Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday (Volume 2)

394 Pages·2022·3.956 MB·English

by  Paolo Aluffi (editor)

LONDONMATHEMATICALSOCIETYLECTURENOTESERIES
ManagingEditor:ProfessorEndreSu¨li,MathematicalInstitute,UniversityofOxford,
WoodstockRoad,OxfordOX26GG,UnitedKingdom
Thetitlesbelowareavailablefrombooksellers,orfromCambridgeUniversityPressat
www.cambridge.org/mathematics
366 Highlyoscillatoryproblems, B.ENGQUIST,A.FOKAS,E.HAIRER&A.ISERLES(eds)
367 Randommatrices:Highdimensionalphenomena, G.BLOWER
368 GeometryofRiemannsurfaces, F.P.GARDINER,G.GONZA´LEZ-DIEZ&C.KOUROUNIOTIS(eds)
369 Epidemicsandrumoursincomplexnetworks, M.DRAIEF&L.MASSOULIE´
370 Theoryofp-adicdistributions, S.ALBEVERIO,A.YU.KHRENNIKOV&V.M.SHELKOVICH
371 Conformalfractals, F.PRZYTYCKI&M.URBAN´SKI
372 Moonshine:Thefirstquartercenturyandbeyond, J.LEPOWSKY,J.MCKAY&M.P.TUITE(eds)
373 Smoothness,regularityandcompleteintersection, J.MAJADAS&A.G.RODICIO
374 Geometricanalysisofhyperbolicdifferentialequations:Anintroduction, S.ALINHAC
375 Triangulatedcategories, T.HOLM,P.JØRGENSEN&R.ROUQUIER(eds)
376 Permutationpatterns, S.LINTON,N.RUSˇKUC&V.VATTER(eds)
377 AnintroductiontoGaloiscohomologyanditsapplications, G.BERHUY
378 Probabilityandmathematicalgenetics, N.H.BINGHAM&C.M.GOLDIE(eds)
379 Finiteandalgorithmicmodeltheory, J.ESPARZA,C.MICHAUX&C.STEINHORN(eds)
380 Realandcomplexsingularities, M.MANOEL,M.C.ROMEROFUSTER&C.T.CWALL(eds)
381 Symmetriesandintegrabilityofdifferenceequations, D.LEVI,P.OLVER,Z.THOMOVA&
P.WINTERNITZ(eds)
382 Forcingwithrandomvariablesandproofcomplexity, J.KRAJ´ICˇEK
383 Motivicintegrationanditsinteractionswithmodeltheoryandnon-ArchimedeangeometryI,
R.CLUCKERS,J.NICAISE&J.SEBAG(eds)
384 Motivicintegrationanditsinteractionswithmodeltheoryandnon-ArchimedeangeometryII,
R.CLUCKERS,J.NICAISE&J.SEBAG(eds)
385 EntropyofhiddenMarkovprocessesandconnectionstodynamicalsystems, B.MARCUS,K.PETERSEN
&T.WEISSMAN(eds)
386 Independence-friendlylogic, A.L.MANN,G.SANDU&M.SEVENSTER
387 GroupsStAndrews2009inBathI, C.M.CAMPBELLetal(eds)
388 GroupsStAndrews2009inBathII, C.M.CAMPBELLetal(eds)
389 Randomfieldsonthesphere, D.MARINUCCI&G.PECCATI
390 Localizationinperiodicpotentials, D.E.PELINOVSKY
391 Fusionsystemsinalgebraandtopology, M.ASCHBACHER,R.KESSAR&B.OLIVER
392 Surveysincombinatorics2011, R.CHAPMAN(ed)
393 Non-abelianfundamentalgroupsandIwasawatheory, J.COATESetal(eds)
394 Variationalproblemsindifferentialgeometry, R.BIELAWSKI,K.HOUSTON&M.SPEIGHT(eds)
395 Howgroupsgrow, A.MANN
396 Arithmeticdifferentialoperatorsoverthep-adicintegers, C.C.RALPH&S.R.SIMANCA
397 Hyperbolicgeometryandapplicationsinquantumchaosandcosmology, J.BOLTE&F.STEINER(eds)
398 Mathematicalmodelsincontactmechanics, M.SOFONEA&A.MATEI
399 Circuitdoublecoverofgraphs, C.-Q.ZHANG
400 Densespherepackings:ablueprintforformalproofs, T.HALES
401 AdoubleHallalgebraapproachtoaffinequantumSchur–Weyltheory, B.DENG,J.DU&Q.FU
402 Mathematicalaspectsoffluidmechanics, J.C.ROBINSON,J.L.RODRIGO&W.SADOWSKI(eds)
403 Foundationsofcomputationalmathematics,Budapest2011, F.CUCKER,T.KRICK,A.PINKUS&
A.SZANTO(eds)
