  • Ilmumisaeg: 30-Oct-2013
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821889834
  • ISBN-13: 9780821889831
Teised raamatud teemal:
  • Formaat: Paperback / softback, 599 pages, kaal: 1080 g
  • Sari: Clay Mathematics Proceedings
  • Ilmumisaeg: 30-Oct-2013
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821889834
  • ISBN-13: 9780821889831
Teised raamatud teemal:
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honour of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkahler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry.
Introduction ix
Classification of 2-Fano manifolds with high index
1(36)
Carolina Araujo
Ana-Maria Castravet
Abelian varieties associated to Gaussian lattices
37(8)
Arnaud Beauville
Rank of divisors on graphs: An algebro-geometric analysis
45(20)
Lucia Caporaso
A tour of stable reduction with applications
65(54)
Sebastian Casalaina-Martin
The solvable monodromy extension property and varieties of log general type
119(12)
Sabin Cautis
Effective divisors of moduli spaces of curves and abelian varieties
131(40)
Dawei Chen
Gavril Farkas
Ian Morrison
Rational self maps of Calabi-Yau manifolds
171(14)
Xi Chen
Variations on Nagata's conjecture
185(20)
Ciro Ciliberto
Brian Harbourne
Rick Miranda
Joaquim Roe
Symplectic restriction varieties and geometric branching rules
205(36)
Izzet Coskun
Riemann-Roch for Deligne-Mumford stacks
241(26)
Dan Edidin
The regularity of the conductor
267(14)
David Eisenbud
Bernd Ulrich
Stability of genus five canonical curves
281(30)
Maksym Fedorchuk
David Ishii Smyth
Restriction of sections for families of abelian varieties
311(18)
Tom Graber
Jason Michael Starr
Correspondence and cycles spaces: A result comparing their cohomologies
329(32)
Mark Green
Phillip Griffiths
Geometry of theta divisors---a survey
361(30)
Samuel Grushevsky
Klaus Hulek
Singular curves and their compactified Jacobians
391(38)
Jesse Leo Kass
On the Gottsche threshold
429(22)
Steven L. Kleiman
Vivek V. Shende
Ilya Tyomkin
Curve counting a la Gottsche
451(6)
Steven L. Kleiman
Mnev-Sturmfels universality for schemes
457(12)
Seok Hyeong Lee
Ravi Vakil
Gromov-Witten theory and Noether-Lefschetz theory
469(40)
Davesh Maulik
Rahul Pandharipande
Numerical Macaulification
509(26)
Juan Migliore
Uwe Nagel
The non-nef locus in positive characteristic
535(18)
Mircea Mustata
Pairwise incident planes and hyperkahler four-folds
553(14)
Kieran G. O'Grady
Derived equivalence and non-vanishing loci
567(10)
Mihnea Popa
Degenerations of rationally connected varieties and PAC fields
577(14)
Jason Starr
Remarks on curve classes on rationally connected varieties
591
Claire Voisin
Brendan Hassett, Rice University, Houston, TX, USA

James McKernan, Massachusetts Institute of Technology, Cambridge, MA, USA

Jason Starr, Stony Brook University, NY, USA

Ravi Vakil, Stanford University, CA, USA