Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules
We endow certain GKZ-hypergeometric systems with a natural structure of a mixed Hodge module, which is compatible with the mixed Hodge module structure on the Gauß-Manin system of an associated family of Laurent polynomials. As an application we show that the underlying perverse sheaf of a GKZ-syste...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
24 April 2014
|
| In: |
Compositio mathematica
Year: 2014, Jahrgang: 150, Heft: 6, Pages: 911-941 |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X13007744 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1112/S0010437X13007744 Verlag, Volltext: https://www.cambridge.org/core/journals/compositio-mathematica/article/laurent-polynomials-gkzhypergeometric-systems-and-mixed-hodge-modules/1C6741172A57AA224831C0E24EF2C1F2 
|
| Verfasserangaben: | Thomas Reichelt |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1562387006 | ||
| 003 | DE-627 | ||
| 005 | 20220813212053.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 170814s2014 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1112/S0010437X13007744 |2 doi | |
| 035 | |a (DE-627)1562387006 | ||
| 035 | |a (DE-576)492387001 | ||
| 035 | |a (DE-599)BSZ492387001 | ||
| 035 | |a (OCoLC)1340978470 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Reichelt, Thomas |e VerfasserIn |0 (DE-588)1014841011 |0 (DE-627)667900969 |0 (DE-576)349739358 |4 aut | |
| 245 | 1 | 0 | |a Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules |c Thomas Reichelt |
| 264 | 1 | |c 24 April 2014 | |
| 300 | |a 31 | ||
| 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 14.08.2017 | ||
| 520 | |a We endow certain GKZ-hypergeometric systems with a natural structure of a mixed Hodge module, which is compatible with the mixed Hodge module structure on the Gauß-Manin system of an associated family of Laurent polynomials. As an application we show that the underlying perverse sheaf of a GKZ-system with rational parameter has quasi-unipotent local monodromy. | ||
| 650 | 4 | |a 14D07 | |
| 650 | 4 | |a 32G34 (primary) | |
| 650 | 4 | |a 32S35 | |
| 650 | 4 | |a 32S40 | |
| 650 | 4 | |a Gauß-Manin system | |
| 650 | 4 | |a hypergeometric D-module | |
| 650 | 4 | |a mixed Hodge module | |
| 650 | 4 | |a Radon transformation | |
| 773 | 0 | 8 | |i Enthalten in |t Compositio mathematica |d Cambridge : Cambridge Univ. Press, 1935 |g 150(2014), 6, Seite 911-941 |h Online-Ressource |w (DE-627)266882692 |w (DE-600)1468114-6 |w (DE-576)102668906 |x 1570-5846 |7 nnas |a Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules |
| 773 | 1 | 8 | |g volume:150 |g year:2014 |g number:6 |g pages:911-941 |g extent:31 |a Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1112/S0010437X13007744 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://www.cambridge.org/core/journals/compositio-mathematica/article/laurent-polynomials-gkzhypergeometric-systems-and-mixed-hodge-modules/1C6741172A57AA224831C0E24EF2C1F2 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20170814 | ||
| 993 | |a Article | ||
| 994 | |a 2014 | ||
| 998 | |g 1014841011 |a Reichelt, Thomas |m 1014841011:Reichelt, Thomas |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1562387006 |e 2977687564 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"recId":"1562387006","language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 14.08.2017"],"title":[{"title":"Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules","title_sort":"Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules"}],"person":[{"family":"Reichelt","given":"Thomas","display":"Reichelt, Thomas","roleDisplay":"VerfasserIn","role":"aut"}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"publisherPlace":"Cambridge ; Dordrecht [u.a.]","dateIssuedKey":"1935","publisher":"Cambridge Univ. Press ; Kluwer","dateIssuedDisp":"1935-"}],"id":{"zdb":["1468114-6"],"eki":["266882692"],"issn":["1570-5846"]},"pubHistory":["1.1935 -"],"part":{"pages":"911-941","issue":"6","year":"2014","extent":"31","text":"150(2014), 6, Seite 911-941","volume":"150"},"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modulesCompositio mathematica","note":["Gesehen am 05.03.2018"],"recId":"266882692","language":["eng"],"title":[{"title_sort":"Compositio mathematica","title":"Compositio mathematica"}]}],"physDesc":[{"extent":"31 S."}],"id":{"eki":["1562387006"],"doi":["10.1112/S0010437X13007744"]},"origin":[{"dateIssuedKey":"2014","dateIssuedDisp":"24 April 2014"}],"name":{"displayForm":["Thomas Reichelt"]}} | ||
| SRT | |a REICHELTTHLAURENTPOL2420 | ||