404 Operatormethodsforboundaryvalueproblems, S.HASSI,H.S.V.DESNOO&F.H.SZAFRANIEC(eds)
405 Torsors,e´talehomotopyandapplicationstorationalpoints, A.N.SKOROBOGATOV(ed)
406 Appalachiansettheory, J.CUMMINGS&E.SCHIMMERLING(eds)
407 Themaximalsubgroupsofthelow-dimensionalfiniteclassicalgroups, J.N.BRAY,D.F.HOLT&
C.M.RONEY-DOUGAL
408 Complexityscience:theWarwickmaster’scourse, R.BALL,V.KOLOKOLTSOV&R.S.MACKAY(eds)
409 Surveysincombinatorics2013, S.R.BLACKBURN,S.GERKE&M.WILDON(eds)
410 Representationtheoryandharmonicanalysisofwreathproductsoffinitegroups,
T.CECCHERINI-SILBERSTEIN,F.SCARABOTTI&F.TOLLI
411 Modulispaces, L.BRAMBILA-PAZ,O.GARC´IA-PRADA,P.NEWSTEAD&R.P.THOMAS(eds)
412 Automorphismsandequivalencerelationsintopologicaldynamics, D.B.ELLIS&R.ELLIS
413 Optimaltransportation, Y.OLLIVIER,H.PAJOT&C.VILLANI(eds)
414 AutomorphicformsandGaloisrepresentationsI, F.DIAMOND,P.L.KASSAEI&M.KIM(eds)
415 AutomorphicformsandGaloisrepresentationsII, F.DIAMOND,P.L.KASSAEI&M.KIM(eds)
416 Reversibilityindynamicsandgrouptheory, A.G.O’FARRELL&I.SHORT
417 Recentadvancesinalgebraicgeometry, C.D.HACON,M.MUSTAT¸A˘&M.POPA(eds)
418 TheBloch–KatoconjecturefortheRiemannzetafunction, J.COATES,A.RAGHURAM,A.SAIKIA&
R.SUJATHA(eds)
419 TheCauchyproblemfornon-Lipschitzsemi-linearparabolicpartialdifferentialequations, J.C.MEYER&
D.J.NEEDHAM
420 Arithmeticandgeometry, L.DIEULEFAITetal(eds)
421 O-minimalityandDiophantinegeometry, G.O.JONES&A.J.WILKIE(eds)
422 GroupsStAndrews2013, C.M.CAMPBELLetal(eds)
423 Inequalitiesforgrapheigenvalues, Z.STANIC´
424 Surveysincombinatorics2015, A.CZUMAJetal(eds)
425 Geometry,topologyanddynamicsinnegativecurvature, C.S.ARAVINDA,F.T.FARRELL&
J.-F.LAFONT(eds)
426 Lecturesonthetheoryofwaterwaves, T.BRIDGES,M.GROVES&D.NICHOLLS(eds)
427 RecentadvancesinHodgetheory, M.KERR&G.PEARLSTEIN(eds)
428 GeometryinaFre´chetcontext, C.T.J.DODSON,G.GALANIS&E.VASSILIOU
429 Sheavesandfunctionsmodulop, L.TAELMAN
430 RecentprogressinthetheoryoftheEulerandNavier–Stokesequations, J.C.ROBINSON,J.L.RODRIGO,
W.SADOWSKI&A.VIDAL-LO´PEZ(eds)
431 Harmonicandsubharmonicfunctiontheoryontherealhyperbolicball, M.STOLL
432 Topicsingraphautomorphismsandreconstruction(2ndEdition), J.LAURI&R.SCAPELLATO
433 RegularandirregularholonomicD-modules, M.KASHIWARA&P.SCHAPIRA
434 Analyticsemigroupsandsemilinearinitialboundaryvalueproblems(2ndEdition), K.TAIRA
435 GradedringsandgradedGrothendieckgroups, R.HAZRAT
436 Groups,graphsandrandomwalks, T.CECCHERINI-SILBERSTEIN,M.SALVATORI&
E.SAVA-HUSS(eds)
437 Dynamicsandanalyticnumbertheory, D.BADZIAHIN,A.GORODNIK&N.PEYERIMHOFF(eds)
438 Randomwalksandheatkernelsongraphs, M.T.BARLOW
439 Evolutionequations, K.AMMARI&S.GERBI(eds)
440 Surveysincombinatorics2017, A.CLAESSONetal(eds)
441 Polynomialsandthemod2SteenrodalgebraI, G.WALKER&R.M.W.WOOD
442 Polynomialsandthemod2SteenrodalgebraII, G.WALKER&R.M.W.WOOD
443 Asymptoticanalysisingeneralrelativity, T.DAUDE´,D.HA¨FNER&J.-P.NICOLAS(eds)
444 Geometricandcohomologicalgrouptheory, P.H.KROPHOLLER,I.J.LEARY,C.MART´INEZ-PE´REZ&
B.E.A.NUCINKIS(eds)
445 Introductiontohiddensemi-Markovmodels, J.VANDERHOEK&R.J.ELLIOTT
