Lagrangian planes in hyperkähler varieties of K3(n)-type

Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperkähler variety of K 3[n]-type in terms of the class of a line on it. We give a proof of this conjecture if the line class is primitive.

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Oberdieck, Georg (Verfasst von)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 7 May 2025
In: Mathematische Zeitschrift
Year: 2025, Jahrgang: 310, Heft: 3, Pages: 1-20
ISSN:1432-1823
DOI:10.1007/s00209-025-03755-1
Online-Zugang:Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00209-025-03755-1
Verlag, kostenfrei, Volltext: https://link.springer.com/10.1007/s00209-025-03755-1
Volltext
Verfasserangaben:Georg Oberdieck

MARC

LEADER 00000caa a2200000 c 4500
001 1934632813
003 DE-627
005 20250828102327.0
007 cr uuu---uuuuu
008 250825s2025 xx |||||o 00| ||eng c
024 7 |a 10.1007/s00209-025-03755-1  |2 doi 
035 |a (DE-627)1934632813 
035 |a (DE-599)KXP1934632813 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Oberdieck, Georg  |d 1988-  |e VerfasserIn  |0 (DE-588)1081631104  |0 (DE-627)846374161  |0 (DE-576)454645198  |4 aut 
245 1 0 |a Lagrangian planes in hyperkähler varieties of K3(n)-type  |c Georg Oberdieck 
246 3 3 |a Lagrangian planes in hyperkähler varieties of K3 n -type 
264 1 |c 7 May 2025 
300 |a 20 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 25.08.2025 
500 |a Im Text ist "n" in eckiger Klammer hochgestellt 
520 |a Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperkähler variety of K 3[n]-type in terms of the class of a line on it. We give a proof of this conjecture if the line class is primitive. 
773 0 8 |i Enthalten in  |t Mathematische Zeitschrift  |d Berlin : Springer, 1918  |g 310(2025), 3, Artikel-ID 49, Seite 1-20  |h Online-Ressource  |w (DE-627)254630812  |w (DE-600)1462134-4  |w (DE-576)074529722  |x 1432-1823  |7 nnas  |a Lagrangian planes in hyperkähler varieties of K3(n)-type 
773 1 8 |g volume:310  |g year:2025  |g number:3  |g elocationid:49  |g pages:1-20  |g extent:20  |a Lagrangian planes in hyperkähler varieties of K3(n)-type 
856 4 0 |u https://doi.org/10.1007/s00209-025-03755-1  |x Verlag  |x Resolving-System  |z kostenfrei  |3 Volltext 
856 4 0 |u https://link.springer.com/10.1007/s00209-025-03755-1  |x Verlag  |z kostenfrei  |3 Volltext 
951 |a AR 
992 |a 20250825 
993 |a Article 
994 |a 2025 
998 |g 1081631104  |a Oberdieck, Georg  |m 1081631104:Oberdieck, Georg  |d 110000  |d 110400  |e 110000PO1081631104  |e 110400PO1081631104  |k 0/110000/  |k 1/110000/110400/  |p 1  |x j  |y j 
999 |a KXP-PPN1934632813  |e 4763859935 
BIB |a Y 
SER |a journal 
JSO |a {"physDesc":[{"extent":"20 S."}],"id":{"eki":["1934632813"],"doi":["10.1007/s00209-025-03755-1"]},"type":{"bibl":"article-journal","media":"Online-Ressource"},"title":[{"title":"Lagrangian planes in hyperkähler varieties of K3(n)-type","title_sort":"Lagrangian planes in hyperkähler varieties of K3(n)-type"}],"relHost":[{"id":{"issn":["1432-1823"],"eki":["254630812"],"zdb":["1462134-4"]},"disp":"Lagrangian planes in hyperkähler varieties of K3(n)-typeMathematische Zeitschrift","pubHistory":["1.1918 -"],"origin":[{"dateIssuedKey":"1918","dateIssuedDisp":"1918-","publisher":"Springer","publisherPlace":"Berlin ; Heidelberg"}],"recId":"254630812","part":{"text":"310(2025), 3, Artikel-ID 49, Seite 1-20","volume":"310","extent":"20","issue":"3","pages":"1-20","year":"2025"},"physDesc":[{"extent":"Online-Ressource"}],"type":{"bibl":"periodical","media":"Online-Ressource"},"title":[{"title":"Mathematische Zeitschrift","title_sort":"Mathematische Zeitschrift"}],"language":["eng"],"note":["Gesehen am 02.12.05"]}],"person":[{"given":"Georg","role":"aut","display":"Oberdieck, Georg","family":"Oberdieck"}],"note":["Gesehen am 25.08.2025","Im Text ist \"n\" in eckiger Klammer hochgestellt"],"language":["eng"],"origin":[{"dateIssuedKey":"2025","dateIssuedDisp":"7 May 2025"}],"name":{"displayForm":["Georg Oberdieck"]},"recId":"1934632813","titleAlt":[{"title":"Lagrangian planes in hyperkähler varieties of K3 n -type"}]} 
SRT |a OBERDIECKGLAGRANGIAN7202