Recent Developments in Algebraic Geometry: To Miles Reid for his 70th Birthday

367 Pages·2023·4.365 MB·English

by  Hamid Abban, Gavin Brown, Alexander Kasprzyk, Shigefumi Mori

LONDONMATHEMATICALSOCIETYLECTURENOTESERIES
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419 TheCauchyproblemfornon-Lipschitzsemi-linearparabolicpartialdifferentialequations,
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Published online by Cambridge University Press
LondonMathematicalSocietyLectureNoteSeries:478
Recent Developments in
Algebraic Geometry
ToMilesReidforhis70thBirthday
Editedby
HAMID ABBAN
LoughboroughUniversity
GAVIN BROWN
UniversityofWarwick
ALEXANDER KASPRZYK
UniversityofNottingham
SHIGEFUMI MORI
KyotoUniversity
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DOI:10.1017/9781009180849
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LibraryofCongressCataloging-in-PublicationData
Names:Abban,Hamid,1983–author.|Brown,Gavin,1968–author.|
Kasprzyk,Alexander,1980–author.|Mori,Shigefumi,author.
Title:Recentdevelopmentsinalgebraicgeometry:toMilesReidforhis
70thbirthday/editedbyHamidAbban,LoughboroughUniversity,Gavin
Brown,UniversityofWarwick,AlexanderKasprzyk,Universityof
Nottingham,ShigefumiMori,KyotoUniversity.
Description:Cambridge,UnitedKingdom;NewYork,NY,USA:Cambridge
UniversityPress,2022.|Includesbibliographicalreferencesandindex.
Identifiers:LCCN2022009684|ISBN9781009180856(paperback)|
ISBN9781009180849(ebook)
Subjects:LCSH:Reid,Miles(MilesA.)–Influence.|Geometry,Algebraic.
Classification:LCCQA564.A1982022|DDC516.3/5–dc23/eng20220716
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Published online by Cambridge University Press
70 Miles
Published online by Cambridge University Press
Published online by Cambridge University Press
Contents
ListofContributors pageix
Happy Birthday
HamidAbban,GavinBrown,AlexanderKasprzykandShigefumiMori 1
On Stable Cohomology of Central Extensions
of Elementary Abelian Groups
Fedor Bogomolov, Christian B¨ohning and Alena Pirutka 4
On Projective 3-Folds of General Type with p = 2
g
Meng Chen, Yong Hu and Matteo Penegini 20
15-Nodal Quartic Surfaces. Part I: Quintic del Pezzo
Surfaces and Congruences of Lines in P3
Igor V. Dolgachev 66
Mori Flips, Cluster Algebras and Diptych Varieties
Without Unprojection
Tom Ducat 116
The Mirror of the Cubic Surface
Mark Gross, Paul Hacking, Sean Keel and Bernd Siebert 150
Semi-Orthogonal Decomposition of a Derived Category
of a 3-Fold With an Ordinary Double Point
Yujiro Kawamata 183
Duality and Normalization, Variations on a Theme
of Serre and Reid
J´anos Kolla´r 216
Published online by Cambridge University Press
viii Contents
Rationality of Q-Fano Threefolds of Large Fano Index
Yuri Prokhorov 253
An Exceptional Locus in the Perfect Compactification
of A
g
N. I. Shepherd-Barron 275
Variation of Stable Birational Types of Hypersurfaces
Evgeny Shinder 296
Triangle Varieties and Surface Decomposition
of Hyper-K¨ahler Manifolds
Claire Voisin 314
Published online by Cambridge University Press
Contributors
HamidAbban
DepartmentofMathematicalSciences,LoughboroughUniversity
JohnArmstrong
DepartmentofMathematics,King’sCollegeLondon
FedorBogomolov
CourantInstituteofMathematicalSciences,NewYorkUniversity
ChristianBo¨hning
MathematicsInstitute,UniversityofWarwick
GavinBrown
MathematicsInstitute,UniversityofWarwick
MengChen
SchoolofMathematicalSciences,FudanUniversity
HailongDao
DepartmentofMathematics,UniversityofKansas
IgorV.Dolgachev
DepartmentofMathematics,UniversityofMichigan
TomDucat
MathematicalSciences,DurhamUniversity
MarkGross
TheDepartmentofPureMathematicsandMathematicalStatistics,
UniversityofCambridge
PaulHacking
DepartmentofMathematicsandStatistics,UniversityofMassachusetts
Published online by Cambridge University Press