446 Advancesintwo-dimensionalhomotopyandcombinatorialgrouptheory, W.METZLER&
S.ROSEBROCK(eds)
447 Newdirectionsinlocallycompactgroups, P.-E.CAPRACE&N.MONOD(eds)
448 Syntheticdifferentialtopology, M.C.BUNGE,F.GAGO&A.M.SANLUIS
449 Permutationgroupsandcartesiandecompositions, C.E.PRAEGER&C.SCHNEIDER
450 Partialdifferentialequationsarisingfromphysicsandgeometry, M.BENAYEDetal(eds)
451 Topologicalmethodsingrouptheory, N.BROADDUS,M.DAVIS,J.-F.LAFONT&I.ORTIZ(eds)
452 Partialdifferentialequationsinfluidmechanics, C.L.FEFFERMAN,J.C.ROBINSON&
J.L.RODRIGO(eds)
453 Stochasticstabilityofdifferentialequationsinabstractspaces, K.LIU
454 Beyondhyperbolicity, M.HAGEN,R.WEBB&H.WILTON(eds)
455 GroupsStAndrews2017inBirmingham, C.M.CAMPBELLetal(eds)
456 Surveysincombinatorics2019, A.LO,R.MYCROFT,G.PERARNAU&A.TREGLOWN(eds)
457 Shimuravarieties, T.HAINES&M.HARRIS(eds)
458 IntegrablesystemsandalgebraicgeometryI, R.DONAGI&T.SHASKA(eds)
459 IntegrablesystemsandalgebraicgeometryII, R.DONAGI&T.SHASKA(eds)
460 Wigner-typetheoremsforHilbertGrassmannians, M.PANKOV
461 Analysisandgeometryongraphsandmanifolds, M.KELLER,D.LENZ&R.K.WOJCIECHOWSKI
462 ZetaandL-functionsofvarietiesandmotives, B.KAHN
463 Differentialgeometryinthelarge, O.DEARRICOTTetal(eds)
464 Lecturesonorthogonalpolynomialsandspecialfunctions, H.S.COHL&M.E.H.ISMAIL(eds)
465 ConstrainedWillmoresurfaces, A´.C.QUINTINO
466 Invarianceofmodulesunderautomorphismsoftheirenvelopesandcovers, A.K.SRIVASTAVA,
A.TUGANBAEV&P.A.GUILASENSIO
467 ThegenesisoftheLanglandsprogram, J.MUELLER&F.SHAHIDI
468 (Co)endcalculus, F.LOREGIAN
469 Computationalcryptography, J.W.BOS&M.STAM(eds)
470 Surveysincombinatorics2021, K.K.DABROWSKIetal(eds)
471 Matrixanalysisandentrywisepositivitypreservers, A.KHARE
472 FacetsofalgebraicgeometryI, P.ALUFFIetal(eds)
473 FacetsofalgebraicgeometryII, P.ALUFFIetal(eds)
474 Equivarianttopologyandderivedalgebra, S.BALCHIN,D.BARNES,M.KE¸DZIOREK
&M.SZYMIK(eds)
475 EffectiveresultsandmethodsforDiophantineequationsoverfinitelygenerateddomains, J.-H.EVERTSE
&K.GYO˝RY
LondonMathematicalSocietyLectureNoteSeries:473
Facets of Algebraic Geometry
A Collection in Honor of William Fulton’s
80th Birthday
volume 2
Editedby
PAOLO ALUFFI
FloridaStateUniversity
DAVID ANDERSON
OhioStateUniversity
MILENA HERING
UniversityofEdinburgh
MIRCEA MUSTAT¸A˘
UniversityofMichigan,AnnArbor
SAM PAYNE
UniversityofTexas,Austin
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DOI:10.1017/9781108877855
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Firstpublished2022
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LibraryofCongressCataloging-in-PublicationData
Names:Aluffi,Paolo,1960-editor.
Title:Facetsofalgebraicgeometry:acollectioninhonorofWilliam
Fulton’s80thbirthday/editedbyPaoloAluffi,FloridaState
University,DavidAnderson,OhioStateUniversity,MilenaHering,
UniversityofEdinburgh,MirceaMusta¸ta˘,UniversityofMichigan,Ann
Arbor,SamPayne,UniversityofTexas,Austin.
Description:Cambridge,UnitedKingdom;NewYork,NY:Cambridge
UniversityPress,2022.|Series:Londonmathematicalsocietylecture
noteseries;472,473|Includesbibliographicalreferences.
Identifiers:LCCN2021063035(print)|LCCN2021063036(ebook)|
ISBN9781108870061(2volumeset;paperback)|ISBN9781108792509
(volume1;paperback)|ISBN9781108792516(volume2;paperback)|
ISBN9781108877831(volume1;epub)|ISBN9781108877855(volume2;epub)
Subjects:LCSH:Geometry,Algebraic.|Topology.|BISAC:MATHEMATICS/Topology
Classification:LCCQA564.F332022(print)|LCCQA564(ebook)|
DDC516.3/5–dc23/eng/20220126
LCrecordavailableathttps://lccn.loc.gov/2021063035
LCebookrecordavailableathttps://lccn.loc.gov/2021063036
ISBN–2VolumeSet978-1-108-87006-1Paperback
ISBN–Volume1978-1-108-79250-9Paperback
ISBN–Volume2978-1-108-79251-6Paperback
CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyof
URLsforexternalorthird-partyinternetwebsitesreferredtointhispublication
anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain,
accurateorappropriate.
WededicatethesevolumeswithgratitudeandadmirationtoWilliamFulton,
ontheoccasionofhis80thbirthday.Wehopethatthearticlescollectedhere,
writtenbycolleagues,friends,andstudents,mayreflectthebreadthofBill’s
impactonmathematics,alongwiththedepthofhisenduringinfluenceonall
ofuswhohavehadthegreatgoodfortunetolearnfromandbe
inspiredbyhim.

Contents of Volume 2
ContentsofVolume1 pageix
ListofContributors(Volume2) xi
ListofContributors(Volume1) xiii
14 Stability of Tangent Bundles on Smooth Toric Picard-rank-2
VarietiesandSurfaces 1
MilenaHering,BenjaminNillandHendrikSu¨ß
15 TropicalCohomologywithIntegralCoefficientsfor
AnalyticSpaces 26
PhilippJell
16 SchubertPolynomials,PipeDreams,EquivariantClasses,
andaCo-transitionFormula 63
AllenKnutson
17 PositivityCertificatesviaIntegralRepresentations 84
KhazhgaliKozhasov,MateuszMichałekandBerndSturmfels
18 OntheCoproductinAffineSchubertCalculus 115
ThomasLam,SeungJinLeeandMarkShimozono
19 Bost–ConnesSystemsandF -structuresinGrothendieck
1
Rings,Spectra,andNoriMotives 147
JoshuaF.Lieber,YuriI.Manin,andMatildeMarcolli
20 NefCyclesonSomeHyperka¨hlerFourfolds 228
JohnChristianOttem
21 HigherOrderPolarandReciprocalPolarLoci 238
RagniPiene
vii
viii ContentsofVolume2
22 Characteristic Classes of Symmetric and Skew-symmetric
DegeneracyLoci 254
SutipojPromtapanandRicha´rdRima´nyi
23 EquivariantCohomology,SchubertCalculus,and
EdgeLabeledTableaux 284
ColleenRobichaux,HarshitYadavandAlexanderYong
24 GaloisGroupsofComposedSchubertProblems 336
FrankSottile,RobertWilliamsandLiYing
25 AK-theoreticFultonClass 367
RichardP.Thomas
Contents of Volume 1
ContentsofVolume2 pageix
ListofContributors(Volume1) xi
ListofContributors(Volume2) xiii
1 PositivityofSegre–MacPhersonClasses 1
PaoloAluffi,LeonardoC.Mihalcea,Jo¨rgSchu¨rmann
andChangjianSu
2 Brill–NoetherSpecialCubicFourfoldsofDiscriminant14 29
AsherAuel
3 AutomorphismGroupsofAlmostHomogeneousVarieties 54
MichelBrion
4 TopologyofModuliSpacesofTropicalCurveswith
MarkedPoints 77
MelodyChan,SørenGalatiusandSamPayne
5 MirrorSymmetryandSmoothingGorensteinToric
Affine3-folds 132
AlessioCorti,MatejFilipandAndreaPetracci
6 VertexAlgebrasofCohFT-type 164
ChiaraDamiolini,AngelaGibneyandNicolaTarasca
7 TheConeTheoremandtheVanishingofChowCohomology 190
DanEdidinandRyanRichey
8 Cayley–BacharachTheoremswithExcessVanishing 202
LawrenceEinandRobertLazarsfeld
9 EffectiveDivisorsonHurwitzSpaces 221
GavrilFarkas
ix
x ContentsofVolume1
10 ChowQuotientsofGrassmanniansbyDiagonalSubtori 241
NoahGiansiracusaandXianWu
11 QuantumKirwanforQuantumK-theory 265
E.Gonza´lezandC.Woodward
12 ToricVarietiesandaGeneralizationoftheSpringer
Resolution 333
WilliamGraham
13 ToricSurfaces,LinearandQuantumCodes:Secret
SharingandDecoding 371
JohanP.Hansen